1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
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
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
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
635
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
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
|
<!DOCTYPE html>
<html lang="en" data-content_root="../" >
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Frequently Asked Questions — SLEPc 3.24.1 documentation</title>
<script data-cfasync="false">
document.documentElement.dataset.mode = localStorage.getItem("mode") || "";
document.documentElement.dataset.theme = localStorage.getItem("theme") || "";
</script>
<!--
this give us a css class that will be invisible only if js is disabled
-->
<noscript>
<style>
.pst-js-only { display: none !important; }
</style>
</noscript>
<!-- Loaded before other Sphinx assets -->
<link href="../_static/styles/theme.css?digest=8878045cc6db502f8baf" rel="stylesheet" />
<link href="../_static/styles/pydata-sphinx-theme.css?digest=8878045cc6db502f8baf" rel="stylesheet" />
<link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=8f2a1f02" />
<link rel="stylesheet" type="text/css" href="../_static/copybutton.css?v=76b2166b" />
<link rel="stylesheet" type="text/css" href="../_static/togglebutton.css?v=13237357" />
<link rel="stylesheet" type="text/css" href="../_static/sphinx-design.min.css?v=95c83b7e" />
<link rel="stylesheet" type="text/css" href="../_static/css/slepc.css?v=d285b177" />
<!-- So that users can add custom icons -->
<script src="../_static/scripts/fontawesome.js?digest=8878045cc6db502f8baf"></script>
<!-- Pre-loaded scripts that we'll load fully later -->
<link rel="preload" as="script" href="../_static/scripts/bootstrap.js?digest=8878045cc6db502f8baf" />
<link rel="preload" as="script" href="../_static/scripts/pydata-sphinx-theme.js?digest=8878045cc6db502f8baf" />
<script src="../_static/documentation_options.js?v=d1c46438"></script>
<script src="../_static/doctools.js?v=9a2dae69"></script>
<script src="../_static/sphinx_highlight.js?v=dc90522c"></script>
<script src="../_static/clipboard.min.js?v=a7894cd8"></script>
<script src="../_static/copybutton.js?v=a56c686a"></script>
<script>let toggleHintShow = 'Click to show';</script>
<script>let toggleHintHide = 'Click to hide';</script>
<script>let toggleOpenOnPrint = 'true';</script>
<script src="../_static/togglebutton.js?v=4a39c7ea"></script>
<script src="../_static/design-tabs.js?v=f930bc37"></script>
<script>var togglebuttonSelector = '.toggle, .admonition.dropdown';</script>
<script>var togglebuttonSelector = '.toggle, .admonition.dropdown';</script>
<script>window.MathJax = {"options": {"processHtmlClass": "tex2jax_process|mathjax_process|math|output_area"}}</script>
<script defer="defer" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
<script>DOCUMENTATION_OPTIONS.pagename = 'documentation/faq';</script>
<link rel="icon" href="../_static/favicon-slepc.ico"/>
<link rel="index" title="Index" href="../genindex.html" />
<link rel="search" title="Search" href="../search.html" />
<link rel="next" title="Presentations" href="presentations.html" />
<link rel="prev" title="Exercise 8: Quadratic Eigenvalue Problem" href="hands-on/hands-on8.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docsearch:version" content="3.24" />
</head>
<body data-bs-spy="scroll" data-bs-target=".bd-toc-nav" data-offset="180" data-bs-root-margin="0px 0px -60%" data-default-mode="">
<div id="pst-skip-link" class="skip-link d-print-none"><a href="#main-content">Skip to main content</a></div>
<div id="pst-scroll-pixel-helper"></div>
<button type="button" class="btn rounded-pill" id="pst-back-to-top">
<i class="fa-solid fa-arrow-up"></i>Back to top</button>
<dialog id="pst-search-dialog">
<form class="bd-search d-flex align-items-center"
action="../search.html"
method="get">
<i class="fa-solid fa-magnifying-glass"></i>
<input type="search"
class="form-control"
name="q"
placeholder="Search the docs ..."
aria-label="Search the docs ..."
autocomplete="off"
autocorrect="off"
autocapitalize="off"
spellcheck="false"/>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span>
</form>
</dialog>
<div class="pst-async-banner-revealer d-none">
<aside id="bd-header-version-warning" class="d-none d-print-none" aria-label="Version warning"></aside>
</div>
<header class="bd-header navbar navbar-expand-lg bd-navbar d-print-none">
<div class="bd-header__inner bd-page-width">
<button class="pst-navbar-icon sidebar-toggle primary-toggle" aria-label="Site navigation">
<span class="fa-solid fa-bars"></span>
</button>
<div class="col-lg-3 navbar-header-items__start">
<div class="navbar-item">
<a class="navbar-brand logo" href="../index.html">
<img src="../_static/logo-slepc.gif" class="logo__image only-light" alt="SLEPc Home"/>
<img src="../_static/logo-slepc.gif" class="logo__image only-dark pst-js-only" alt="SLEPc Home"/>
</a></div>
</div>
<div class="col-lg-9 navbar-header-items">
<div class="me-auto navbar-header-items__center">
<div class="navbar-item">
<nav>
<ul class="bd-navbar-elements navbar-nav">
<li class="nav-item ">
<a class="nav-link nav-internal" href="../about/index.html">
About
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../installation/index.html">
Installation
</a>
</li>
<li class="nav-item current active">
<a class="nav-link nav-internal" href="index.html">
Documentation
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../manualpages/index.html">
C/Fortran API
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../slepc4py/index.html">
slepc4py API
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../material/index.html">
Material
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../contact/index.html">
Contact
</a>
</li>
</ul>
</nav></div>
</div>
<div class="navbar-header-items__end">
<div class="navbar-item navbar-persistent--container">
<button class="btn search-button-field search-button__button pst-js-only" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="fa-solid fa-magnifying-glass"></i>
<span class="search-button__default-text">Search</span>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span>
</button>
</div>
<div class="navbar-item">
<button class="btn btn-sm nav-link pst-navbar-icon theme-switch-button pst-js-only" aria-label="Color mode" data-bs-title="Color mode" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="theme-switch fa-solid fa-sun fa-lg" data-mode="light" title="Light"></i>
<i class="theme-switch fa-solid fa-moon fa-lg" data-mode="dark" title="Dark"></i>
<i class="theme-switch fa-solid fa-circle-half-stroke fa-lg" data-mode="auto" title="System Settings"></i>
</button></div>
<div class="navbar-item"><ul class="navbar-icon-links"
aria-label="Icon Links">
<li class="nav-item">
<a href="https://gitlab.com/slepc/slepc" title="GitLab" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><i class="fa-brands fa-square-gitlab fa-lg" aria-hidden="true"></i>
<span class="sr-only">GitLab</span></a>
</li>
<li class="nav-item">
<a href="https://www.upv.es" title="UPV" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><img src="https://www.upv.es/favicon.ico" class="icon-link-image" alt="UPV"/></a>
</li>
<li class="nav-item">
<a href="https://slepc.upv.es/release/_static/rss/slepc-news.xml" title="Feed" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><i class="fa-solid fa-square-rss fa-lg" aria-hidden="true"></i>
<span class="sr-only">Feed</span></a>
</li>
</ul></div>
</div>
</div>
<div class="navbar-persistent--mobile">
<button class="btn search-button-field search-button__button pst-js-only" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="fa-solid fa-magnifying-glass"></i>
<span class="search-button__default-text">Search</span>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span>
</button>
</div>
<button class="pst-navbar-icon sidebar-toggle secondary-toggle" aria-label="On this page">
<span class="fa-solid fa-outdent"></span>
</button>
</div>
</header>
<div class="bd-container">
<div class="bd-container__inner bd-page-width">
<dialog id="pst-primary-sidebar-modal"></dialog>
<div id="pst-primary-sidebar" class="bd-sidebar-primary bd-sidebar">
<div class="sidebar-header-items sidebar-primary__section">
<div class="sidebar-header-items__center">
<div class="navbar-item">
<nav>
<ul class="bd-navbar-elements navbar-nav">
<li class="nav-item ">
<a class="nav-link nav-internal" href="../about/index.html">
About
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../installation/index.html">
Installation
</a>
</li>
<li class="nav-item current active">
<a class="nav-link nav-internal" href="index.html">
Documentation
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../manualpages/index.html">
C/Fortran API
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../slepc4py/index.html">
slepc4py API
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../material/index.html">
Material
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="../contact/index.html">
Contact
</a>
</li>
</ul>
</nav></div>
</div>
<div class="sidebar-header-items__end">
<div class="navbar-item">
<button class="btn btn-sm nav-link pst-navbar-icon theme-switch-button pst-js-only" aria-label="Color mode" data-bs-title="Color mode" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="theme-switch fa-solid fa-sun fa-lg" data-mode="light" title="Light"></i>
<i class="theme-switch fa-solid fa-moon fa-lg" data-mode="dark" title="Dark"></i>
<i class="theme-switch fa-solid fa-circle-half-stroke fa-lg" data-mode="auto" title="System Settings"></i>
</button></div>
<div class="navbar-item"><ul class="navbar-icon-links"
aria-label="Icon Links">
<li class="nav-item">
<a href="https://gitlab.com/slepc/slepc" title="GitLab" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><i class="fa-brands fa-square-gitlab fa-lg" aria-hidden="true"></i>
<span class="sr-only">GitLab</span></a>
</li>
<li class="nav-item">
<a href="https://www.upv.es" title="UPV" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><img src="https://www.upv.es/favicon.ico" class="icon-link-image" alt="UPV"/></a>
</li>
<li class="nav-item">
<a href="https://slepc.upv.es/release/_static/rss/slepc-news.xml" title="Feed" class="nav-link pst-navbar-icon" rel="noopener" target="_blank" data-bs-toggle="tooltip" data-bs-placement="bottom"><i class="fa-solid fa-square-rss fa-lg" aria-hidden="true"></i>
<span class="sr-only">Feed</span></a>
</li>
</ul></div>
</div>
</div>
<div class="sidebar-primary-items__start sidebar-primary__section">
<div class="sidebar-primary-item">
<nav class="bd-docs-nav bd-links"
aria-label="Section Navigation">
<p class="bd-links__title" role="heading" aria-level="1">Section Navigation</p>
<div class="bd-toc-item navbar-nav"><ul class="current nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="manual/index.html">SLEPc Users Manual</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="manual/intro.html">Getting Started</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/eps.html">EPS: Eigenvalue Problem Solver</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/st.html">ST: Spectral Transformation</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/svd.html">SVD: Singular Value Decomposition</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/pep.html">PEP: Polynomial Eigenvalue Problems</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/nep.html">NEP: Nonlinear Eigenvalue Problems</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/mfn.html">MFN: Matrix Function</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/lme.html">LME: Linear Matrix Equation</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/aux.html">Auxiliary Classes</a></li>
<li class="toctree-l2"><a class="reference internal" href="manual/extra.html">Additional Information</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="hands-on/index.html">Hands-on exercises</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on0.html">Exercise 0: Hello World</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on1.html">Exercise 1: Standard Symmetric Eigenvalue Problem</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on2.html">Exercise 2: Standard Non-Symmetric Eigenvalue Problem</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on3.html">Exercise 3: Generalized Eigenvalue Problem Stored in a File</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on4.html">Exercise 4: Singular Value Decomposition</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on5.html">Exercise 5: Problem without Explicit Matrix Storage</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on6.html">Exercise 6: Parallel Execution</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on7.html">Exercise 7: Use of Deflation Subspaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="hands-on/hands-on8.html">Exercise 8: Quadratic Eigenvalue Problem</a></li>
</ul>
</details></li>
<li class="toctree-l1 current active"><a class="current reference internal" href="#">Frequently Asked Questions</a></li>
<li class="toctree-l1"><a class="reference internal" href="presentations.html">Presentations</a></li>
<li class="toctree-l1"><a class="reference internal" href="license.html">License</a></li>
</ul>
</div>
</nav></div>
</div>
<div class="sidebar-primary-items__end sidebar-primary__section">
<div class="sidebar-primary-item">
<div id="ethical-ad-placement"
class="flat"
data-ea-publisher="readthedocs"
data-ea-type="readthedocs-sidebar"
data-ea-manual="true">
</div></div>
</div>
</div>
<main id="main-content" class="bd-main" role="main">
<div class="bd-content">
<div class="bd-article-container">
<div class="bd-header-article d-print-none">
<div class="header-article-items header-article__inner">
<div class="header-article-items__start">
<div class="header-article-item">
<nav aria-label="Breadcrumb" class="d-print-none">
<ul class="bd-breadcrumbs">
<li class="breadcrumb-item breadcrumb-home">
<a href="../index.html" class="nav-link" aria-label="Home">
<i class="fa-solid fa-home"></i>
</a>
</li>
<li class="breadcrumb-item"><a href="index.html" class="nav-link">Documentation</a></li>
<li class="breadcrumb-item active" aria-current="page"><span class="ellipsis">Frequently Asked Questions</span></li>
</ul>
</nav>
</div>
</div>
</div>
</div>
<div id="searchbox"></div>
<article class="bd-article">
<section class="tex2jax_ignore mathjax_ignore" id="frequently-asked-questions">
<h1>Frequently Asked Questions<a class="headerlink" href="#frequently-asked-questions" title="Link to this heading">#</a></h1>
<nav class="contents local" id="table-of-contents">
<p class="topic-title">Table Of Contents</p>
<ul class="simple">
<li><p><a class="reference internal" href="#where-should-i-send-slepc-bug-reports-and-questions" id="id1">1. Where should I send SLEPc bug reports and questions?</a></p></li>
<li><p><a class="reference internal" href="#is-there-a-slepc-users-mailing-list" id="id2">2. Is there a SLEPc users mailing list?</a></p></li>
<li><p><a class="reference internal" href="#how-can-i-receive-announcements-of-new-slepc-versions" id="id3">3. How can I receive announcements of new SLEPc versions?</a></p></li>
<li><p><a class="reference internal" href="#how-should-i-cite-slepc" id="id4">4. How should I cite SLEPc?</a></p></li>
<li><p><a class="reference internal" href="#apart-from-petsc-is-it-necessary-to-install-other-software-to-use-slepc" id="id5">5. Apart from PETSc, is it necessary to install other software to use SLEPc?</a></p></li>
<li><p><a class="reference internal" href="#i-do-not-see-any-speedup-when-using-more-than-one-process" id="id6">6. I do not see any speedup when using more than one process</a></p></li>
<li><p><a class="reference internal" href="#which-is-the-recommended-way-of-learning-slepc" id="id7">7. Which is the recommended way of learning SLEPc?</a></p></li>
<li><p><a class="reference internal" href="#from-3-0-0-to-3-1-the-behavior-of-shift-and-invert-has-changed" id="id8">8. From 3.0.0 to 3.1 the behavior of shift-and-invert has changed</a></p></li>
<li><p><a class="reference internal" href="#i-get-an-error-when-retrieving-the-eigenvector" id="id9">9. I get an error when retrieving the eigenvector</a></p></li>
<li><p><a class="reference internal" href="#i-get-an-error-when-running-shift-and-invert-in-parallel" id="id10">10. I get an error when running shift-and-invert in parallel</a></p></li>
<li><p><a class="reference internal" href="#building-an-application-with-cmake-or-pkg-config" id="id11">11. Building an application with CMake or pkg_config</a></p></li>
<li><p><a class="reference internal" href="#why-is-it-generally-a-bad-idea-to-use-eps-smallest-magnitude" id="id12">12. Why is it generally a bad idea to use EPS_SMALLEST_MAGNITUDE?</a></p></li>
<li><p><a class="reference internal" href="#creating-a-sparse-matrix-gets-terribly-slow-when-i-increase-the-matrix-size" id="id13">13. Creating a sparse matrix gets terribly slow when I increase the matrix size</a></p></li>
<li><p><a class="reference internal" href="#conda-forge-how-to-install-slepc4py-with-complex-scalars" id="id14">14. conda-forge: how to install slepc4py with complex scalars</a></p></li>
<li><p><a class="reference internal" href="#spack-how-to-install-slepc4py-with-complex-scalars" id="id15">15. spack: how to install slepc4py with complex scalars</a></p></li>
<li><p><a class="reference internal" href="#eigenvectors-have-nonzero-imaginary-part" id="id16">16. Eigenvectors have nonzero imaginary part</a></p></li>
</ul>
</nav>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<p><a class="reference external" href="https://petsc.org/release/faq/" target="_blank">PETSc FAQ</a>.</p>
</div>
<section id="where-should-i-send-slepc-bug-reports-and-questions">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">1. Where should I send SLEPc bug reports and questions?</a><a class="headerlink" href="#where-should-i-send-slepc-bug-reports-and-questions" title="Link to this heading">#</a></h2>
<p>Send all maintenance requests to the SLEPc developers via <a class="reference external" href="mailto:slepc-maint%40upv.es" target="_blank">slepc-maint<span>@</span>upv<span>.</span>es</a>.</p>
</section>
<section id="is-there-a-slepc-users-mailing-list">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">2. Is there a SLEPc users mailing list?</a><a class="headerlink" href="#is-there-a-slepc-users-mailing-list" title="Link to this heading">#</a></h2>
<p>No, but SLEPc-related queries can be posted in the <a class="reference external" href="https://petsc.org/release/community/mailing/" target="_blank">petsc-users mailing list</a>.</p>
</section>
<section id="how-can-i-receive-announcements-of-new-slepc-versions">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">3. How can I receive announcements of new SLEPc versions?</a><a class="headerlink" href="#how-can-i-receive-announcements-of-new-slepc-versions" title="Link to this heading">#</a></h2>
<p>You can join the slepc-announce mailing list by following the instructions in the <a class="reference internal" href="../contact/mail_list.html"><span class="doc std std-doc">Contact</span></a> section. We will update users regarding new major releases through this mailing list.</p>
<p>An alternative is to subscribe to the RSS news feed. In addition to new releases, we will also notify the publication of patches.</p>
</section>
<section id="how-should-i-cite-slepc">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">4. How should I cite SLEPc?</a><a class="headerlink" href="#how-should-i-cite-slepc" title="Link to this heading">#</a></h2>
<p>When writing a scientific paper that makes use of SLEPc, you should cite at least reference [1] in the <a class="reference internal" href="../material/index.html"><span class="doc std std-doc">list of references</span></a>. In addition, if you use specific SLEPc features (such as computational intervals) that have papers on the list, we suggest citing them as well.</p>
</section>
<section id="apart-from-petsc-is-it-necessary-to-install-other-software-to-use-slepc">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">5. Apart from PETSc, is it necessary to install other software to use SLEPc?</a><a class="headerlink" href="#apart-from-petsc-is-it-necessary-to-install-other-software-to-use-slepc" title="Link to this heading">#</a></h2>
<p>No, the only requirement to use SLEPc is to have PETSc installed on your system. Additionally, if you want to have access to eigensolvers not included in SLEPc, then you will have to install other libraries (e.g. ARPACK). See also the comment on linear solvers in FAQ #10 below.</p>
</section>
<section id="i-do-not-see-any-speedup-when-using-more-than-one-process">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">6. I do not see any speedup when using more than one process</a><a class="headerlink" href="#i-do-not-see-any-speedup-when-using-more-than-one-process" title="Link to this heading">#</a></h2>
<div class="admonition important">
<p class="admonition-title">Important</p>
<p>Does not apply for version 3.6 or later, see FAQ #10 below.</p>
</div>
<span style="color:gray">
Probably you are dealing with a generalized eigenproblem (or a standard eigenproblem with shift-and-invert) and solving the linear systems with the default direct solver. By default, SLEPc uses a direct linear solver via PETSc's `redundant` mechanism, which allows the use of direct solvers in parallel executions but is not a really parallel factorization. In order to get speedup in parallel executions, you need to configure PETSc with a parallel direct linear solver such as MUMPS. For details, see the section "Solution of Linear Systems" in SLEPc's user manual.
</span>
</section>
<section id="which-is-the-recommended-way-of-learning-slepc">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">7. Which is the recommended way of learning SLEPc?</a><a class="headerlink" href="#which-is-the-recommended-way-of-learning-slepc" title="Link to this heading">#</a></h2>
<p>Possibly, the best way of learning to use SLEPc is to follow these steps:</p>
<ul class="simple">
<li><p>First of all, get acquainted with PETSc if you are not already familiar with it (see the <a class="reference external" href="https://petsc.org/release/tutorials/" target="_blank">PETSc tutorials page</a>).</p></li>
<li><p>Read through the entire <a class="reference internal" href="manual/index.html"><span class="doc std std-doc">SLEPc Users Manual</span></a>. In a first reading, one may skip the “advanced usage” sections.</p></li>
<li><p>Follow the steps provided by the <a class="reference internal" href="hands-on/index.html"><span class="doc std std-doc">hands-on exercises</span></a>, trying the examples in an available SLEPc installation.</p></li>
<li><p>Use the example programs available in the SLEPc distribution as a basis for your own programs.</p></li>
<li><p>Use the on-line <a class="reference internal" href="../manualpages/index.html"><span class="doc std std-doc">manual pages</span></a> for reference for individual routines.</p></li>
</ul>
<p>We also provide several <a class="reference internal" href="index.html#video-tutorials"><span class="std std-ref">Video-Tutorials</span></a>.</p>
</section>
<section id="from-3-0-0-to-3-1-the-behavior-of-shift-and-invert-has-changed">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">8. From 3.0.0 to 3.1 the behavior of shift-and-invert has changed</a><a class="headerlink" href="#from-3-0-0-to-3-1-the-behavior-of-shift-and-invert-has-changed" title="Link to this heading">#</a></h2>
<p>The shift-and-invert spectral transformation (and Cayley as well) is intended for computing the eigenvalues closest to a given value <span class="math notranslate nohighlight">\(\sigma\)</span> (the shift). Those eigenvalues closest to the shift become dominant in the transformed spectrum, so in SLEPc 3.0.0 one had to use <code class="docutils notranslate"><span class="pre"><a href="../manualpages/EPS/EPSWhich.html">EPS_LARGEST_MAGNITUDE</a></span></code> (the default) for this situation. For example (the last option can be omitted because it is the default):</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>$ ./ex1 -st_type sinvert -st_shift 3.5 -eps_largest_magnitude
</pre></div>
</div>
<p>In contrast, in SLEPc 3.1 the approach is to specify the target value directly in EPS (with <code class="docutils notranslate"><span class="pre"><a href="../manualpages/EPS/EPSSetTarget.html">EPSSetTarget</a>()</span></code>) and indicate that we want to compute eigenvalues closest to the target, with <code class="docutils notranslate"><span class="pre"><a href="../manualpages/EPS/EPSWhich.html">EPS_TARGET_MAGNITUDE</a></span></code>. For example (again, the last option can be omitted):</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>$ ./ex1 -st_type sinvert -eps_target 3.5 -eps_target_magnitude
</pre></div>
</div>
<p>The value of the shift need not be provided because it is taken from the target value.</p>
<p>Note that another difference is that in 3.1 eigenvalues are returned in the correct order, that is, the first one is the closest to the target, and so on.</p>
</section>
<section id="i-get-an-error-when-retrieving-the-eigenvector">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">9. I get an error when retrieving the eigenvector</a><a class="headerlink" href="#i-get-an-error-when-retrieving-the-eigenvector" title="Link to this heading">#</a></h2>
<p>After the solver has finished, the solution can be retrieved with <code class="docutils notranslate"><span class="pre"><a href="../manualpages/EPS/EPSGetEigenpair.html">EPSGetEigenpair</a>()</span></code>. In the <code class="docutils notranslate"><span class="pre">Vr</span></code> (and <code class="docutils notranslate"><span class="pre">Vi</span></code>) argument, one can pass <code class="docutils notranslate"><span class="pre">NULL</span></code> (if the eigenvector is not required), or a <em>valid</em> <a class="reference external" href="https://petsc.org/release/manualpages/Vec/Vec/" title="(in PETSc v3.24)"><span class="xref std std-doc">Vec</span></a> object. This means the vector must have been created, for example with <a class="reference external" href="https://petsc.org/release/manualpages/Vec/VecCreate/" title="(in PETSc v3.24)"><span class="xref std std-doc">VecCreate</span></a>(), <a class="reference external" href="https://petsc.org/release/manualpages/Vec/VecDuplicate/" title="(in PETSc v3.24)"><span class="xref std std-doc">VecDuplicate</span></a>(), or <a class="reference external" href="https://petsc.org/release/manualpages/Mat/MatCreateVecs/" title="(in PETSc v3.24)"><span class="xref std std-doc">MatCreateVecs</span></a>(), see for instance <a class="reference external" href="https://slepc.upv.es/release/src/eps/tutorials/ex7.c.html" target="_blank">ex7.c</a>. The same occurs with analog functions in <code class="docutils notranslate"><span class="pre"><a href="../manualpages/SVD/SVD.html">SVD</a></span></code>, <code class="docutils notranslate"><span class="pre"><a href="../manualpages/PEP/PEP.html">PEP</a></span></code>, and <code class="docutils notranslate"><span class="pre"><a href="../manualpages/NEP/NEP.html">NEP</a></span></code>.</p>
</section>
<section id="i-get-an-error-when-running-shift-and-invert-in-parallel">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">10. I get an error when running shift-and-invert in parallel</a><a class="headerlink" href="#i-get-an-error-when-running-shift-and-invert-in-parallel" title="Link to this heading">#</a></h2>
<p>In 3.6 and later versions, the shift-and-invert spectral transformation defaults to using <code class="docutils notranslate"><span class="pre">preonly</span></code>+<code class="docutils notranslate"><span class="pre">lu</span></code> for solving linear systems. If you run with more than one MPI process this will fail, unless you use an external package for the parallel LU factorization. This is explained in section <a class="reference internal" href="manual/st.html#sec-lin"><span class="std std-ref">Solution of Linear Systems</span></a> in the Users Manual. In previous versions of SLEPc, this would not generate an error since it was using <code class="docutils notranslate"><span class="pre">redundant</span></code> rather than plain <code class="docutils notranslate"><span class="pre">lu</span></code>.</p>
</section>
<section id="building-an-application-with-cmake-or-pkg-config">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">11. Building an application with CMake or pkg_config</a><a class="headerlink" href="#building-an-application-with-cmake-or-pkg-config" title="Link to this heading">#</a></h2>
<p>SLEPc (and PETSc) provides <code class="docutils notranslate"><span class="pre">pkg_config</span></code> files that can be used from makefiles as well as from CMake files. See the discussion at <a class="gitlab reference external" href="https://gitlab.com/slepc/slepc/-/issues/19" target="_blank">Issue #19</a>.</p>
</section>
<section id="why-is-it-generally-a-bad-idea-to-use-eps-smallest-magnitude">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">12. Why is it generally a bad idea to use EPS_SMALLEST_MAGNITUDE?</a><a class="headerlink" href="#why-is-it-generally-a-bad-idea-to-use-eps-smallest-magnitude" title="Link to this heading">#</a></h2>
<p>Krylov methods (and in particular the default SLEPc eigensolver, Krylov-Schur) are good for approximating eigenvalues in the periphery of the spectrum. Assuming an eigenproblem with real eigenvalues only, the use of <code class="docutils notranslate"><span class="pre"><a href="../manualpages/EPS/EPSWhich.html">EPS_SMALLEST_MAGNITUDE</a></span></code> will be appropriate only if all eigenvalues are either positive or negative. Otherwise, the smallest magnitude eigenvalues lie in the interior of the spectrum, and therefore the convergence will likely be very slow. The usual approach for computing interior eigenvalues is the shift- and-invert spectral transformation (see <a class="reference internal" href="manual/st.html#ch-st"><span class="std std-ref">ST: Spectral Transformation</span></a> in the Users Manual). Hence, instead of <code class="docutils notranslate"><span class="pre">-eps_smallest_magnitude</span></code> one would generally prefer <code class="docutils notranslate"><span class="pre">-st_type</span> <span class="pre">sinvert</span> <span class="pre">-eps_target</span> <span class="pre">0</span></code>.</p>
</section>
<section id="creating-a-sparse-matrix-gets-terribly-slow-when-i-increase-the-matrix-size">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">13. Creating a sparse matrix gets terribly slow when I increase the matrix size</a><a class="headerlink" href="#creating-a-sparse-matrix-gets-terribly-slow-when-i-increase-the-matrix-size" title="Link to this heading">#</a></h2>
<p>Matrix preallocation is extremely important, especially for large matrices. See the <a class="reference external" href="https://petsc.org/release/manual/mat/#preallocation-of-memory-for-sequential-aij-sparse-matrices" target="_blank">chapter on matrices in the PETSc users manual</a>.</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Since PETSc version 3.19 the <a class="reference external" href="https://petsc.org/release/manualpages/Mat/Mat/" title="(in PETSc v3.24)"><span class="xref std std-doc">Mat</span></a> data structures have been changed so that the performance is reasonably good without preallocation.</p>
</div>
</section>
<section id="conda-forge-how-to-install-slepc4py-with-complex-scalars">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">14. conda-forge: how to install slepc4py with complex scalars</a><a class="headerlink" href="#conda-forge-how-to-install-slepc4py-with-complex-scalars" title="Link to this heading">#</a></h2>
<p>The following instructions can be followed to install the conda-forge variant of slepc4py with scalar type complex.</p>
<blockquote>
<div><p>Download Miniforge</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>wget<span class="w"> </span>https://github.com/conda-forge/miniforge/releases/latest/download/Miniforge3-Linux-x86_64.sh
</pre></div>
</div>
<p>Install miniforge in $HOME/miniforge</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>bash<span class="w"> </span>Miniforge3-Linux-x86_64.sh<span class="w"> </span>-b<span class="w"> </span>-p<span class="w"> </span>~/miniforge
</pre></div>
</div>
<p>Activate Miniforge base environment</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span><span class="nb">source</span><span class="w"> </span>~/miniforge/bin/activate
</pre></div>
</div>
<p>Create a new test environment with a starting package specification set. Package specification is <code class="docutils notranslate"><span class="pre"><package>=<version>==<build_string></span></code>. To request the latest version, we can use <code class="docutils notranslate"><span class="pre">*</span></code></p>
<p>For {petsc|slepc}[4py], the build string starts with either ‘real’ or ‘complex’, depending on the configured scalar type. The ‘real’ variants have a build number offset by 100, so they take precedence if a specific <code class="docutils notranslate"><span class="pre"><build_string></span></code> is not requested.</p>
<p>Long story short, we ask conda to create a new environment initally installing the complex variant of slepc4py latest version with the followng command</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>conda<span class="w"> </span>create<span class="w"> </span>--name<span class="w"> </span>testenv<span class="w"> </span><span class="nv">slepc4py</span><span class="o">=</span>*<span class="o">=</span>*complex*
</pre></div>
</div>
<p>Activate the test environment</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>conda<span class="w"> </span>activate<span class="w"> </span>testenv
</pre></div>
</div>
<p>Verify we are running the complex variant</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>python<span class="w"> </span>-c<span class="w"> </span><span class="err">'</span>
<span class="go"> from slepc4py import SLEPc</span>
<span class="go"> from petsc4py import PETSc</span>
<span class="go"> print(PETSc.ScalarType)</span>
<span class="go">'</span>
</pre></div>
</div>
</div></blockquote>
</section>
<section id="spack-how-to-install-slepc4py-with-complex-scalars">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">15. spack: how to install slepc4py with complex scalars</a><a class="headerlink" href="#spack-how-to-install-slepc4py-with-complex-scalars" title="Link to this heading">#</a></h2>
<p>Make sure you select the <code class="docutils notranslate"><span class="pre">petsc+complex</span></code> variant:</p>
<div class="highlight-console notranslate"><div class="highlight"><pre><span></span><span class="gp">$ </span>spack<span class="w"> </span>install<span class="w"> </span>py-slepc4py<span class="w"> </span>^petsc+complex
</pre></div>
</div>
<p>This will install PETSc with complex scalars, together with SLEPc as well as petsc4py and slepc4py. Before that, you can also do <code class="docutils notranslate"><span class="pre">spack</span> <span class="pre">spec</span> <span class="pre">py-slepc4py</span> <span class="pre">^petsc+complex</span></code> to check what it is going to install.</p>
</section>
<section id="eigenvectors-have-nonzero-imaginary-part">
<h2><a class="toc-backref" href="#table-of-contents" role="doc-backlink">16. Eigenvectors have nonzero imaginary part</a><a class="headerlink" href="#eigenvectors-have-nonzero-imaginary-part" title="Link to this heading">#</a></h2>
<p>A real symmetric matrix has real eigenvectors, but when building SLEPc with complex scalars the computed eigenvectors have nonzero imaginary part. The rationale is the following. In real scalars, if <span class="math notranslate nohighlight">\(x\)</span> is a unit-norm eigenvector then <span class="math notranslate nohighlight">\(-x\)</span> is also a valid eigenvector. In complex scalars, if <span class="math notranslate nohighlight">\(x\)</span> is a unit-norm eigenvector then <span class="math notranslate nohighlight">\(\alpha x\)</span> is also a valid eigenvector, where <span class="math notranslate nohighlight">\(\alpha\)</span> is a generalized sign, i.e., <span class="math notranslate nohighlight">\(\alpha=\exp(\theta j)\)</span> for any <span class="math notranslate nohighlight">\(\theta\)</span>. So if one wants the imaginary part to be zero, the eigenvectors returned by SLEPc must be normalized a posteriori, as is done for example in <a class="reference external" href="https://slepc.upv.es/release/src/eps/tutorials/ex20.c.html" target="_blank">ex20.c</a> (or the equivalent python example <code class="docutils notranslate"><span class="pre">ex7.py</span></code>). SLEPc does not know if the input matrix is real or complex, so it cannot normalize the vectors internally.</p>
<p>Note that the simple scaling strategy shown in those examples will not be sufficient in case of degenerate eigenvalues, i.e., eigenvalues with multiplicity larger than one.</p>
</section>
</section>
</article>
<footer class="prev-next-footer d-print-none">
<div class="prev-next-area">
<a class="left-prev"
href="hands-on/hands-on8.html"
title="previous page">
<i class="fa-solid fa-angle-left"></i>
<div class="prev-next-info">
<p class="prev-next-subtitle">previous</p>
<p class="prev-next-title">Exercise 8: Quadratic Eigenvalue Problem</p>
</div>
</a>
<a class="right-next"
href="presentations.html"
title="next page">
<div class="prev-next-info">
<p class="prev-next-subtitle">next</p>
<p class="prev-next-title">Presentations</p>
</div>
<i class="fa-solid fa-angle-right"></i>
</a>
</div>
</footer>
</div>
<dialog id="pst-secondary-sidebar-modal"></dialog>
<div id="pst-secondary-sidebar" class="bd-sidebar-secondary bd-toc"><div class="sidebar-secondary-items sidebar-secondary__inner">
<div class="sidebar-secondary-item">
<div
id="pst-page-navigation-heading-2"
class="page-toc tocsection onthispage">
<i class="fa-solid fa-list"></i> On this page
</div>
<nav class="bd-toc-nav page-toc" aria-labelledby="pst-page-navigation-heading-2">
<ul class="visible nav section-nav flex-column">
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#where-should-i-send-slepc-bug-reports-and-questions">1. Where should I send SLEPc bug reports and questions?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#is-there-a-slepc-users-mailing-list">2. Is there a SLEPc users mailing list?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#how-can-i-receive-announcements-of-new-slepc-versions">3. How can I receive announcements of new SLEPc versions?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#how-should-i-cite-slepc">4. How should I cite SLEPc?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#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?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#i-do-not-see-any-speedup-when-using-more-than-one-process">6. I do not see any speedup when using more than one process</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#which-is-the-recommended-way-of-learning-slepc">7. Which is the recommended way of learning SLEPc?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#from-3-0-0-to-3-1-the-behavior-of-shift-and-invert-has-changed">8. From 3.0.0 to 3.1 the behavior of shift-and-invert has changed</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#i-get-an-error-when-retrieving-the-eigenvector">9. I get an error when retrieving the eigenvector</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#i-get-an-error-when-running-shift-and-invert-in-parallel">10. I get an error when running shift-and-invert in parallel</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#building-an-application-with-cmake-or-pkg-config">11. Building an application with CMake or pkg_config</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#why-is-it-generally-a-bad-idea-to-use-eps-smallest-magnitude">12. Why is it generally a bad idea to use EPS_SMALLEST_MAGNITUDE?</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#creating-a-sparse-matrix-gets-terribly-slow-when-i-increase-the-matrix-size">13. Creating a sparse matrix gets terribly slow when I increase the matrix size</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#conda-forge-how-to-install-slepc4py-with-complex-scalars">14. conda-forge: how to install slepc4py with complex scalars</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#spack-how-to-install-slepc4py-with-complex-scalars">15. spack: how to install slepc4py with complex scalars</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#eigenvectors-have-nonzero-imaginary-part">16. Eigenvectors have nonzero imaginary part</a></li>
</ul>
</nav></div>
<div class="sidebar-secondary-item">
<div class="tocsection editthispage">
<a href="https://gitlab.com/slepc/slepc/-/edit/release/doc/source/documentation/faq.md">
<i class="fa-solid fa-pencil"></i>
Edit on GitLab
</a>
</div>
</div>
<div class="sidebar-secondary-item">
<div role="note" aria-label="source link">
<h3>This Page</h3>
<ul class="this-page-menu">
<li><a href="../_sources/documentation/faq.md.txt"
rel="nofollow">Show Source</a></li>
</ul>
</div></div>
</div></div>
</div>
<footer class="bd-footer-content">
</footer>
</main>
</div>
</div>
<!-- Scripts loaded after <body> so the DOM is not blocked -->
<script defer src="../_static/scripts/bootstrap.js?digest=8878045cc6db502f8baf"></script>
<script defer src="../_static/scripts/pydata-sphinx-theme.js?digest=8878045cc6db502f8baf"></script>
<footer class="bd-footer">
<div class="bd-footer__inner bd-page-width">
<div class="footer-items__start">
<div class="footer-item">
<p class="copyright">
© Copyright 2002-2025, Universitat Politecnica de Valencia, Spain.
<br/>
</p>
</div>
<div class="footer-item">
<p class="sphinx-version">
Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.3.7.
<br/>
</p>
</div>
</div>
<div class="footer-items__end">
<div class="footer-item">
<p class="theme-version">
<!-- # L10n: Setting the PST URL as an argument as this does not need to be localized -->
Built with the <a href="https://pydata-sphinx-theme.readthedocs.io/en/stable/index.html">PyData Sphinx Theme</a> 0.16.1.
</p></div>
</div>
</div>
</footer>
</body>
</html>
|
