1
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Search.setIndex({"alltitles": {"1. Where should I send SLEPc bug reports and questions?": [[5, "where-should-i-send-slepc-bug-reports-and-questions"]], "10. I get an error when running shift-and-invert in parallel": [[5, "i-get-an-error-when-running-shift-and-invert-in-parallel"]], "11. Building an application with CMake or pkg_config": [[5, "building-an-application-with-cmake-or-pkg-config"]], "12. Why is it generally a bad idea to use EPS_SMALLEST_MAGNITUDE?": [[5, "why-is-it-generally-a-bad-idea-to-use-eps-smallest-magnitude"]], "13. Creating a sparse matrix gets terribly slow when I increase the matrix size": [[5, "creating-a-sparse-matrix-gets-terribly-slow-when-i-increase-the-matrix-size"]], "14. conda-forge: how to install slepc4py with complex scalars": [[5, "conda-forge-how-to-install-slepc4py-with-complex-scalars"]], "15. spack: how to install slepc4py with complex scalars": [[5, "spack-how-to-install-slepc4py-with-complex-scalars"]], "16. Eigenvectors have nonzero imaginary part": [[5, "eigenvectors-have-nonzero-imaginary-part"]], "2. Is there a SLEPc users mailing list?": [[5, "is-there-a-slepc-users-mailing-list"]], "3. How can I receive announcements of new SLEPc versions?": [[5, "how-can-i-receive-announcements-of-new-slepc-versions"]], "4. How should I cite SLEPc?": [[5, "how-should-i-cite-slepc"]], "5. Apart from PETSc, is it necessary to install other software to use SLEPc?": [[5, "apart-from-petsc-is-it-necessary-to-install-other-software-to-use-slepc"]], "6. I do not see any speedup when using more than one process": [[5, "i-do-not-see-any-speedup-when-using-more-than-one-process"]], "7. Which is the recommended way of learning SLEPc?": [[5, "which-is-the-recommended-way-of-learning-slepc"]], "8. From 3.0.0 to 3.1 the behavior of shift-and-invert has changed": [[5, "from-3-0-0-to-3-1-the-behavior-of-shift-and-invert-has-changed"]], "9. I get an error when retrieving the eigenvector": [[5, "i-get-an-error-when-retrieving-the-eigenvector"]], "ARPACK": [[20, "arpack"]], "About": [[0, "about"]], "Accuracy and Monitors": [[24, "accuracy-and-monitors"]], "Acknowledgement and Funding": [[1, "acknowledgement-and-funding"]], "Additional Documentation": [[16, "additional-documentation"]], "Additional Information": [[3, "additional-information"], [20, "additional-information"]], "Advanced - Setting more advanced options and customization": [[184, "advanced-setting-more-advanced-options-and-customization"], [298, "advanced-setting-more-advanced-options-and-customization"], [584, "advanced-setting-more-advanced-options-and-customization"], [635, "advanced-setting-more-advanced-options-and-customization"], [706, "advanced-setting-more-advanced-options-and-customization"], [765, "advanced-setting-more-advanced-options-and-customization"], [952, "advanced-setting-more-advanced-options-and-customization"], [1133, 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"tab-portionn"]], "Available possibilities for selection of the eigenvalues of interest in PEP": [[26, "tab-portionq"]], "Available possibilities for selection of the singular values of interest": [[28, "tab-whichsvd"]], "Available possibilities for the convergence criterion": [[19, "tab-convergence"], [26, "tab-pepconv"]], "Available possibilities for the convergence criterion, with Z=A in the standard SVD or as defined in equation (11) for the GSVD": [[28, "tab-svdconvergence"]], "Avoiding the Linearization": [[26, "avoiding-the-linearization"]], "B": [[1486, "b"]], "BLOPEX": [[20, "blopex"]], "BV": [[34, "bv"]], "BV: Basis Vectors": [[18, "sec-bv"]], "BVAppendOptionsPrefix": [[35, "bvappendoptionsprefix"]], "BVApplyMatrix": [[36, "bvapplymatrix"]], "BVApplyMatrixBV": [[37, "bvapplymatrixbv"]], "BVBiorthogonalizeColumn": [[38, "bvbiorthogonalizecolumn"]], "BVBiorthonormalizeColumn": [[39, "bvbiorthonormalizecolumn"]], "BVCISSResizeBases": [[40, "bvcissresizebases"]], "BVCONTIGUOUS": 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"STFilterGetRange": [[1197, "stfiltergetrange"]], "STFilterGetThreshold": [[1198, "stfiltergetthreshold"]], "STFilterGetType": [[1199, "stfiltergettype"]], "STFilterSetDamping": [[1200, "stfiltersetdamping"]], "STFilterSetDegree": [[1201, "stfiltersetdegree"]], "STFilterSetInterval": [[1202, "stfiltersetinterval"]], "STFilterSetRange": [[1203, "stfiltersetrange"]], "STFilterSetType": [[1204, "stfiltersettype"]], "STFilterType": [[1205, "stfiltertype"]], "STFinalizePackage": [[1206, "stfinalizepackage"]], "STGetBalanceMatrix": [[1207, "stgetbalancematrix"]], "STGetBilinearForm": [[1208, "stgetbilinearform"]], "STGetKSP": [[1209, "stgetksp"]], "STGetMatMode": [[1210, "stgetmatmode"]], "STGetMatStructure": [[1211, "stgetmatstructure"]], "STGetMatrix": [[1212, "stgetmatrix"]], "STGetMatrixTransformed": [[1213, "stgetmatrixtransformed"]], "STGetNumMatrices": [[1214, "stgetnummatrices"]], "STGetOperator": [[1215, "stgetoperator"]], "STGetOptionsPrefix": [[1216, "stgetoptionsprefix"]], 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"SVDMonitorConditioning": [[1351, "svdmonitorconditioning"]], "SVDMonitorConverged": [[1352, "svdmonitorconverged"]], "SVDMonitorConvergedDrawLG": [[1353, "svdmonitorconvergeddrawlg"]], "SVDMonitorConvergedDrawLGCreate": [[1354, "svdmonitorconvergeddrawlgcreate"]], "SVDMonitorFirst": [[1355, "svdmonitorfirst"]], "SVDMonitorFirstDrawLG": [[1356, "svdmonitorfirstdrawlg"]], "SVDMonitorFirstDrawLGCreate": [[1357, "svdmonitorfirstdrawlgcreate"]], "SVDMonitorFn": [[1358, "svdmonitorfn"]], "SVDMonitorRegister": [[1359, "svdmonitorregister"]], "SVDMonitorRegisterAll": [[1360, "svdmonitorregisterall"]], "SVDMonitorRegisterCreateFn": [[1361, "svdmonitorregistercreatefn"]], "SVDMonitorRegisterDestroyFn": [[1362, "svdmonitorregisterdestroyfn"]], "SVDMonitorRegisterFn": [[1363, "svdmonitorregisterfn"]], "SVDMonitorSet": [[1364, "svdmonitorset"]], "SVDMonitorSetFromOptions": [[1365, "svdmonitorsetfromoptions"]], "SVDPRIMME": [[1366, "svdprimme"]], "SVDPRIMMEGetBlockSize": [[1367, 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"synopsis"], [1317, "synopsis"], [1318, "synopsis"], [1319, "synopsis"], [1320, "synopsis"], [1321, "synopsis"], [1322, "synopsis"], [1323, "synopsis"], [1324, "synopsis"], [1325, "synopsis"], [1326, "synopsis"], [1327, "synopsis"], [1328, "synopsis"], [1329, "synopsis"], [1330, "synopsis"], [1331, "synopsis"], [1332, "synopsis"], [1333, "synopsis"], [1334, "synopsis"], [1335, "synopsis"], [1337, "synopsis"], [1338, "synopsis"], [1339, "synopsis"], [1340, "synopsis"], [1341, "synopsis"], [1342, "synopsis"], [1345, "synopsis"], [1346, "synopsis"], [1347, "synopsis"], [1348, "synopsis"], [1349, "synopsis"], [1350, "synopsis"], [1351, "synopsis"], [1352, "synopsis"], [1353, "synopsis"], [1354, "synopsis"], [1355, "synopsis"], [1356, "synopsis"], [1357, "synopsis"], [1358, "synopsis"], [1359, "synopsis"], [1360, "synopsis"], [1361, "synopsis"], [1362, "synopsis"], [1363, "synopsis"], [1364, "synopsis"], [1365, "synopsis"], [1367, "synopsis"], [1368, "synopsis"], [1369, "synopsis"], [1370, "synopsis"], [1371, "synopsis"], [1372, "synopsis"], [1374, "synopsis"], [1375, "synopsis"], [1376, "synopsis"], [1377, "synopsis"], [1379, "synopsis"], [1380, "synopsis"], [1381, "synopsis"], [1382, "synopsis"], [1383, "synopsis"], [1384, "synopsis"], [1385, "synopsis"], [1386, "synopsis"], [1387, "synopsis"], [1388, "synopsis"], [1389, "synopsis"], [1390, "synopsis"], [1391, "synopsis"], [1392, "synopsis"], [1393, "synopsis"], [1394, "synopsis"], [1395, "synopsis"], [1396, "synopsis"], [1397, "synopsis"], [1398, "synopsis"], [1399, "synopsis"], [1400, "synopsis"], [1401, "synopsis"], [1402, "synopsis"], [1403, "synopsis"], [1404, "synopsis"], [1405, "synopsis"], [1406, "synopsis"], [1408, "synopsis"], [1409, "synopsis"], [1410, "synopsis"], [1411, "synopsis"], [1412, "synopsis"], [1413, "synopsis"], [1414, "synopsis"], [1415, "synopsis"], [1416, "synopsis"], [1417, "synopsis"], [1418, "synopsis"], [1419, "synopsis"], [1420, "synopsis"], [1421, "synopsis"], [1422, "synopsis"], [1423, "synopsis"], [1424, "synopsis"], [1425, "synopsis"], [1426, "synopsis"], [1427, "synopsis"], [1428, "synopsis"], [1429, "synopsis"], [1430, "synopsis"], [1447, "synopsis"], [1448, "synopsis"], [1449, "synopsis"], [1450, "synopsis"], [1451, "synopsis"], [1452, "synopsis"], [1453, "synopsis"], [1454, "synopsis"], [1455, "synopsis"], [1456, "synopsis"], [1457, "synopsis"], [1458, "synopsis"], [1459, "synopsis"], [1460, "synopsis"], [1462, "synopsis"], [1463, "synopsis"], [1464, "synopsis"], [1465, "synopsis"], [1466, "synopsis"], [1467, "synopsis"], [1468, "synopsis"], [1469, "synopsis"], [1470, "synopsis"], [1471, "synopsis"], [1473, "synopsis"], [1474, "synopsis"], [1475, "synopsis"], [1476, "synopsis"], [1477, "synopsis"], [1478, "synopsis"], [1479, "synopsis"], [1480, "synopsis"], [1481, "synopsis"]], "Table Of Contents": [[5, "table-of-contents"]], "Table of SLEPc/PETSc Releases": [[31, null]], "Tarball": [[31, "tarball"]], "Technical Reports": [[1488, "technical-reports"]], "The (Standard) Singular Value Decomposition (SVD)": [[28, "sec-svd"]], "The Case of Preconditioned Eigensolvers": [[27, "the-case-of-preconditioned-eigensolvers"]], "The Computed Solution": [[19, "the-computed-solution"]], "The Generalized Singular Value Decomposition (GSVD)": [[28, "sec-gsvd"]], "The Hyperbolic Singular Value Decomposition (HSVD)": [[28, "sec-hsvd"]], "The Problem f(A)v": [[24, "sec-mfn"]], "Tutorials": [[29, "tutorials"]], "Use of Multiple Communicators": [[27, "use-of-multiple-communicators"]], "Used DS matrices": [[193, "used-ds-matrices"], [194, "used-ds-matrices"], [195, "used-ds-matrices"], [196, "used-ds-matrices"], [216, "used-ds-matrices"], [217, "used-ds-matrices"], [226, "used-ds-matrices"], [243, "used-ds-matrices"], [244, "used-ds-matrices"], [246, "used-ds-matrices"], [261, "used-ds-matrices"]], "Users Mailing List": [[4, "users-mailing-list"]], "Using Callback Functions": [[25, "sec-nepjac"]], "Using a Computational Interval": [[1488, "using-a-computational-interval"]], "Using a threshold to specify wanted singular values": [[28, "sec-thres"]], "V": [[1486, "v"]], "VECCOMP": [[1472, "veccomp"]], "Values": [[97, "values"], [112, "values"], [113, "values"], [114, "values"], [130, "values"], [225, "values"], [251, "values"], [280, "values"], [309, "values"], [314, "values"], [322, "values"], [330, "values"], [331, "values"], [340, "values"], [341, "values"], [352, "values"], [355, "values"], [426, "values"], [458, "values"], [499, "values"], [500, "values"], [544, "values"], [556, "values"], [590, "values"], [609, "values"], [640, "values"], [676, "values"], [710, "values"], [774, "values"], [787, "values"], [788, "values"], [794, "values"], [874, "values"], [889, "values"], [891, "values"], [932, "values"], [942, "values"], [956, "values"], [958, "values"], [970, "values"], [971, "values"], [977, "values"], [980, "values"], [1016, "values"], [1047, "values"], [1053, "values"], [1055, "values"], [1071, "values"], [1101, "values"], [1116, "values"], [1162, "values"], [1193, "values"], [1205, "values"], [1231, "values"], [1293, "values"], [1294, "values"], [1309, "values"], [1372, "values"], [1402, "values"], [1408, "values"], [1430, "values"]], "VecCheckOrthogonality": [[1473, "veccheckorthogonality"]], "VecCheckOrthonormality": [[1474, "veccheckorthonormality"]], "VecCompGetSubVecs": [[1475, "veccompgetsubvecs"]], "VecCompSetSubVecs": [[1476, "veccompsetsubvecs"]], "VecCreateComp": [[1477, "veccreatecomp"]], "VecCreateCompWithVecs": [[1478, "veccreatecompwithvecs"]], "VecDuplicateEmpty": [[1479, "vecduplicateempty"]], "VecNormalizeComplex": [[1480, "vecnormalizecomplex"]], "VecSetRandomNormal": [[1481, "vecsetrandomnormal"]], "Video-Tutorials": [[16, "video-tutorials"]], "Viewing the Solution": [[19, "sec-epsviewers"], [28, "viewing-the-solution"]], "Wrappers to External Libraries": [[20, "sec-wrap"]], "Writing Application Codes with SLEPc": [[22, "writing-application-codes-with-slepc"]], 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"manualpages/PEP/PEPStop", "manualpages/PEP/PEPStoppingBasic", "manualpages/PEP/PEPStoppingTestFn", "manualpages/PEP/PEPTOAR", "manualpages/PEP/PEPTOARGetLocking", "manualpages/PEP/PEPTOARGetRestart", "manualpages/PEP/PEPTOARSetLocking", "manualpages/PEP/PEPTOARSetRestart", "manualpages/PEP/PEPType", "manualpages/PEP/PEPValuesView", "manualpages/PEP/PEPValuesViewFromOptions", "manualpages/PEP/PEPVectorsView", "manualpages/PEP/PEPVectorsViewFromOptions", "manualpages/PEP/PEPView", "manualpages/PEP/PEPViewFromOptions", "manualpages/PEP/PEPWhich", "manualpages/PEP/PEP_CONVERGED_ITERATING", "manualpages/PEP/PEP_CONVERGED_TOL", "manualpages/PEP/PEP_CONVERGED_USER", "manualpages/PEP/PEP_DIVERGED_BREAKDOWN", "manualpages/PEP/PEP_DIVERGED_ITS", "manualpages/PEP/PEP_DIVERGED_SYMMETRY_LOST", "manualpages/PEP/PEP_EXTRACT_NONE", "manualpages/PEP/PEP_EXTRACT_NORM", "manualpages/PEP/PEP_EXTRACT_RESIDUAL", "manualpages/PEP/PEP_EXTRACT_STRUCTURED", "manualpages/PEP/PEP_GENERAL", 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[1, 31], "ai": [18, 1137, 1455, 1468], "aid": [23, 24, 1482], "aijcuspars": 20, "aijhipspars": 20, "aim": [19, 27], "al": [18, 19, 20, 22, 24, 25, 27, 28, 150, 171, 174, 179, 301, 305, 306, 310, 312, 313, 314, 322, 325, 326, 327, 337, 338, 339, 340, 341, 347, 348, 349, 350, 351, 369, 426, 439, 442, 444, 448, 458, 459, 496, 499, 501, 508, 557, 575, 576, 577, 773, 782, 783, 857, 872, 957, 964, 966, 967, 1010, 1104, 1193, 1308, 1336, 1337, 1340, 1343, 1344, 1346, 1373, 1378, 1407, 1408, 1420], "algebra": [19, 20, 22, 23, 26, 27, 28, 29, 30, 273, 512, 578, 827, 872, 891, 968, 1055, 1059, 1488], "algorithm": [18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 115, 171, 179, 273, 305, 339, 340, 341, 347, 348, 349, 350, 351, 356, 374, 402, 425, 509, 512, 538, 578, 597, 621, 824, 827, 872, 895, 926, 968, 1002, 1010, 1048, 1090, 1281, 1373, 1483, 1484, 1485, 1488], "align": [28, 139, 608, 611], "all": [0, 1, 2, 5, 6, 7, 8, 10, 14, 15, 16, 18, 20, 21, 22, 23, 25, 26, 27, 31, 33, 34, 35, 36, 37, 38, 39, 40, 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1464, 1465], "comment": [5, 6, 7, 19, 25, 27, 28, 524], "commerci": 31, "common": [18, 19, 20, 22, 66, 302, 504, 522, 637, 708, 767, 913, 954, 1082, 1189, 1202, 1288, 1374, 1387, 1467], "commonli": [19, 21, 26, 27, 536, 925, 1095, 1396], "commun": [19, 20, 22, 26, 30, 45, 46, 48, 130, 134, 156, 163, 174, 182, 189, 206, 272, 281, 293, 305, 319, 326, 335, 433, 435, 436, 443, 446, 591, 593, 623, 634, 639, 643, 713, 774, 778, 780, 782, 792, 815, 918, 958, 962, 964, 966, 975, 1000, 1088, 1141, 1190, 1298, 1461, 1477, 1488], "comp": [20, 22, 27, 179, 202, 265, 910, 1079, 1472, 1488], "compact": [26, 28, 48, 157, 193, 194, 196, 202, 206, 216, 217, 261, 265, 867, 1104], "compani": 31, "companion": [25, 26], "compar": [9, 18, 19, 22, 27, 28, 305, 919, 1257, 1262, 1467, 1468], "comparison": [20, 22, 31, 278, 519, 910, 1079, 1455, 1467, 1468], "comparisonctx": 1467, "compat": [19, 20, 22, 435, 1226, 1227, 1450], "competit": [19, 300, 360, 410, 447, 482, 501, 509, 1010, 1343], "competitividad": 1, 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463, 857, 1421, 1489], "compromis": [8, 19], "comput": [0, 1, 5, 7, 9, 10, 13, 15, 16, 18, 21, 22, 23, 24, 25, 29, 37, 52, 53, 54, 55, 56, 57, 58, 59, 66, 85, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 112, 113, 115, 116, 117, 118, 119, 129, 130, 135, 136, 137, 141, 144, 150, 156, 158, 163, 171, 173, 174, 175, 178, 181, 182, 183, 188, 196, 206, 221, 226, 235, 236, 241, 243, 244, 251, 272, 273, 277, 278, 281, 282, 283, 284, 287, 291, 292, 293, 305, 306, 309, 310, 313, 323, 329, 334, 337, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 360, 377, 379, 380, 381, 382, 383, 385, 386, 388, 400, 401, 410, 425, 429, 430, 431, 435, 438, 440, 441, 443, 446, 447, 449, 456, 482, 487, 501, 508, 510, 512, 513, 514, 515, 518, 520, 523, 528, 529, 530, 534, 535, 536, 537, 538, 541, 543, 546, 548, 550, 551, 552, 553, 559, 565, 568, 576, 577, 580, 582, 595, 596, 597, 598, 609, 621, 623, 631, 633, 634, 635, 639, 644, 645, 652, 680, 688, 689, 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1446, 1453, 1454, 1467, 1473], "computaci": 1488, "computation": [28, 1066, 1394], "con": [852, 876, 895], "conceal": 22, "concentr": [22, 24, 1167], "concept": [0, 2, 18, 19, 21, 22, 24, 25, 27, 28, 184], "conceptu": 19, "concern": 23, "concert": 31, "conclud": 23, "conclus": [19, 22, 1456], "concurr": 1488, "cond": 188, "conda": 32, "conden": 19, "condens": [275, 277, 278, 279, 280, 294], "condit": [7, 8, 10, 17, 22, 26, 27, 31, 113, 115, 147, 171, 179, 188, 272, 281, 292, 331, 532, 534, 547, 548, 560, 582, 623, 633, 788, 922, 934, 945, 971, 1092, 1103, 1119, 1294, 1351, 1364, 1393, 1394, 1405, 1406, 1434, 1444], "condn": 147, "conf": [3, 6, 20, 22], "confer": [23, 26], "config": 20, "configur": [3, 5, 6, 17, 19, 20, 23, 25, 28, 32, 33, 328, 380, 381, 382, 388, 507, 521, 534, 552, 684, 749, 773, 805, 810, 852, 876, 895, 911, 918, 938, 957, 989, 1022, 1081, 1088, 1112, 1202, 1274, 1385, 1394, 1440, 1441, 1460], "confin": 18, "confirm": 1459, "conjug": [0, 9, 19, 20, 22, 26, 28, 52, 56, 93, 94, 102, 111, 156, 163, 194, 214, 244, 287, 449, 501, 552, 756, 938, 1112, 1136, 1182, 1274, 1470, 1471], "connect": [13, 19, 24, 27], "conquer": [193, 216, 261, 1489], "consecut": [19, 445, 1470, 1471], "consequenti": 17, "conserv": 1489, "consid": [0, 8, 18, 22, 27, 104, 135, 137, 158, 196, 523, 534, 624, 772, 1083, 1198, 1432, 1468], "consider": [8, 19, 25, 26, 27, 28, 1462], "consist": [2, 18, 19, 20, 22, 24, 27, 28, 56, 156, 380, 805, 989, 1143, 1151, 1163, 1326, 1472], "const": [22, 35, 65, 75, 120, 124, 143, 164, 167, 187, 209, 254, 271, 285, 289, 303, 391, 475, 481, 505, 526, 549, 555, 586, 601, 617, 622, 626, 628, 638, 656, 669, 675, 677, 685, 693, 695, 709, 725, 735, 741, 742, 751, 757, 759, 768, 812, 845, 851, 892, 915, 935, 941, 955, 997, 1040, 1046, 1056, 1085, 1109, 1115, 1135, 1148, 1164, 1170, 1173, 1175, 1180, 1216, 1243, 1259, 1278, 1280, 1289, 1323, 1359, 1365, 1375, 1389, 1423, 1429, 1460, 1462, 1465, 1475], "constant": [19, 25, 173, 413, 420, 482, 494, 496, 499, 575, 625, 857, 876, 877, 883, 1249], "constantinescu": 22, "constitu": [18, 26], "constitut": [34, 517, 522, 524, 588, 589, 913, 1082, 1387], "constrain": 28, "constraint": [42, 64, 65, 66, 68, 74, 80, 85, 116, 118, 136, 142, 1189], "construct": [19, 25, 26, 27, 1217, 1260, 1302, 1306, 1373, 1416], "consult": 28, "contact": [5, 23, 1487], "contain": [8, 10, 18, 19, 20, 21, 22, 25, 26, 27, 28, 32, 47, 48, 56, 64, 65, 66, 68, 71, 80, 81, 85, 89, 90, 98, 111, 116, 128, 129, 134, 156, 158, 206, 207, 244, 278, 283, 337, 345, 350, 387, 445, 548, 552, 644, 654, 659, 722, 772, 798, 808, 833, 919, 938, 993, 1112, 1137, 1138, 1159, 1196, 1197, 1202, 1203, 1248, 1320, 1325, 1391, 1406, 1461, 1467, 1470, 1471, 1473, 1477, 1478], "content": [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 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1120, 1320, 1435], "determin": [19, 25, 26, 27, 28, 79, 112, 113, 114, 119, 129, 331, 333, 354, 355, 387, 430, 500, 533, 543, 545, 548, 551, 553, 556, 590, 640, 642, 654, 676, 683, 710, 712, 718, 722, 747, 761, 788, 790, 796, 808, 856, 857, 872, 874, 887, 919, 923, 931, 933, 937, 939, 942, 968, 971, 973, 979, 993, 1047, 1063, 1093, 1100, 1102, 1111, 1113, 1116, 1136, 1137, 1138, 1155, 1162, 1231, 1257, 1294, 1296, 1311, 1320, 1372, 1401, 1403, 1406, 1425, 1427, 1430, 1457, 1460, 1466], "dev": 32, "develop": [1, 2, 3, 5, 15, 18, 20, 22, 23, 30, 32, 33, 37, 40, 50, 56, 62, 67, 78, 84, 108, 129, 130, 134, 136, 142, 151, 156, 163, 192, 212, 222, 223, 224, 227, 232, 235, 236, 240, 245, 252, 253, 274, 281, 282, 283, 290, 354, 359, 400, 405, 481, 516, 536, 540, 551, 553, 593, 599, 606, 644, 645, 647, 662, 675, 691, 716, 728, 741, 754, 769, 770, 771, 785, 786, 796, 797, 823, 828, 851, 875, 908, 925, 928, 937, 939, 979, 981, 1006, 1009, 1046, 1077, 1095, 1097, 1111, 1113, 1136, 1146, 1152, 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"epssolv": [7, 12, 19, 20, 22, 27, 329, 331, 335, 336, 353, 375, 376, 380, 381, 382, 383, 386, 387, 388, 390, 430, 517, 522, 525, 540, 550, 552, 554, 558, 559, 560, 561, 562, 563, 584, 1240, 1486], "epssolve_arnoldi": 543, "epssolve_arpack": 543, "epssolve_blopex": 543, "epssolve_chas": 543, "epssolve_ciss": 543, "epssolve_element": 543, "epssolve_elpa": 543, "epssolve_evsl": 543, "epssolve_feast": 543, "epssolve_lanczo": 543, "epssolve_lapack": 543, "epssolve_lobpcg": 543, "epssolve_lyapii": 543, "epssolve_pow": 543, "epssolve_primm": 543, "epssolve_rqcg": 543, "epssolve_scalapack": 543, "epssolve_subspac": 543, "epssolve_xd": 543, "epsstop": [396, 531, 581, 582, 583, 584, 1486], "epsstoppingbas": [532, 548, 581, 584, 1486], "epsstoppingctx": [548, 584, 1486], "epsstoppingtestfn": [532, 584, 1486], "epsstoppingthreshold": [545, 582, 584, 1486], "epssubspac": [19, 522, 549, 584, 1486], "epstyp": [19, 20, 22, 300, 301, 306, 310, 313, 337, 338, 339, 356, 360, 403, 410, 425, 447, 448, 449, 456, 482, 483, 501, 508, 509, 539, 584, 1460, 1486], "epsvaluesview": [19, 353, 551, 552, 584, 1486], "epsvaluesviewfromopt": [584, 1486], "epsvectorsview": [19, 353, 550, 553, 584, 1486], "epsvectorsviewfromopt": [584, 1486], "epsview": [7, 19, 332, 333, 353, 354, 550, 551, 552, 553, 555, 584, 1428, 1486], "epsview_arnoldi": 554, "epsview_blopex": 554, "epsview_chas": 554, "epsview_ciss": 554, "epsview_evsl": 554, "epsview_feast": 554, "epsview_gd": 554, "epsview_jd": 554, "epsview_krylovschur": 554, "epsview_lanczo": 554, "epsview_lobpcg": 554, "epsview_lyapii": 554, "epsview_pow": 554, "epsview_primm": 554, "epsview_rqcg": 554, "epsviewfromopt": [554, 584, 1486], "epswhich": [19, 404, 519, 541, 546, 584, 1486], "eq": 20, "equal": [8, 19, 20, 23, 27, 28, 48, 52, 57, 66, 98, 99, 100, 101, 103, 115, 139, 150, 152, 193, 203, 206, 214, 216, 244, 267, 281, 316, 446, 597, 776, 861, 875, 919, 960, 1018, 1136, 1156, 1257, 1284, 1326, 1400, 1455, 1468, 1473, 1474], "equat": [0, 8, 19, 20, 21, 22, 24, 25, 26, 27, 29, 413, 414, 421, 456, 460, 462, 463, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 876, 879, 885, 1011, 1017, 1250, 1447, 1484, 1485, 1489], "equiv": [19, 28], "equival": [0, 5, 6, 8, 10, 14, 19, 20, 22, 26, 27, 53, 61, 90, 100, 118, 119, 223, 301, 870, 1186, 1290, 1291, 1306, 1461, 1474], "er": 1454, "eri80": 27, "ericsson": 27, "erlandson": [20, 339, 340, 341, 347, 348, 349, 350, 351], "ernst": [23, 24, 729], "errest": [334, 383, 464, 465, 468, 469, 471, 472, 474, 479, 652, 665, 666, 668, 673, 731, 732, 734, 739, 791, 806, 834, 835, 838, 839, 841, 842, 844, 849, 974, 990, 1029, 1030, 1033, 1034, 1036, 1037, 1039, 1044, 1297, 1347, 1348, 1351, 1352, 1353, 1355, 1356, 1358, 1363], "error": [6, 7, 10, 11, 20, 22, 23, 24, 25, 27, 28, 33, 115, 137, 171, 329, 334, 352, 353, 354, 377, 383, 446, 464, 465, 466, 468, 469, 471, 472, 473, 474, 479, 480, 513, 514, 543, 547, 559, 639, 652, 653, 665, 666, 667, 668, 673, 674, 683, 720, 731, 732, 733, 734, 739, 740, 747, 762, 784, 791, 794, 795, 796, 802, 806, 834, 835, 836, 838, 839, 841, 842, 843, 844, 849, 850, 884, 900, 905, 906, 931, 934, 944, 969, 974, 977, 978, 979, 986, 990, 1029, 1030, 1031, 1033, 1034, 1036, 1037, 1038, 1039, 1044, 1045, 1074, 1075, 1100, 1103, 1118, 1292, 1297, 1309, 1310, 1311, 1316, 1347, 1348, 1349, 1351, 1352, 1353, 1355, 1356, 1357, 1358, 1363, 1364, 1380, 1381, 1401, 1405, 1433], "especi": [5, 8, 19, 20, 22, 26, 27, 28, 139, 281, 440, 537, 918, 1088], "esposito": [20, 1336, 1337, 1340], "essenti": [22, 26, 115, 1215], "est_eig": 163, "establish": [19, 22, 25, 380, 381, 382, 388, 487, 805, 810, 989, 1326, 1370], "estat": 1, "estim": [19, 20, 24, 28, 129, 150, 163, 287, 334, 348, 377, 383, 464, 465, 466, 468, 469, 471, 472, 473, 474, 479, 480, 513, 514, 534, 536, 537, 559, 652, 665, 666, 667, 668, 673, 674, 731, 732, 733, 734, 739, 740, 762, 791, 802, 806, 834, 835, 836, 838, 839, 841, 842, 843, 844, 849, 850, 905, 906, 944, 974, 986, 990, 1029, 1030, 1031, 1033, 1034, 1036, 1037, 1038, 1039, 1044, 1045, 1074, 1075, 1118, 1297, 1316, 1347, 1348, 1349, 1351, 1352, 1353, 1355, 1356, 1357, 1358, 1363, 1364, 1380, 1381, 1394, 1396, 1433, 1451], "et": [18, 19, 20, 22, 25, 27, 28, 150, 171, 174, 179, 301, 305, 306, 310, 312, 313, 314, 322, 325, 326, 327, 337, 338, 339, 340, 341, 347, 348, 349, 350, 351, 369, 426, 439, 442, 444, 448, 458, 459, 496, 499, 501, 508, 557, 575, 576, 577, 773, 782, 783, 857, 872, 957, 964, 966, 967, 1010, 1104, 1193, 1308, 1336, 1337, 1340, 1343, 1344, 1346, 1373, 1378, 1407, 1408, 1420], "eta": [7, 10, 14, 26, 76, 144, 179], "eta_1": [1292, 1309], "eta_2": [1292, 1309], "etc": [4, 10, 18, 19, 22, 27, 856, 887], "etna": [1343, 1346, 1407, 1420], "etyp": [353, 795, 978, 1310], "euclidean": 27, "europ": 1, "european": 1, "eval": [550, 936, 1110, 1424], "evalu": [18, 19, 24, 25, 226, 235, 236, 510, 539, 595, 596, 597, 598, 609, 621, 623, 624, 630, 633, 634, 690, 729, 753, 772, 798, 807, 809, 833, 912, 914, 927, 1096, 1265, 1397, 1454], "evec": [19, 552, 938, 1112], "even": [0, 10, 17, 19, 22, 25, 26, 28, 119, 191, 200, 442, 446, 869, 1051, 1070, 1107, 1419], "event": [17, 20, 29, 31], "eventu": 19, "ever": 19, "everi": [0, 25, 26, 27, 81, 85, 272, 291, 362, 368, 412, 419, 441, 480, 503, 517, 522, 674, 740, 850, 856, 887, 913, 1045, 1068, 1082, 1364, 1387], "everyth": [62, 84, 192, 222, 359, 405, 599, 606, 647, 662, 716, 728, 797, 828, 981, 1009, 1146, 1152, 1206, 1224, 1312, 1333], "evsl": [19, 27, 299, 336, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 507, 521, 540, 543, 549, 554], "ex1": [5, 7, 19, 22, 299, 329, 335, 336, 375, 379, 380, 387, 399, 403, 521, 525, 527, 543, 549], "ex10": [20, 395, 541, 1212, 1272, 1273, 1274, 1275, 1276, 1277], "ex11": [13, 332, 353, 379, 403, 517, 541, 549], "ex12": [299, 335, 336, 379, 385, 395, 430, 431, 521, 523, 525, 527, 539, 541, 543, 1179, 1265], "ex14": [10, 1287, 1295, 1298, 1307, 1310, 1318, 1320, 1327, 1328, 1329, 1331, 1385, 1388, 1401, 1402, 1423], "ex15": [1287, 1292, 1298, 1307, 1314, 1318, 1320, 1326, 1329, 1331, 1385, 1388, 1390, 1397, 1401, 1423], "ex15f": [1287, 1292, 1298, 1307, 1314, 1318, 1320, 1326, 1329, 1331, 1385, 1388, 1390, 1397, 1401, 1423], "ex16": [14, 26, 34, 77, 953, 969, 975, 976, 978, 982, 984, 988, 989, 1081, 1084, 1086, 1100, 1456, 1462], "ex16f": [953, 972, 975, 976, 978, 988, 1007, 1081, 1084, 1086, 1100, 1109, 1456, 1462], "ex17": [953, 972, 975, 976, 978, 988, 993, 1005, 1081, 1084, 1100, 1456, 1462], "ex18": [299, 332, 335, 336, 353, 379, 403, 519, 521, 525, 527, 543, 549, 1469], "ex19": [329, 375, 380, 387, 399, 522, 535, 540], "ex1f": [7, 20, 22], "ex2": [27, 299, 332, 335, 336, 353, 379, 396, 398, 403, 521, 525, 527, 543, 544, 549], "ex20": [5, 766, 784, 792, 793, 800, 804, 805, 808, 822, 825, 909, 911, 912, 913, 914, 924, 931, 935], "ex20f": [766, 784, 792, 793, 800, 804, 805, 808, 822, 825, 909, 911, 912, 913, 914, 924, 931, 935], "ex21": [25, 766, 789, 792, 793, 795, 804, 880, 887, 911, 912, 914, 927, 931], "ex22": [25, 585, 591, 592, 616, 624, 625, 766, 789, 792, 793, 795, 804, 887, 909, 911, 919, 924, 931], "ex22f": [585, 591, 592, 616, 624, 625, 766, 789, 792, 793, 795, 804, 825, 887, 909, 911, 916, 919, 924, 931, 935], "ex23": [585, 624, 625, 707, 710, 713, 714, 718, 719, 721, 722, 726, 749, 750, 752, 755, 1456, 1462], "ex23f": [585, 624, 625, 707, 710, 713, 714, 718, 719, 721, 722, 726, 749, 750, 752, 755, 1456, 1462], "ex24": [27, 299, 335, 336, 375, 380, 395, 399, 403, 521, 525, 527, 541, 543, 549, 1179, 1209, 1241, 1260, 1265], "ex25": [27, 379, 385, 395, 430, 431, 440, 523, 539, 540, 541, 1179, 1265], "ex26": [585, 625, 707, 713, 714, 721, 726, 747, 749, 750, 755], "ex27": [585, 591, 592, 616, 625, 766, 789, 792, 793, 795, 804, 814, 825, 872, 911, 912, 914, 919, 923, 927, 931, 935, 1134, 1154, 1172], "ex27f": [585, 591, 592, 616, 625, 766, 789, 792, 793, 795, 804, 814, 825, 872, 911, 912, 914, 919, 923, 927, 931, 935, 1134, 1154, 1172], "ex28": [953, 972, 975, 976, 978, 988, 1001, 1007, 1081, 1084, 1100, 1109, 1179, 1256, 1456, 1462], "ex29": [299, 331, 332, 335, 336, 353, 375, 376, 521, 525, 527, 532, 543, 545], "ex3": [11, 332, 353, 379, 403, 549], "ex30": [332, 353, 394, 518, 532, 533, 535, 541, 545, 1134, 1154, 1168, 1172], "ex31": [329, 375, 380, 387], "ex32": [636, 639, 640, 643, 646, 650, 651, 652, 654, 659, 660, 681, 684, 686, 687, 688, 689, 692], "ex33": [1458, 1459], "ex34": [375, 379, 380, 395, 399, 403, 489, 490, 493, 494, 497, 522, 539, 549, 1179, 1260], "ex35": [395, 533, 541, 1265, 1272, 1273, 1277], "ex36": [603, 624, 707, 713, 714, 721, 749, 750, 755, 1265, 1272, 1273, 1276, 1277], "ex37": [585, 624, 625, 707, 710, 713, 714, 718, 719, 721, 722, 726, 749, 750, 755], "ex38": [953, 972, 975, 976, 978, 988, 992, 1001, 1007, 1063, 1067, 1081, 1083, 1084, 1086, 1096, 1097, 1098, 1100, 1109, 1179, 1209, 1265, 1456, 1462], "ex39": [585, 587, 589, 591, 592, 611, 616, 624, 625, 707, 713, 714, 721, 747, 749, 750, 755, 1456, 1462], "ex4": [12, 387, 399], "ex40": [34, 49, 953, 968, 972, 975, 976, 978, 982, 984, 989, 992, 996, 998, 1001, 1004, 1047, 1064, 1069, 1081, 1083, 1084, 1086, 1093, 1096, 1100, 1179, 1209, 1211, 1456, 1462], "ex41": [299, 335, 336, 375, 380, 388, 402, 403, 521, 522, 524, 525, 527, 538, 543, 549, 1453, 1473], "ex42": [585, 591, 592, 615, 616, 625, 766, 769, 772, 792, 793, 800, 805, 810, 814, 822, 867, 909, 911, 916, 919, 923, 926, 927, 931, 1134, 1154, 1172], "ex43": [395, 518, 533, 1209, 1215, 1265], "ex44": [379, 403, 541, 549], "ex45": [1287, 1292, 1298, 1307, 1314, 1318, 1320, 1326, 1329, 1331, 1385, 1388, 1390, 1401, 1423, 1474], "ex46": [299, 332, 335, 336, 353, 395, 521, 525, 527, 533, 541, 543, 1179, 1260, 1265], "ex47": [34, 141, 373, 375, 382, 399, 535, 540, 1474], "ex48": [1287, 1295, 1298, 1307, 1310, 1385, 1388, 1390, 1401], "ex49": [395, 533, 1262, 1265], "ex5": [8, 19, 27, 299, 332, 335, 336, 353, 379, 396, 398, 403, 521, 522, 525, 527, 543, 544, 549], "ex50": [953, 972, 975, 976, 978, 1001, 1081, 1084, 1086, 1093, 1098, 1100, 1179, 1262, 1265, 1456, 1462], "ex51": [1287, 1295, 1298, 1307, 1310, 1384, 1385, 1388, 1390, 1397, 1401, 1411, 1416, 1422], "ex52": [1287, 1295, 1298, 1307, 1310, 1314, 1318, 1326, 1329, 1335, 1385, 1388, 1390, 1391, 1401, 1474], "ex53": [1287, 1295, 1298, 1307, 1310, 1314, 1318, 1326, 1329, 1385, 1388, 1390, 1391, 1401, 1474], "ex54f": [766, 789, 792, 793, 795, 800, 909, 911, 912, 914, 923, 931], "ex55": [332, 353, 375, 382, 388, 1447, 1473], "ex56": [299, 332, 335, 336, 353, 521, 525, 527, 543, 1448], "ex57": [519, 567, 1448], "ex6f": [387, 399], "ex7": [5, 9, 375, 382, 387, 395, 399, 407, 517, 522, 1179, 1209], "ex8": [1287, 1298, 1307, 1314, 1326, 1384, 1385, 1388, 1399, 1401], "ex9": [19, 541], "exact": [8, 19, 26, 27, 28, 244, 1489], "exactli": [7, 22, 26, 119, 281, 1284], "examin": [6, 7, 10, 19, 22, 27, 33], "exampl": [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 24, 25, 26, 27, 28, 33, 136, 515, 526, 529, 530, 584, 680, 685, 706, 745, 748, 751, 765, 782, 904, 907, 915, 917, 952, 1072, 1076, 1085, 1087, 1089, 1133, 1143, 1151, 1157, 1163, 1261, 1379, 1382, 1389, 1446, 1482, 1489], "exce": [28, 1422], "exceed": [331, 562, 710, 788, 947, 971, 1121, 1294, 1436], "except": [19, 20, 22, 26, 27, 28, 97, 98, 104, 132, 140, 145, 147, 149, 150, 225, 639, 1167, 1482], "exclud": [23, 42, 91, 93, 95], "exclus": 1090, "execut": [5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 19, 20, 22, 33, 353, 540, 543, 550, 691, 754, 755, 795, 928, 931, 936, 978, 1097, 1100, 1110, 1310, 1398, 1401, 1424], "exemplari": 17, "exep": 0, "exercis": [0, 5, 16, 21], "exhaust": 19, "exist": [10, 13, 19, 20, 21, 22, 27, 28, 60, 61, 191, 446, 1479], "exit": [89, 90, 115, 287, 1432], "exp": [5, 18, 24, 25, 594, 595, 596, 626, 627, 715, 1469], "expand": [19, 25, 27, 369, 370, 422, 852], "expans": [0, 16, 19, 24, 27, 363, 369], "expect": [7, 19, 20, 26, 31, 310, 1373, 1447, 1448], "expens": [7, 19, 26, 28, 536, 537, 867, 891, 925, 1055, 1066, 1095, 1396], "expep": 0, "experi": [4, 7, 19, 22, 29, 1489], "experienc": [19, 21], "experiment": [19, 23], "expert": 21, "explain": [5, 8, 19, 20, 22, 23, 25, 26, 27, 28], "explan": [10, 27, 28, 340, 341, 1465], "explicit": [0, 2, 10, 14, 15, 19, 20, 22, 23, 26, 28, 272, 293, 300, 447, 686, 756, 857, 858, 866, 918, 1088, 1302, 1306, 1343, 1416], "explicitli": [8, 10, 11, 19, 20, 22, 25, 26, 27, 28, 401, 516, 517, 522, 537, 540, 691, 754, 769, 770, 771, 786, 867, 872, 891, 908, 913, 925, 928, 1024, 1027, 1055, 1077, 1082, 1095, 1097, 1215, 1231, 1256, 1283, 1284, 1285, 1300, 1302, 1304, 1306, 1383, 1386, 1387, 1398, 1409, 1416, 1449], "explicitmat": [1024, 1027, 1300, 1302, 1304, 1306, 1409, 1416], "exploit": [19, 26, 27, 28, 98, 194, 527, 565, 597, 891, 916, 1055, 1059, 1086, 1128, 1488], "explor": 1484, "explos": 22, "explot": 90, "expokit": [24, 715, 754, 755, 757], "exponenti": [0, 18, 24, 25, 594, 635, 715, 765, 883], "export": [22, 33], "expos": [196, 1489], "express": [8, 9, 17, 18, 23, 27, 31, 193, 194, 195, 196, 216, 217, 226, 243, 246, 261, 446, 510, 644, 920, 1028, 1069, 1073, 1084, 1137, 1167, 1188, 1215, 1262, 1302, 1454, 1469], "exsvd": 0, "ext": [204, 267], "extend": [21, 23, 26, 27, 273, 884, 900], "extens": [0, 20, 21, 22, 26, 28, 30], "extent": [19, 26], "extern": [0, 5, 7, 18, 19, 21, 22, 23, 27, 28, 33, 299, 301, 306, 307, 308, 310, 311, 312, 336, 337, 338, 339, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 356, 357, 358, 440, 483, 484, 485, 487, 488, 507, 508, 518, 521, 540, 543, 554, 1067, 1287, 1307, 1308, 1336, 1338, 1339, 1341, 1342, 1366, 1367, 1368, 1370, 1371, 1377, 1378, 1385, 1398, 1401, 1428, 1460], "extr": [19, 384, 520], "extra": [186, 188, 204, 217, 225, 226, 236, 237, 246, 261, 267, 284, 286, 302, 637, 708, 767, 875, 954, 1288], "extract": [8, 13, 14, 24, 25, 27, 28, 81, 207, 282, 314, 315, 323, 355, 384, 425, 520, 568, 569, 570, 571, 578, 579, 580, 748, 774, 775, 780, 958, 959, 964, 980, 991, 1080, 1123, 1124, 1125, 1126, 1286, 1489], "extrem": [5, 8, 19, 20, 21, 27, 32, 1282], "f": [0, 1, 12, 18, 19, 21, 22, 25, 26, 28, 150, 196, 426, 439, 557, 594, 595, 596, 597, 598, 605, 607, 612, 615, 616, 619, 624, 625, 707, 729, 755, 756, 765, 807, 817, 912, 919, 1407, 1408, 1420, 1484, 1488], "f1": [9, 18, 25, 588, 589], "f2": [9, 18, 25, 588, 589], "f2cblaslapack": [20, 22], "f3": 25, "f90": [7, 20, 387, 399, 585, 591, 592, 616, 624, 625, 707, 710, 713, 714, 718, 719, 721, 722, 726, 749, 750, 752, 755, 766, 784, 789, 792, 793, 795, 800, 804, 805, 808, 814, 822, 825, 872, 887, 909, 911, 912, 913, 914, 916, 919, 923, 924, 927, 931, 935, 953, 972, 975, 976, 978, 988, 1007, 1081, 1084, 1086, 1100, 1109, 1134, 1154, 1172, 1287, 1292, 1298, 1307, 1314, 1318, 1320, 1326, 1329, 1331, 1385, 1388, 1390, 1397, 1401, 1423, 1456, 1462], "f_": 25, "f_1": 18, "f_2": 18, "f_i": [25, 226, 236, 237, 794, 874, 875, 916, 919, 920], "f_j": 787, "f_k": 931, "fact": [11, 19, 22, 26, 28, 1086, 1282], "factor": [5, 8, 14, 18, 23, 25, 26, 27, 28, 89, 90, 112, 115, 130, 132, 133, 159, 161, 162, 173, 174, 175, 179, 181, 244, 282, 284, 428, 440, 576, 577, 595, 596, 597, 624, 644, 688, 1002, 1061, 1067, 1090, 1137, 1149, 1160, 1161, 1171, 1192, 1251, 1261, 1309, 1422, 1449], "fahei": 150, "faibussowitsch": 22, "fail": [5, 8, 20, 25, 27, 79, 89, 90, 104, 171, 332, 387, 543, 641, 654, 683, 711, 722, 747, 788, 789, 808, 931, 948, 972, 993, 1100, 1215, 1295, 1320, 1401], "failur": [387, 654, 722, 808, 993, 1320], "fake": 27, "fals": [116, 117, 118, 1136, 1480], "famili": [22, 26], "familiar": [0, 5, 19, 21, 22], "fan12": [27, 1282], "fang": [1, 27, 1282], "faq": 5, "far": [0, 8, 464, 465, 468, 469, 471, 472, 834, 835, 838, 839, 841, 842, 1029, 1030, 1033, 1034, 1036, 1037, 1347, 1348, 1351, 1352, 1353, 1355, 1356], "fashion": 25, "fast": [20, 21, 28, 1373, 1489], "faster": [19, 27, 522, 913, 1082, 1346, 1387, 1420], "fastest": 28, "fat": 28, "favor": [27, 28], "fc": 22, "fe": 1489, "feasibl": 26, "feast": [19, 299, 336, 356, 357, 358, 507, 521, 540, 543, 549, 554], "featur": [3, 5, 6, 7, 10, 15, 19, 22, 31, 425, 440, 448, 1067, 1344, 1484], "feb": 31, "februari": 29, "fed": 19, "fee": [3, 31], "feed": [5, 31], "feel": 1489, "fehsk": 1193, "fejer": 1193, "fem": 1489, "femffus": 1489, "femu": 1489, "femwel": 1489, "fenic": 1489, "ferretti": 19, "fetch": [68, 126, 259, 260], "few": [0, 9, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 456], "fewer": 159, "ff": 1489, "fiedler": [13, 19], "field": [20, 350, 1203], "figur": [18, 19, 20, 22, 27, 28, 1143, 1151, 1157, 1163], "file": [2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 19, 20, 22, 31, 33, 166, 288, 353, 543, 550, 552, 554, 627, 692, 694, 755, 758, 795, 931, 936, 938, 940, 978, 1100, 1110, 1112, 1114, 1174, 1279, 1282, 1310, 1401, 1424, 1426, 1428, 1462, 1465, 1482, 1490], "filenam": 6, "fill": [14, 135, 226, 237, 1451, 1481], "filter": [1, 20, 25, 26, 311, 312, 339, 350, 425, 523, 1179, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1245, 1254, 1278, 1279, 1281, 1282, 1467], "filtlan": [1, 1205, 1282], "final": [0, 7, 8, 10, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 56, 221, 278, 475, 534, 624, 669, 735, 845, 875, 1040, 1359, 1394], "finclud": 20, "find": [0, 6, 7, 8, 12, 13, 19, 20, 21, 27, 28, 487, 1370, 1373], "finish": [5, 19, 24, 26, 27, 295, 375, 386, 547, 800, 934, 984, 1103, 1240, 1276, 1284, 1314, 1405], "finit": [7, 20, 22, 26, 27, 1463], "firedrak": 1489, "first": [0, 5, 7, 10, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 35, 38, 39, 52, 56, 57, 64, 65, 66, 84, 87, 89, 90, 99, 100, 101, 102, 103, 111, 119, 129, 135, 143, 158, 163, 166, 187, 188, 193, 194, 195, 196, 198, 222, 225, 244, 246, 271, 272, 278, 284, 287, 288, 293, 303, 370, 386, 389, 405, 421, 422, 445, 471, 472, 473, 480, 492, 497, 526, 532, 536, 543, 546, 554, 586, 588, 589, 598, 606, 609, 615, 616, 622, 623, 624, 627, 630, 631, 634, 638, 649, 655, 662, 681, 685, 694, 709, 723, 728, 751, 758, 768, 811, 828, 841, 842, 843, 850, 856, 887, 915, 919, 922, 925, 940, 955, 968, 994, 1009, 1017, 1025, 1028, 1036, 1037, 1038, 1045, 1064, 1069, 1085, 1092, 1095, 1114, 1123, 1124, 1135, 1152, 1170, 1174, 1180, 1224, 1256, 1257, 1259, 1279, 1286, 1289, 1321, 1333, 1355, 1356, 1357, 1364, 1389, 1393, 1396, 1401, 1404, 1428, 1449, 1453, 1468, 1470, 1471, 1481, 1488], "firstev": 546, "firstsv": 1404, "fit": [17, 21, 25, 149], "five": [0, 27], "fix": [1, 19, 22, 23, 28, 31, 414, 421, 534, 1010, 1011, 1017, 1021, 1394, 1432], "fl": 29, "flag": [14, 19, 25, 26, 56, 73, 87, 89, 90, 98, 116, 117, 118, 119, 122, 141, 156, 163, 202, 204, 211, 219, 221, 224, 265, 267, 273, 282, 284, 304, 305, 321, 328, 363, 365, 369, 370, 371, 388, 393, 400, 401, 402, 413, 416, 420, 422, 423, 428, 432, 440, 442, 446, 451, 454, 489, 492, 493, 494, 495, 497, 498, 528, 538, 597, 653, 696, 720, 760, 782, 810, 816, 818, 823, 824, 859, 862, 867, 869, 877, 879, 883, 885, 919, 920, 926, 968, 1006, 1015, 1021, 1024, 1027, 1049, 1051, 1060, 1061, 1065, 1066, 1067, 1070, 1105, 1107, 1138, 1147, 1168, 1210, 1219, 1221, 1222, 1241, 1242, 1256, 1257, 1262, 1263, 1264, 1288, 1300, 1304, 1330, 1345, 1346, 1386, 1409, 1412, 1413, 1416, 1419, 1420, 1480], "flat": 1136, "fld": 27, "flexibl": [0, 19, 22, 26, 539, 690, 753, 927, 1096, 1265, 1397, 1488], "flg": [18, 20, 26, 224, 683, 747, 1147, 1168, 1221, 1222, 1263, 1264], "flinker": 22, "float": [20, 22, 26], "flop": [8, 20], "flow": 27, "fluid": [27, 1489], "fn": [0, 20, 24, 25, 228, 237, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 721, 748, 755, 756, 817, 919, 1483, 1484, 1486], "fn_combin": 585, "fn_combine_add": [590, 630, 631, 632, 635, 1486], "fn_combine_compos": [590, 629, 631, 632, 635, 1486], "fn_combine_divid": [590, 629, 630, 632, 635, 1486], "fn_combine_multipli": [590, 629, 630, 631, 635, 1486], "fn_method": 621, "fn_parallel": 623, "fn_parallel_redund": [609, 634, 635, 1486], "fn_parallel_synchron": [609, 633, 635, 1486], "fn_phi": 585, "fn_ration": 585, "fn_type": 625, "fnappendoptionsprefix": [601, 622, 635, 1486], "fnbasic": [586, 591, 592, 593, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 606, 617, 620, 621, 622, 623, 624, 625, 627, 628], "fncombin": [18, 585, 588, 589, 592, 593, 595, 596, 597, 598, 626, 627, 629, 630, 631, 632, 635, 1486], "fncombinegetchildren": [589, 635, 1486], "fncombinegetchildren_combin": 588, "fncombinesetchildren": [18, 587, 588, 590, 629, 630, 631, 632, 635, 1486], "fncombinesetchildren_combin": 589, "fncombinetyp": [18, 588, 589, 629, 630, 631, 632, 635, 1486], "fncreat": [18, 25, 585, 592, 593, 606, 627, 628, 635, 1486], "fndestroi": [591, 635, 1486], "fndestroy_combin": 592, "fndestroy_phi": 592, "fndestroy_r": 592, "fnduplic": [635, 1486], "fnduplicate_combin": 593, "fnduplicate_phi": 593, "fnduplicate_r": 593, "fnevaluatederiv": [18, 596, 635, 1486], "fnevaluatederivative_combin": 595, "fnevaluatederivative_exp": 595, "fnevaluatederivative_invsqrt": 595, "fnevaluatederivative_log": 595, "fnevaluatederivative_phi": 595, "fnevaluatederivative_r": 595, "fnevaluatederivative_sqrt": 595, "fnevaluatefunct": [18, 595, 597, 598, 624, 635, 1486], "fnevaluatefunction_combin": 596, "fnevaluatefunction_exp": 596, "fnevaluatefunction_invsqrt": 596, "fnevaluatefunction_log": 596, "fnevaluatefunction_phi": 596, "fnevaluatefunction_r": 596, "fnevaluatefunction_sqrt": 596, "fnevaluatefunctionmat": [18, 596, 598, 621, 623, 634, 635, 1486], "fnevaluatefunctionmat_combin": 597, "fnevaluatefunctionmat_r": 597, "fnevaluatefunctionmatvec": [597, 623, 634, 635, 1486], "fnevaluatefunctionmatvec_combin": 598, "fnevaluatefunctionmatvec_phi": 598, "fnevaluatefunctionmatvec_r": 598, "fnexp": [18, 24, 25, 595, 596, 626, 627, 635, 1486], "fnfinalizepackag": [606, 635, 1486], "fngetmethod": [621, 635, 1486], "fngetoptionsprefix": [635, 1486], "fngetparallel": [623, 635, 1486], "fngetscal": [624, 635, 1486], "fngettyp": [625, 635, 1486], "fnimpl": 585, "fninitializepackag": [599, 635, 1486], "fninvsqrt": [18, 595, 596, 626, 627, 635, 1486], "fnlog": [18, 595, 596, 626, 627, 635, 1486], "fnparalleltyp": [602, 623, 633, 634, 635, 1486], "fnphi": [18, 585, 592, 593, 595, 596, 598, 610, 611, 620, 626, 627, 635, 1486], "fnphigetindex": [611, 635, 1486], "fnphigetindex_phi": 610, "fnphisetindex": [18, 608, 610, 635, 1486], "fnphisetindex_phi": 611, "fnration": [18, 25, 585, 592, 593, 595, 596, 597, 598, 613, 614, 615, 616, 620, 625, 626, 627, 635, 1486], "fnrationalgetdenomin": [615, 635, 1486], "fnrationalgetdenominator_r": 613, "fnrationalgetnumer": [616, 635, 1486], "fnrationalgetnumerator_r": 614, "fnrationalsetdenomin": [18, 612, 613, 616, 635, 1486], "fnrationalsetdenominator_r": 615, "fnrationalsetnumer": [18, 25, 612, 614, 615, 635, 1486], "fnrationalsetnumerator_r": 616, "fnregi": 618, "fnregist": [618, 635, 1486], "fnregisteral": [617, 635, 1486], "fnsetfromopt": [635, 1486], "fnsetfromoptions_phi": 620, "fnsetfromoptions_r": 620, "fnsetmethod": [597, 598, 600, 635, 1486], "fnsetoptionsprefix": [586, 601, 620, 635, 1486], "fnsetparallel": [602, 609, 633, 634, 635, 1486], "fnsetscal": [18, 24, 25, 595, 596, 603, 635, 1486], "fnsettyp": [18, 24, 25, 587, 594, 604, 605, 607, 608, 612, 619, 626, 635, 1486], "fnsqrt": [18, 595, 596, 626, 627, 635, 1486], "fntype": [18, 587, 594, 604, 605, 607, 608, 612, 619, 625, 635, 1486], "fnview": [628, 635, 940, 1486], "fnview_combin": 627, "fnview_exp": 627, "fnview_invsqrt": 627, "fnview_log": 627, "fnview_phi": 627, "fnview_rat": 627, "fnview_sqrt": 627, "fnviewfromopt": [627, 635, 1486], "focu": [14, 21, 24, 25], "focus": [19, 22, 26, 27], "fokkema": 1010, "fold": 20, "follow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 61, 89, 90, 119, 156, 199, 552, 769, 770, 771, 857, 938, 1143, 1151, 1157, 1163, 1326, 1426, 1488], "followng": 5, "footnot": [19, 20, 26, 27, 28], "foral": 386, "forc": [19, 27, 28, 455, 1215, 1380], "forg": 32, "form": [0, 4, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 30, 48, 141, 157, 194, 195, 216, 217, 226, 243, 244, 261, 265, 275, 277, 278, 279, 280, 284, 287, 294, 295, 584, 644, 645, 681, 687, 688, 769, 770, 771, 782, 816, 817, 852, 874, 885, 916, 919, 920, 931, 1104, 1130, 1208, 1262, 1286, 1306, 1408, 1447, 1448], "formal": 31, "format": [0, 2, 7, 9, 19, 20, 22, 23, 24, 28, 120, 166, 194, 196, 216, 217, 261, 288, 290, 310, 332, 337, 353, 464, 465, 466, 468, 469, 470, 471, 472, 473, 475, 477, 627, 641, 665, 666, 667, 669, 671, 711, 731, 732, 733, 735, 737, 789, 795, 834, 835, 836, 838, 839, 840, 841, 842, 843, 845, 847, 870, 972, 978, 1029, 1030, 1031, 1033, 1034, 1035, 1036, 1037, 1038, 1040, 1042, 1174, 1279, 1295, 1308, 1310, 1347, 1348, 1349, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1359, 1361], "formfunct": [25, 494], "formjacobian": [25, 494], "formul": [0, 14, 19, 20, 22, 25, 26, 28, 557, 564, 565, 566, 567, 572, 573, 574, 1290, 1291, 1438, 1439, 1442], "formula": [19, 32, 156], "fortran": [0, 3, 7, 16, 21, 22, 30, 212, 274, 509, 1463, 1482], "fortran0": 0, "forum": 22, "found": [8, 10, 12, 16, 19, 20, 22, 26, 27, 28, 31, 158, 287, 305, 313, 367, 368, 369, 370, 372, 418, 419, 420, 421, 422, 424, 435, 439, 442, 444, 458, 459, 496, 499, 557, 568, 575, 576, 577, 773, 852, 876, 895, 957, 1017, 1018, 1019, 1104, 1482], "foundat": 22, "four": [8, 12, 18, 681, 1151, 1154, 1156, 1449, 1484], "fourth": [649, 681], "frac": [18, 19, 24, 25, 26, 28, 576, 605, 608, 611, 1225], "fraction": 1167, "fragment": 12, "framework": [20, 337, 1308, 1336, 1337, 1340, 1489], "free": [11, 16, 19, 20, 22, 24, 25, 27, 28, 29, 31, 136, 480, 515, 529, 530, 674, 680, 740, 745, 748, 850, 904, 907, 917, 1045, 1072, 1076, 1087, 1089, 1364, 1379, 1382, 1489], "freed": [6, 247, 430, 438, 613, 614, 1063, 1158], "freefem": 1489, "freeli": 6, "frequent": [2, 3, 16, 22], "from": [0, 1, 3, 4, 6, 7, 8, 9, 10, 12, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 30, 32, 33, 42, 43, 46, 52, 62, 64, 76, 78, 81, 82, 84, 85, 89, 90, 91, 93, 95, 98, 99, 100, 101, 111, 115, 123, 124, 135, 138, 139, 158, 166, 186, 192, 207, 215, 222, 244, 245, 252, 268, 272, 283, 284, 288, 292, 314, 338, 359, 366, 372, 375, 392, 403, 405, 417, 424, 430, 438, 494, 508, 517, 521, 522, 539, 540, 580, 597, 599, 604, 606, 620, 623, 627, 633, 647, 657, 661, 662, 684, 690, 691, 716, 727, 728, 749, 753, 754, 797, 800, 813, 825, 828, 857, 911, 913, 920, 927, 928, 931, 980, 981, 983, 984, 998, 1007, 1009, 1021, 1063, 1080, 1081, 1082, 1096, 1097, 1100, 1123, 1124, 1133, 1146, 1150, 1152, 1169, 1174, 1206, 1215, 1223, 1224, 1254, 1256, 1262, 1265, 1277, 1279, 1282, 1286, 1309, 1312, 1314, 1324, 1331, 1333, 1336, 1373, 1378, 1385, 1387, 1397, 1398, 1448, 1449, 1452, 1453, 1459, 1463, 1464, 1465, 1467, 1478, 1488], "front": 8, "fukaya": 171, "full": [0, 6, 7, 8, 10, 14, 16, 18, 19, 22, 23, 28, 33, 90, 337, 338, 425, 448, 458, 508, 859, 867, 891, 1055, 1308, 1336, 1344, 1378, 1489], "fullb": [858, 866], "fullbasi": [859, 867], "fulli": [0, 18, 857], "fun": [25, 227, 236, 807, 865, 872, 912], "fun1_": [685, 751], "fun2_": [685, 751], "func": [510, 514, 519, 532], "function": [3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 26, 27, 28, 30, 36, 37, 38, 39, 45, 62, 68, 79, 81, 84, 85, 101, 116, 117, 118, 119, 120, 126, 129, 137, 142, 149, 150, 158, 159, 163, 192, 200, 203, 206, 207, 222, 226, 227, 228, 231, 235, 236, 237, 249, 254, 259, 260, 266, 275, 281, 282, 283, 287, 298, 330, 334, 347, 353, 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[957, 964], "induc": 574, "industri": [18, 19, 20, 27, 28, 301, 448, 508, 1344, 1378], "ineffect": 19, "ineffici": [27, 1386], "inertia": [26, 27, 425, 430, 1059, 1063, 1488], "inexact": [8, 11, 13, 1239], "inexpens": 19, "inf": [523, 1083], "infinit": [26, 27, 28, 523, 1083, 1138, 1156], "info": [6, 20, 32, 134], "inform": [2, 4, 6, 7, 8, 10, 11, 12, 14, 19, 21, 22, 26, 27, 28, 31, 32, 33, 135, 158, 159, 287, 367, 368, 370, 372, 418, 419, 420, 421, 422, 424, 430, 435, 543, 546, 692, 755, 919, 920, 931, 968, 1017, 1018, 1019, 1063, 1090, 1100, 1262, 1351, 1401, 1404, 1458, 1459, 1467, 1488, 1489], "infrasound": 1489, "infrastructur": [0, 22, 1489], "infti": [18, 26, 28, 188, 1154], "inherit": [20, 22], "init": 5, "initi": [6, 14, 22, 26, 27, 79, 84, 89, 90, 222, 256, 275, 280, 296, 311, 312, 313, 364, 370, 405, 415, 422, 430, 507, 522, 524, 606, 662, 679, 728, 744, 773, 828, 875, 894, 913, 957, 1009, 1058, 1063, 1082, 1152, 1224, 1245, 1333, 1377, 1387, 1462, 1463, 1466, 1470, 1471, 1477], "initials": [364, 370, 415, 422], "inject": [27, 1225], "inlin": 1452, "inner": [27, 36, 37, 52, 57, 60, 69, 73, 98, 104, 105, 108, 111, 115, 116, 117, 118, 137, 141, 252, 318, 325, 565, 574, 603, 624, 777, 781, 788, 882, 888, 948, 961, 965, 1215, 1473, 1474], "inno4scal": 1, "innov": [1, 20], "innovacion": 1, "inplac": [27, 1256, 1286], "input": [5, 6, 7, 22, 28, 195, 243, 456, 873, 1268, 1269, 1270, 1373], "insensit": 1460, "insert": [85, 86, 87], "insert_valu": [20, 22], "insid": [8, 18, 19, 25, 27, 28, 163, 226, 278, 279, 313, 339, 772, 773, 875, 957, 1137, 1171, 1198, 1467], "inspir": 20, "instabl": [26, 563, 1122, 1437], "instal": [0, 3, 6, 7, 16, 20, 21, 27, 31], "instanc": [5, 6, 7, 8, 10, 11, 12, 13, 14, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 31, 33, 189, 224, 353, 510, 517, 543, 550, 552, 692, 710, 718, 755, 761, 795, 931, 936, 938, 978, 1100, 1110, 1112, 1161, 1181, 1182, 1183, 1184, 1193, 1215, 1310, 1401, 1424, 1426], "instanti": [18, 22], "instead": [5, 6, 8, 19, 20, 25, 26, 27, 28, 45, 103, 142, 196, 277, 279, 301, 369, 448, 545, 548, 681, 748, 920, 933, 1102, 1215, 1285, 1344, 1403, 1406], "institut": [31, 1488], "instruct": [5, 19, 22, 27, 28, 32, 527, 1086], "int": [6, 22, 27, 1462, 1465], "inta": [385, 523, 992, 1083, 1196, 1202], "intb": [385, 523, 992, 1083, 1196, 1202], "integ": [6, 18, 22, 326, 347, 782, 931, 966, 1100, 1468], "integr": [0, 16, 19, 20, 22, 24, 25, 26, 27, 31, 33, 40, 56, 129, 150, 156, 163, 226, 229, 234, 238, 239, 240, 241, 242, 272, 291, 313, 314, 316, 319, 322, 323, 325, 326, 327, 357, 358, 773, 776, 778, 782, 783, 858, 866, 957, 960, 962, 964, 966, 967, 1136, 1140, 1176, 1177, 1282, 1489], "intel": [20, 356], "intend": [3, 5, 15, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 50, 81, 85, 130, 157, 182, 189, 214, 244, 282, 283, 339, 449, 510, 541, 929, 952, 968, 1098, 1161, 1185, 1235, 1239, 1240, 1263, 1264, 1446, 1450, 1473, 1479, 1482, 1484], "intent": [23, 884, 900], "inter": [11, 22], "interact": [0, 2, 1489], 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1447, 1448], "proport": [444, 455, 871, 1020, 1052, 1108, 1421], "proportion": 443, "propos": [23, 24, 26, 27, 179, 313, 425, 426, 577, 729, 773, 876, 895, 957, 968], "prototyp": [22, 235, 334, 474, 477, 478, 479, 547, 668, 671, 672, 673, 734, 737, 738, 739, 791, 798, 833, 844, 847, 848, 849, 873, 934, 974, 1039, 1042, 1043, 1044, 1103, 1268, 1269, 1270, 1271, 1297, 1358, 1361, 1362, 1363, 1405, 1454, 1455], "provid": [0, 2, 3, 5, 6, 7, 8, 10, 11, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 99, 114, 167, 172, 184, 198, 214, 220, 227, 236, 247, 249, 263, 265, 278, 279, 289, 298, 305, 309, 330, 370, 380, 382, 386, 388, 422, 437, 449, 463, 474, 477, 478, 479, 480, 494, 510, 512, 522, 523, 525, 533, 539, 541, 544, 545, 548, 555, 556, 568, 582, 583, 584, 597, 615, 616, 624, 628, 635, 644, 652, 663, 668, 671, 672, 673, 674, 681, 686, 687, 688, 690, 695, 706, 734, 737, 738, 739, 740, 753, 759, 765, 787, 805, 807, 809, 810, 844, 847, 848, 849, 850, 857, 861, 865, 870, 913, 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809, 865, 975, 1141, 1190, 1298, 1479], "py": 5, "pyctqw": 1489, "pygpcca": 1489, "pypi": 32, "python": [0, 3, 5, 16, 21, 22, 30, 32, 1460, 1489], "q": [18, 26, 28, 53, 99, 100, 101, 102, 103, 171, 175, 194, 283, 612, 615, 616, 968, 1048, 1049, 1050, 1051, 1052, 1059, 1488], "q_": [101, 102], "q_1": [23, 28], "q_2": [23, 28], "q_a": 1408, "q_b": 1408, "qarnoldi": [14, 26, 953, 976, 1048, 1049, 1050, 1051, 1052, 1081, 1097, 1100, 1109, 1114], "qb": 173, "qc2534": 12, "qcoeff": [18, 613, 615], "qdwh": [20, 1336, 1337, 1340], "qeig1_": 1085, "qeig2_": 1085, "qep": 968, "qquad": [18, 19, 25, 26, 28], "qr": [7, 10, 20, 28, 112, 115, 130, 171, 173, 174, 179, 181, 194, 196, 216, 243, 244, 261, 283], "qslice": [968, 1059], "qt": [243, 244], "quad": [21, 23, 26, 28, 317, 324, 1140], "quadrant": 18, "quadrat": [15, 19, 23, 194, 225, 968, 1025, 1028, 1047, 1048, 1059, 1064, 1069, 1128, 1129, 1130, 1488], "quadratur": [56, 156, 163, 317, 322, 324, 1140, 1162], "quadrupl": [19, 22, 26, 1292], "qualiti": [116, 117, 118], "quantiti": [27, 28, 163, 272, 293], "quantum": [12, 20], "quasi": [194, 195, 243, 244, 287], "queri": [4, 5, 167, 289, 555, 628, 695, 759, 941, 1115, 1175, 1280, 1429], "question": [3, 4, 16], "quick": 33, "quimb": 1489, "quit": [19, 23, 25, 1066], "quotient": [0, 19, 283, 496, 499, 501, 576, 1225], "qz": [195, 246], "r": [18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 80, 115, 127, 171, 175, 196, 301, 330, 337, 338, 339, 340, 341, 347, 348, 349, 350, 351, 352, 369, 483, 486, 487, 488, 508, 557, 715, 772, 787, 794, 857, 970, 977, 1010, 1293, 1308, 1309, 1366, 1369, 1370, 1371, 1378, 1447, 1484], "r_": [28, 115], "r_j": 19, "r_k": 23, "radian": 1167, "radient": 449, "radiu": [18, 19, 1143, 1144, 1145, 1156, 1166, 1167], "rais": 19, "ran": [699, 764], "rand": [77, 148], "random": [8, 18, 28, 77, 115, 119, 145, 146, 147, 148, 149, 150, 158, 370, 422, 1373, 1398, 1401, 1423, 1451, 1481, 1489], "randomli": [19, 119], "rang": [0, 18, 19, 20, 22, 27, 28, 350, 444, 455, 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Eigenvalue Problem Stored in a File", "Exercise 4: Singular Value Decomposition", "Exercise 5: Problem without Explicit Matrix Storage", "Exercise 6: Parallel Execution", "Exercise 7: Use of Deflation Subspaces", "Exercise 8: Quadratic Eigenvalue Problem", "Hands-on exercises", "Documentation", "License", "Auxiliary Classes", "EPS: Eigenvalue Problem Solver", "Additional Information", "SLEPc Users Manual", "Getting Started", "LME: Linear Matrix Equation", "MFN: Matrix Function", "NEP: Nonlinear Eigenvalue Problems", "PEP: Polynomial Eigenvalue Problems", "ST: Spectral Transformation", "SVD: Singular Value Decomposition", "Presentations", "SLEPc", "Download", "Installation", "Basic Installation Instructions", "BV", "BVAppendOptionsPrefix", "BVApplyMatrix", "BVApplyMatrixBV", "BVBiorthogonalizeColumn", "BVBiorthonormalizeColumn", "BVCISSResizeBases", "BVCONTIGUOUS", "BVCopy", "BVCopyColumn", "BVCopyVec", "BVCreate", "BVCreateFromMat", "BVCreateMat", "BVCreateTensor", "BVCreateVec", "BVCreateVecEmpty", "BVDestroy", "BVDot", "BVDotColumn", "BVDotColumnBegin", "BVDotColumnEnd", "BVDotQuadrature", "BVDotVec", "BVDotVecBegin", "BVDotVecEnd", "BVDuplicate", "BVDuplicateResize", "BVFinalizePackage", "BVGetActiveColumns", "BVGetArray", "BVGetArrayRead", "BVGetBufferVec", "BVGetCachedBV", "BVGetColumn", "BVGetDefiniteTolerance", "BVGetLeadingDimension", "BVGetMat", "BVGetMatMultMethod", "BVGetMatrix", "BVGetNumConstraints", "BVGetOptionsPrefix", "BVGetOrthogonalization", "BVGetRandomContext", "BVGetSignature", "BVGetSizes", "BVGetSplit", "BVGetSplitRows", "BVGetType", "BVGetVecType", "BVInitializePackage", "BVInsertConstraints", "BVInsertVec", "BVInsertVecs", "BVMAT", "BVMatArnoldi", "BVMatLanczos", "BVMatMult", "BVMatMultColumn", "BVMatMultHermitianTranspose", "BVMatMultHermitianTransposeColumn", "BVMatMultTranspose", "BVMatMultTransposeColumn", "BVMatMultType", "BVMatProject", "BVMult", "BVMultColumn", "BVMultInPlace", "BVMultInPlaceHermitianTranspose", "BVMultVec", "BVNorm", "BVNormColumn", "BVNormColumnBegin", "BVNormColumnEnd", "BVNormVec", "BVNormVecBegin", "BVNormVecEnd", "BVNormalize", "BVOrthogBlockType", "BVOrthogRefineType", "BVOrthogType", "BVOrthogonalize", "BVOrthogonalizeColumn", "BVOrthogonalizeSomeColumn", "BVOrthogonalizeVec", "BVOrthonormalizeColumn", "BVRegister", "BVRegisterAll", "BVResize", "BVRestoreArray", "BVRestoreArrayRead", "BVRestoreColumn", "BVRestoreMat", "BVRestoreSplit", "BVRestoreSplitRows", "BVSVDAndRank", "BVSVDMethod", "BVSVEC", "BVScale", "BVScaleColumn", "BVScatter", "BVSetActiveColumns", "BVSetBufferVec", "BVSetDefiniteTolerance", "BVSetFromOptions", "BVSetLeadingDimension", "BVSetMatMultMethod", "BVSetMatrix", "BVSetNumConstraints", "BVSetOptionsPrefix", "BVSetOrthogonalization", "BVSetRandom", "BVSetRandomColumn", "BVSetRandomCond", "BVSetRandomContext", "BVSetRandomNormal", "BVSetRandomSign", "BVSetSignature", "BVSetSizes", "BVSetSizesFromVec", "BVSetType", "BVSetVecType", "BVSumQuadrature", "BVTENSOR", "BVTensorBuildFirstColumn", "BVTensorCompress", "BVTensorGetDegree", "BVTensorGetFactors", "BVTensorRestoreFactors", "BVTraceQuadrature", "BVType", "BVVECS", "BVView", "BVViewFromOptions", "BV_MATMULT_MAT", "BV_MATMULT_MAT_SAVE", "BV_MATMULT_VECS", "BV_ORTHOG_BLOCK_CHOL", "BV_ORTHOG_BLOCK_GS", "BV_ORTHOG_BLOCK_SVQB", "BV_ORTHOG_BLOCK_TSQR", "BV_ORTHOG_BLOCK_TSQRCHOL", "BV_ORTHOG_CGS", "BV_ORTHOG_MGS", "BV_ORTHOG_REFINE_ALWAYS", "BV_ORTHOG_REFINE_IFNEEDED", "BV_ORTHOG_REFINE_NEVER", "BV_SVD_METHOD_QR", "BV_SVD_METHOD_QR_CAA", "BV_SVD_METHOD_REFINE", "Basis Vectors - BV", "DS", "DSAllocate", "DSAppendOptionsPrefix", "DSCond", "DSCreate", "DSDestroy", "DSDuplicate", "DSFinalizePackage", "DSGHEP", "DSGHIEP", "DSGNHEP", "DSGSVD", "DSGSVDGetDimensions", "DSGSVDSetDimensions", "DSGetArray", "DSGetArrayReal", "DSGetBlockSize", "DSGetCompact", "DSGetDimensions", "DSGetExtraRow", "DSGetLeadingDimension", "DSGetMat", "DSGetMatAndColumn", "DSGetMethod", "DSGetOptionsPrefix", "DSGetParallel", "DSGetRefined", "DSGetSlepcSC", "DSGetState", "DSGetTruncateSize", "DSGetType", "DSHEP", "DSHSVD", "DSHSVDGetDimensions", "DSHSVDGetReorthogonalize", "DSHSVDSetDimensions", "DSHSVDSetReorthogonalize", "DSInitializePackage", "DSMatGetSize", "DSMatIsHermitian", "DSMatType", "DSNEP", "DSNEPGetComputeMatrixFunction", "DSNEPGetFN", "DSNEPGetIntegrationPoints", "DSNEPGetMinimality", "DSNEPGetNumFN", "DSNEPGetRG", "DSNEPGetRefine", "DSNEPGetSamplingSize", "DSNEPMatrixFunctionFn", "DSNEPSetComputeMatrixFunction", "DSNEPSetFN", "DSNEPSetIntegrationPoints", "DSNEPSetMinimality", "DSNEPSetRG", "DSNEPSetRefine", "DSNEPSetSamplingSize", "DSNHEP", "DSNHEPTS", "DSOrthogonalize", "DSPEP", "DSPEPGetCoefficients", "DSPEPGetDegree", "DSPEPSetCoefficients", "DSPEPSetDegree", "DSParallelType", "DSPseudoOrthogonalize", "DSReallocate", "DSRegister", "DSRegisterAll", "DSReset", "DSRestoreArray", "DSRestoreArrayReal", "DSRestoreMat", "DSRestoreMatAndColumn", "DSSVD", "DSSVDGetDimensions", "DSSVDSetDimensions", "DSSetBlockSize", "DSSetCompact", "DSSetDimensions", "DSSetExtraRow", "DSSetFromOptions", "DSSetIdentity", "DSSetMethod", "DSSetOptionsPrefix", "DSSetParallel", "DSSetRefined", "DSSetSlepcSC", "DSSetState", "DSSetType", "DSSolve", "DSSort", "DSSortWithPermutation", "DSStateType", "DSSynchronize", "DSTranslateHarmonic", "DSTranslateRKS", "DSTruncate", "DSType", "DSUpdateExtraRow", "DSVectors", "DSView", "DSViewFromOptions", "DSViewMat", "DS_PARALLEL_DISTRIBUTED", "DS_PARALLEL_REDUNDANT", "DS_PARALLEL_SYNCHRONIZED", "DS_STATE_CONDENSED", "DS_STATE_INTERMEDIATE", "DS_STATE_RAW", "DS_STATE_TRUNCATED", "Direct Solver (or Dense System) - DS", "EPS", "EPSARNOLDI", "EPSARPACK", "EPSAllocateSolution", "EPSAppendOptionsPrefix", "EPSArnoldiGetDelayed", "EPSArnoldiSetDelayed", "EPSBLOPEX", "EPSBLOPEXGetBlockSize", "EPSBLOPEXSetBlockSize", "EPSBalance", "EPSCHASE", "EPSCHASEGetDegree", "EPSCHASESetDegree", "EPSCISS", "EPSCISSExtraction", "EPSCISSGetExtraction", "EPSCISSGetKSPs", "EPSCISSGetQuadRule", "EPSCISSGetRefinement", "EPSCISSGetSizes", "EPSCISSGetThreshold", "EPSCISSGetUseST", "EPSCISSQuadRule", "EPSCISSSetExtraction", "EPSCISSSetQuadRule", "EPSCISSSetRefinement", "EPSCISSSetSizes", "EPSCISSSetThreshold", "EPSCISSSetUseST", "EPSComputeError", "EPSConv", "EPSConvergedReason", "EPSConvergedReasonView", "EPSConvergedReasonViewFromOptions", "EPSConvergenceTestFn", "EPSCreate", "EPSDestroy", "EPSELEMENTAL", "EPSELPA", "EPSEVSL", "EPSEVSLDOSMethod", "EPSEVSLDamping", "EPSEVSLGetDOSParameters", "EPSEVSLGetDamping", "EPSEVSLGetPolParameters", "EPSEVSLGetRange", "EPSEVSLGetSlices", "EPSEVSLSetDOSParameters", "EPSEVSLSetDamping", "EPSEVSLSetPolParameters", "EPSEVSLSetRange", "EPSEVSLSetSlices", "EPSErrorType", "EPSErrorView", "EPSErrorViewFromOptions", "EPSExtraction", "EPSFEAST", "EPSFEASTGetNumPoints", "EPSFEASTSetNumPoints", "EPSFinalizePackage", "EPSGD", "EPSGDGetBOrth", "EPSGDGetBlockSize", "EPSGDGetDoubleExpansion", "EPSGDGetInitialSize", "EPSGDGetKrylovStart", "EPSGDGetRestart", "EPSGDSetBOrth", "EPSGDSetBlockSize", "EPSGDSetDoubleExpansion", "EPSGDSetInitialSize", "EPSGDSetKrylovStart", "EPSGDSetRestart", "EPSGetBV", "EPSGetBalance", "EPSGetConverged", "EPSGetConvergedReason", "EPSGetConvergenceTest", "EPSGetDS", "EPSGetDimensions", "EPSGetEigenpair", "EPSGetEigenvalue", "EPSGetEigenvector", "EPSGetErrorEstimate", "EPSGetExtraction", "EPSGetInterval", "EPSGetInvariantSubspace", "EPSGetIterationNumber", "EPSGetLeftEigenvector", "EPSGetMonitorContext", "EPSGetOperators", "EPSGetOptionsPrefix", "EPSGetProblemType", "EPSGetPurify", "EPSGetRG", "EPSGetST", "EPSGetStoppingTest", "EPSGetTarget", "EPSGetThreshold", "EPSGetTolerances", "EPSGetTrackAll", "EPSGetTrueResidual", "EPSGetTwoSided", "EPSGetType", "EPSGetWhichEigenpairs", "EPSInitializePackage", "EPSIsGeneralized", "EPSIsHermitian", "EPSIsPositive", "EPSIsStructured", "EPSJD", "EPSJDGetBOrth", "EPSJDGetBlockSize", "EPSJDGetConstCorrectionTol", "EPSJDGetFix", "EPSJDGetInitialSize", "EPSJDGetKrylovStart", "EPSJDGetRestart", "EPSJDSetBOrth", "EPSJDSetBlockSize", "EPSJDSetConstCorrectionTol", "EPSJDSetFix", "EPSJDSetInitialSize", "EPSJDSetKrylovStart", "EPSJDSetRestart", "EPSKRYLOVSCHUR", "EPSKrylovSchurBSEType", "EPSKrylovSchurGetBSEType", "EPSKrylovSchurGetDetectZeros", "EPSKrylovSchurGetDimensions", "EPSKrylovSchurGetInertias", "EPSKrylovSchurGetKSP", "EPSKrylovSchurGetLocking", "EPSKrylovSchurGetPartitions", "EPSKrylovSchurGetRestart", "EPSKrylovSchurGetSubcommInfo", "EPSKrylovSchurGetSubcommMats", "EPSKrylovSchurGetSubcommPairs", "EPSKrylovSchurGetSubintervals", "EPSKrylovSchurSetBSEType", "EPSKrylovSchurSetDetectZeros", "EPSKrylovSchurSetDimensions", "EPSKrylovSchurSetLocking", "EPSKrylovSchurSetPartitions", "EPSKrylovSchurSetRestart", "EPSKrylovSchurSetSubintervals", "EPSKrylovSchurUpdateSubcommMats", "EPSLANCZOS", "EPSLAPACK", "EPSLOBPCG", "EPSLOBPCGGetBlockSize", "EPSLOBPCGGetLocking", "EPSLOBPCGGetRestart", "EPSLOBPCGSetBlockSize", "EPSLOBPCGSetLocking", "EPSLOBPCGSetRestart", "EPSLYAPII", "EPSLanczosGetReorthog", "EPSLanczosReorthogType", "EPSLanczosSetReorthog", "EPSLyapIIGetLME", "EPSLyapIIGetRanks", "EPSLyapIISetLME", "EPSLyapIISetRanks", "EPSMonitorAll", "EPSMonitorAllDrawLG", "EPSMonitorAllDrawLGCreate", "EPSMonitorCancel", "EPSMonitorConverged", "EPSMonitorConvergedDrawLG", "EPSMonitorConvergedDrawLGCreate", "EPSMonitorFirst", "EPSMonitorFirstDrawLG", "EPSMonitorFirstDrawLGCreate", "EPSMonitorFn", "EPSMonitorRegister", "EPSMonitorRegisterAll", "EPSMonitorRegisterCreateFn", "EPSMonitorRegisterDestroyFn", "EPSMonitorRegisterFn", "EPSMonitorSet", "EPSMonitorSetFromOptions", "EPSPOWER", "EPSPRIMME", "EPSPRIMMEGetBlockSize", "EPSPRIMMEGetMethod", "EPSPRIMMEMethod", "EPSPRIMMESetBlockSize", "EPSPRIMMESetMethod", "EPSPowerGetNonlinear", "EPSPowerGetSNES", "EPSPowerGetShiftType", "EPSPowerGetSignNormalization", "EPSPowerGetUpdate", "EPSPowerSetNonlinear", "EPSPowerSetSNES", "EPSPowerSetShiftType", "EPSPowerSetSignNormalization", "EPSPowerSetUpdate", "EPSPowerShiftType", "EPSProblemType", "EPSRQCG", "EPSRQCGGetReset", "EPSRQCGSetReset", "EPSReallocateSolution", "EPSRegister", "EPSRegisterAll", "EPSReset", "EPSSCALAPACK", "EPSSUBSPACE", "EPSSetArbitrarySelection", "EPSSetBV", "EPSSetBalance", "EPSSetConvergenceTest", "EPSSetConvergenceTestFunction", "EPSSetDS", "EPSSetDSType", "EPSSetDeflationSpace", "EPSSetDimensions", "EPSSetEigenvalueComparison", "EPSSetExtraction", "EPSSetFromOptions", "EPSSetInitialSpace", "EPSSetInterval", "EPSSetLeftInitialSpace", "EPSSetOperators", "EPSSetOptionsPrefix", "EPSSetProblemType", "EPSSetPurify", "EPSSetRG", "EPSSetST", "EPSSetStoppingTest", "EPSSetStoppingTestFunction", "EPSSetTarget", "EPSSetThreshold", "EPSSetTolerances", "EPSSetTrackAll", "EPSSetTrueResidual", "EPSSetTwoSided", "EPSSetType", "EPSSetUp", "EPSSetWhichEigenpairs", "EPSSetWorkVecs", "EPSSolve", "EPSStop", "EPSStoppingBasic", "EPSStoppingCtx", "EPSStoppingTestFn", "EPSStoppingThreshold", "EPSType", "EPSValuesView", "EPSValuesViewFromOptions", "EPSVectorsView", "EPSVectorsViewFromOptions", "EPSView", "EPSViewFromOptions", "EPSWhich", "EPS_BSE", "EPS_CONVERGED_ITERATING", "EPS_CONVERGED_TOL", "EPS_CONVERGED_USER", "EPS_DIVERGED_BREAKDOWN", "EPS_DIVERGED_ITS", "EPS_DIVERGED_SYMMETRY_LOST", "EPS_GHEP", "EPS_GHIEP", "EPS_GNHEP", "EPS_HAMILT", "EPS_HARMONIC", "EPS_HARMONIC_LARGEST", "EPS_HARMONIC_RELATIVE", "EPS_HARMONIC_RIGHT", "EPS_HEP", "EPS_NHEP", "EPS_PGNHEP", "EPS_POWER_SHIFT_CONSTANT", "EPS_POWER_SHIFT_RAYLEIGH", "EPS_POWER_SHIFT_WILKINSON", "EPS_REFINED", "EPS_REFINED_HARMONIC", "EPS_RITZ", "EPS_STOP_BASIC", "EPS_STOP_THRESHOLD", "EPS_STOP_USER", "Eigenvalue Problem Solver - EPS", "FN", "FNAppendOptionsPrefix", "FNCOMBINE", "FNCombineGetChildren", "FNCombineSetChildren", "FNCombineType", "FNCreate", "FNDestroy", "FNDuplicate", "FNEXP", "FNEvaluateDerivative", "FNEvaluateFunction", "FNEvaluateFunctionMat", "FNEvaluateFunctionMatVec", "FNFinalizePackage", "FNGetMethod", "FNGetOptionsPrefix", "FNGetParallel", "FNGetScale", "FNGetType", "FNINVSQRT", "FNInitializePackage", "FNLOG", "FNPHI", "FNParallelType", "FNPhiGetIndex", "FNPhiSetIndex", "FNRATIONAL", "FNRationalGetDenominator", "FNRationalGetNumerator", "FNRationalSetDenominator", "FNRationalSetNumerator", "FNRegister", "FNRegisterAll", "FNSQRT", "FNSetFromOptions", "FNSetMethod", "FNSetOptionsPrefix", "FNSetParallel", "FNSetScale", "FNSetType", "FNType", "FNView", "FNViewFromOptions", "FN_COMBINE_ADD", "FN_COMBINE_COMPOSE", "FN_COMBINE_DIVIDE", "FN_COMBINE_MULTIPLY", "FN_PARALLEL_REDUNDANT", "FN_PARALLEL_SYNCHRONIZED", "Mathematical Function - FN", "LME", "LMEAllocateSolution", "LMEAppendOptionsPrefix", "LMEComputeError", "LMEConvergedReason", "LMEConvergedReasonView", "LMEConvergedReasonViewFromOptions", "LMECreate", "LMEDenseHessLyapunovChol", "LMEDenseLyapunov", "LMEDestroy", "LMEFinalizePackage", "LMEGetBV", "LMEGetCoefficients", "LMEGetConvergedReason", "LMEGetDimensions", "LMEGetErrorEstimate", "LMEGetErrorIfNotConverged", "LMEGetIterationNumber", "LMEGetMonitorContext", "LMEGetOptionsPrefix", "LMEGetProblemType", "LMEGetRHS", "LMEGetSolution", "LMEGetTolerances", "LMEGetType", "LMEInitializePackage", "LMEKRYLOV", "LMEMonitorCancel", "LMEMonitorDefault", "LMEMonitorDefaultDrawLG", "LMEMonitorDefaultDrawLGCreate", "LMEMonitorFn", "LMEMonitorRegister", "LMEMonitorRegisterAll", "LMEMonitorRegisterCreateFn", "LMEMonitorRegisterDestroyFn", "LMEMonitorRegisterFn", "LMEMonitorSet", "LMEMonitorSetFromOptions", "LMEProblemType", "LMERegister", "LMERegisterAll", "LMEReset", "LMESetBV", "LMESetCoefficients", "LMESetDimensions", "LMESetErrorIfNotConverged", "LMESetFromOptions", "LMESetOptionsPrefix", "LMESetProblemType", "LMESetRHS", "LMESetSolution", "LMESetTolerances", "LMESetType", "LMESetUp", "LMESolve", "LMEType", "LMEView", "LMEViewFromOptions", "LME_CONVERGED_ITERATING", "LME_CONVERGED_TOL", "LME_DIVERGED_BREAKDOWN", "LME_DIVERGED_ITS", "LME_DT_LYAPUNOV", "LME_GEN_LYAPUNOV", "LME_GEN_SYLVESTER", "LME_LYAPUNOV", "LME_STEIN", "LME_SYLVESTER", "Linear Matrix Equation - LME", "MFN", "MFNAllocateSolution", "MFNAppendOptionsPrefix", "MFNConvergedReason", "MFNConvergedReasonView", "MFNConvergedReasonViewFromOptions", "MFNCreate", "MFNDestroy", "MFNEXPOKIT", "MFNFinalizePackage", "MFNGetBV", "MFNGetConvergedReason", "MFNGetDimensions", "MFNGetErrorIfNotConverged", "MFNGetFN", "MFNGetIterationNumber", "MFNGetMonitorContext", "MFNGetOperator", "MFNGetOptionsPrefix", "MFNGetTolerances", "MFNGetType", "MFNInitializePackage", "MFNKRYLOV", "MFNMonitorCancel", "MFNMonitorDefault", "MFNMonitorDefaultDrawLG", "MFNMonitorDefaultDrawLGCreate", "MFNMonitorFn", "MFNMonitorRegister", "MFNMonitorRegisterAll", "MFNMonitorRegisterCreateFn", "MFNMonitorRegisterDestroyFn", "MFNMonitorRegisterFn", "MFNMonitorSet", "MFNMonitorSetFromOptions", "MFNRegister", "MFNRegisterAll", "MFNReset", "MFNSetBV", "MFNSetDimensions", "MFNSetErrorIfNotConverged", "MFNSetFN", "MFNSetFromOptions", "MFNSetOperator", "MFNSetOptionsPrefix", "MFNSetTolerances", "MFNSetType", "MFNSetUp", "MFNSolve", "MFNSolveTranspose", "MFNType", "MFNView", "MFNViewFromOptions", "MFN_CONVERGED_ITERATING", "MFN_CONVERGED_ITS", "MFN_CONVERGED_TOL", "MFN_DIVERGED_BREAKDOWN", "MFN_DIVERGED_ITS", "Matrix Function - MFN", "NEP", "NEPAllocateSolution", "NEPAppendOptionsPrefix", "NEPApplyAdjoint", "NEPApplyFunction", "NEPApplyJacobian", "NEPApplyResolvent", "NEPCISS", "NEPCISSExtraction", "NEPCISSGetExtraction", "NEPCISSGetKSPs", "NEPCISSGetRefinement", "NEPCISSGetSizes", "NEPCISSGetThreshold", "NEPCISSSetExtraction", "NEPCISSSetRefinement", "NEPCISSSetSizes", "NEPCISSSetThreshold", "NEPComputeError", "NEPComputeFunction", "NEPComputeJacobian", "NEPConv", "NEPConvergedReason", "NEPConvergedReasonView", "NEPConvergedReasonViewFromOptions", "NEPConvergenceTestFn", "NEPCreate", "NEPDestroy", "NEPErrorType", "NEPErrorView", "NEPErrorViewFromOptions", "NEPFinalizePackage", "NEPFunctionFn", "NEPGetBV", "NEPGetConverged", "NEPGetConvergedReason", "NEPGetConvergenceTest", "NEPGetDS", "NEPGetDimensions", "NEPGetEigenpair", "NEPGetErrorEstimate", "NEPGetFunction", "NEPGetIterationNumber", "NEPGetJacobian", "NEPGetLeftEigenvector", "NEPGetMonitorContext", "NEPGetOptionsPrefix", "NEPGetProblemType", "NEPGetRG", "NEPGetRefine", "NEPGetSplitOperatorInfo", "NEPGetSplitOperatorTerm", "NEPGetSplitPreconditionerInfo", "NEPGetSplitPreconditionerTerm", "NEPGetStoppingTest", "NEPGetTarget", "NEPGetTolerances", "NEPGetTrackAll", "NEPGetTwoSided", "NEPGetType", "NEPGetWhichEigenpairs", "NEPINTERPOL", "NEPInitializePackage", "NEPInterpolGetInterpolation", "NEPInterpolGetPEP", "NEPInterpolSetInterpolation", "NEPInterpolSetPEP", "NEPJacobianFn", "NEPMonitorAll", "NEPMonitorAllDrawLG", "NEPMonitorAllDrawLGCreate", "NEPMonitorCancel", "NEPMonitorConverged", "NEPMonitorConvergedDrawLG", "NEPMonitorConvergedDrawLGCreate", "NEPMonitorFirst", "NEPMonitorFirstDrawLG", "NEPMonitorFirstDrawLGCreate", "NEPMonitorFn", "NEPMonitorRegister", "NEPMonitorRegisterAll", "NEPMonitorRegisterCreateFn", "NEPMonitorRegisterDestroyFn", "NEPMonitorRegisterFn", "NEPMonitorSet", "NEPMonitorSetFromOptions", "NEPNARNOLDI", "NEPNArnoldiGetKSP", "NEPNArnoldiGetLagPreconditioner", "NEPNArnoldiSetKSP", "NEPNArnoldiSetLagPreconditioner", "NEPNLEIGS", "NEPNLEIGSGetEPS", "NEPNLEIGSGetFullBasis", "NEPNLEIGSGetInterpolation", "NEPNLEIGSGetKSPs", "NEPNLEIGSGetLocking", "NEPNLEIGSGetRKShifts", "NEPNLEIGSGetRestart", "NEPNLEIGSGetSingularitiesFunction", "NEPNLEIGSSetEPS", "NEPNLEIGSSetFullBasis", "NEPNLEIGSSetInterpolation", "NEPNLEIGSSetLocking", "NEPNLEIGSSetRKShifts", "NEPNLEIGSSetRestart", "NEPNLEIGSSetSingularitiesFunction", "NEPNLEIGSSingularitiesFn", "NEPProblemType", "NEPProjectOperator", "NEPRII", "NEPRIIGetConstCorrectionTol", "NEPRIIGetDeflationThreshold", "NEPRIIGetHermitian", "NEPRIIGetKSP", "NEPRIIGetLagPreconditioner", "NEPRIIGetMaximumIterations", "NEPRIISetConstCorrectionTol", "NEPRIISetDeflationThreshold", "NEPRIISetHermitian", "NEPRIISetKSP", "NEPRIISetLagPreconditioner", "NEPRIISetMaximumIterations", "NEPRefine", "NEPRefineGetKSP", "NEPRefineScheme", "NEPRegister", "NEPRegisterAll", "NEPReset", "NEPSLP", "NEPSLPGetDeflationThreshold", "NEPSLPGetEPS", "NEPSLPGetEPSLeft", "NEPSLPGetKSP", "NEPSLPSetDeflationThreshold", "NEPSLPSetEPS", "NEPSLPSetEPSLeft", "NEPSLPSetKSP", "NEPSetBV", "NEPSetConvergenceTest", "NEPSetConvergenceTestFunction", "NEPSetDS", "NEPSetDSType", "NEPSetDimensions", "NEPSetEigenvalueComparison", "NEPSetFromOptions", "NEPSetFunction", "NEPSetInitialSpace", "NEPSetJacobian", "NEPSetOptionsPrefix", "NEPSetProblemType", "NEPSetRG", "NEPSetRefine", "NEPSetSplitOperator", "NEPSetSplitPreconditioner", "NEPSetStoppingTest", "NEPSetStoppingTestFunction", "NEPSetTarget", "NEPSetTolerances", "NEPSetTrackAll", "NEPSetTwoSided", "NEPSetType", "NEPSetUp", "NEPSetWhichEigenpairs", "NEPSetWorkVecs", "NEPSolve", "NEPStop", "NEPStoppingBasic", "NEPStoppingTestFn", "NEPType", "NEPValuesView", "NEPValuesViewFromOptions", "NEPVectorsView", "NEPVectorsViewFromOptions", "NEPView", "NEPViewFromOptions", "NEPWhich", "NEP_CONVERGED_ITERATING", "NEP_CONVERGED_TOL", "NEP_CONVERGED_USER", "NEP_DIVERGED_BREAKDOWN", "NEP_DIVERGED_ITS", "NEP_DIVERGED_LINEAR_SOLVE", "NEP_DIVERGED_SUBSPACE_EXHAUSTED", "NEP_STOP_BASIC", "NEP_STOP_USER", "Nonlinear Eigenvalue Problem Solvers - NEP", "PEP", "PEPAllocateSolution", "PEPAppendOptionsPrefix", "PEPBasis", "PEPCISS", "PEPCISSExtraction", "PEPCISSGetExtraction", "PEPCISSGetKSPs", "PEPCISSGetRefinement", "PEPCISSGetSizes", "PEPCISSGetThreshold", "PEPCISSSetExtraction", "PEPCISSSetRefinement", "PEPCISSSetSizes", "PEPCISSSetThreshold", "PEPCheckDefiniteQEP", "PEPComputeError", "PEPConv", "PEPConvergedReason", "PEPConvergedReasonView", "PEPConvergedReasonViewFromOptions", "PEPConvergenceTestFn", "PEPCreate", "PEPDestroy", "PEPErrorType", "PEPErrorView", "PEPErrorViewFromOptions", "PEPExtract", "PEPFinalizePackage", "PEPGetBV", "PEPGetBasis", "PEPGetConverged", "PEPGetConvergedReason", "PEPGetConvergenceTest", "PEPGetDS", "PEPGetDimensions", "PEPGetEigenpair", "PEPGetErrorEstimate", "PEPGetExtract", "PEPGetInterval", "PEPGetIterationNumber", "PEPGetMonitorContext", "PEPGetNumMatrices", "PEPGetOperators", "PEPGetOptionsPrefix", "PEPGetProblemType", "PEPGetRG", "PEPGetRefine", "PEPGetST", "PEPGetScale", "PEPGetStoppingTest", "PEPGetTarget", "PEPGetTolerances", "PEPGetTrackAll", "PEPGetType", "PEPGetWhichEigenpairs", "PEPInitializePackage", "PEPJD", "PEPJDGetFix", "PEPJDGetMinimalityIndex", "PEPJDGetProjection", "PEPJDGetRestart", "PEPJDGetReusePreconditioner", "PEPJDProjection", "PEPJDSetFix", "PEPJDSetMinimalityIndex", "PEPJDSetProjection", "PEPJDSetRestart", "PEPJDSetReusePreconditioner", "PEPLINEAR", "PEPLinearGetEPS", "PEPLinearGetExplicitMatrix", "PEPLinearGetLinearization", "PEPLinearSetEPS", "PEPLinearSetExplicitMatrix", "PEPLinearSetLinearization", "PEPMonitorAll", "PEPMonitorAllDrawLG", "PEPMonitorAllDrawLGCreate", "PEPMonitorCancel", "PEPMonitorConverged", "PEPMonitorConvergedDrawLG", "PEPMonitorConvergedDrawLGCreate", "PEPMonitorFirst", "PEPMonitorFirstDrawLG", "PEPMonitorFirstDrawLGCreate", "PEPMonitorFn", "PEPMonitorRegister", "PEPMonitorRegisterAll", "PEPMonitorRegisterCreateFn", "PEPMonitorRegisterDestroyFn", "PEPMonitorRegisterFn", "PEPMonitorSet", "PEPMonitorSetFromOptions", "PEPProblemType", "PEPQARNOLDI", "PEPQArnoldiGetLocking", "PEPQArnoldiGetRestart", "PEPQArnoldiSetLocking", "PEPQArnoldiSetRestart", "PEPRefine", "PEPRefineGetKSP", "PEPRefineScheme", "PEPRegister", "PEPRegisterAll", "PEPReset", "PEPSTOAR", "PEPSTOARGetCheckEigenvalueType", "PEPSTOARGetDetectZeros", "PEPSTOARGetDimensions", "PEPSTOARGetInertias", "PEPSTOARGetLinearization", "PEPSTOARGetLocking", "PEPSTOARSetCheckEigenvalueType", "PEPSTOARSetDetectZeros", "PEPSTOARSetDimensions", "PEPSTOARSetLinearization", "PEPSTOARSetLocking", "PEPScale", "PEPSetBV", "PEPSetBasis", "PEPSetConvergenceTest", "PEPSetConvergenceTestFunction", "PEPSetDS", "PEPSetDSType", "PEPSetDimensions", "PEPSetEigenvalueComparison", "PEPSetExtract", "PEPSetFromOptions", "PEPSetInitialSpace", "PEPSetInterval", "PEPSetOperators", "PEPSetOptionsPrefix", "PEPSetProblemType", "PEPSetRG", "PEPSetRefine", "PEPSetST", "PEPSetScale", "PEPSetStoppingTest", "PEPSetStoppingTestFunction", "PEPSetTarget", "PEPSetTolerances", "PEPSetTrackAll", "PEPSetType", "PEPSetUp", "PEPSetWhichEigenpairs", "PEPSetWorkVecs", "PEPSolve", "PEPStop", "PEPStoppingBasic", "PEPStoppingTestFn", "PEPTOAR", "PEPTOARGetLocking", "PEPTOARGetRestart", "PEPTOARSetLocking", "PEPTOARSetRestart", "PEPType", "PEPValuesView", "PEPValuesViewFromOptions", "PEPVectorsView", "PEPVectorsViewFromOptions", "PEPView", "PEPViewFromOptions", "PEPWhich", "PEP_CONVERGED_ITERATING", "PEP_CONVERGED_TOL", "PEP_CONVERGED_USER", "PEP_DIVERGED_BREAKDOWN", "PEP_DIVERGED_ITS", "PEP_DIVERGED_SYMMETRY_LOST", "PEP_EXTRACT_NONE", "PEP_EXTRACT_NORM", "PEP_EXTRACT_RESIDUAL", "PEP_EXTRACT_STRUCTURED", "PEP_GENERAL", "PEP_GYROSCOPIC", "PEP_HERMITIAN", "PEP_HYPERBOLIC", "PEP_STOP_BASIC", "PEP_STOP_USER", "Polynomial Eigenvalue Problem Solvers - PEP", "RG", "RGAppendOptionsPrefix", "RGCanUseConjugates", "RGCheckInside", "RGComputeBoundingBox", "RGComputeContour", "RGComputeQuadrature", "RGCreate", "RGDestroy", "RGELLIPSE", "RGEllipseGetParameters", "RGEllipseSetParameters", "RGFinalizePackage", "RGGetComplement", "RGGetOptionsPrefix", "RGGetScale", "RGGetType", "RGINTERVAL", "RGInitializePackage", "RGIntervalGetEndpoints", "RGIntervalSetEndpoints", "RGIsAxisymmetric", "RGIsTrivial", "RGPOLYGON", "RGPolygonGetVertices", "RGPolygonSetVertices", "RGPopScale", "RGPushScale", "RGQuadRule", "RGRING", "RGRegister", "RGRegisterAll", "RGRingGetParameters", "RGRingSetParameters", "RGSetComplement", "RGSetFromOptions", "RGSetOptionsPrefix", "RGSetScale", "RGSetType", "RGType", "RGView", "RGViewFromOptions", "RG_QUADRULE_CHEBYSHEV", "RG_QUADRULE_TRAPEZOIDAL", "Region - RG", "ST", "STAppendOptionsPrefix", "STApply", "STApplyHermitianTranspose", "STApplyMat", "STApplyTranspose", "STBackTransform", "STCAYLEY", "STCayleyGetAntishift", "STCayleySetAntishift", "STCheckNullSpace", "STCreate", "STDestroy", "STFILTER", "STFilterDamping", "STFilterGetDamping", "STFilterGetDegree", "STFilterGetInterval", "STFilterGetRange", "STFilterGetThreshold", "STFilterGetType", "STFilterSetDamping", "STFilterSetDegree", "STFilterSetInterval", "STFilterSetRange", "STFilterSetType", "STFilterType", "STFinalizePackage", "STGetBalanceMatrix", "STGetBilinearForm", "STGetKSP", "STGetMatMode", "STGetMatStructure", "STGetMatrix", "STGetMatrixTransformed", "STGetNumMatrices", "STGetOperator", "STGetOptionsPrefix", "STGetPreconditionerMat", "STGetShift", "STGetSplitPreconditionerInfo", "STGetSplitPreconditionerTerm", "STGetStructured", "STGetTransform", "STGetType", "STInitializePackage", "STIsInjective", "STMatCreateVecs", "STMatCreateVecsEmpty", "STMatGetLocalSize", "STMatGetSize", "STMatMatSolve", "STMatMode", "STMatMult", "STMatMultHermitianTranspose", "STMatMultTranspose", "STMatSetUp", "STMatSolve", "STMatSolveHermitianTranspose", "STMatSolveTranspose", "STPRECOND", "STPostSolve", "STPrecondGetKSPHasMat", "STPrecondSetKSPHasMat", "STRegister", "STRegisterAll", "STReset", "STResetMatrixState", "STRestoreOperator", "STSHELL", "STSHIFT", "STSINVERT", "STScaleShift", "STSetBalanceMatrix", "STSetDefaultShift", "STSetFromOptions", "STSetKSP", "STSetMatMode", "STSetMatStructure", "STSetMatrices", "STSetOptionsPrefix", "STSetPreconditionerMat", "STSetShift", "STSetSplitPreconditioner", "STSetStructured", "STSetTransform", "STSetType", "STSetUp", "STSetWorkVecs", "STShellApplyFn", "STShellApplyHermitianTransposeFn", "STShellApplyTransposeFn", "STShellBackTransformFn", "STShellGetContext", "STShellSetApply", "STShellSetApplyHermitianTranspose", "STShellSetApplyTranspose", 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