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---
:name: slaeda
:md5sum: 24a9751e7a3bb6e15256dfe9218457ca
:category: :subroutine
:arguments:
- n:
:type: integer
:intent: input
- tlvls:
:type: integer
:intent: input
- curlvl:
:type: integer
:intent: input
- curpbm:
:type: integer
:intent: input
- prmptr:
:type: integer
:intent: input
:dims:
- n*LG(n)
- perm:
:type: integer
:intent: input
:dims:
- n*LG(n)
- givptr:
:type: integer
:intent: input
:dims:
- n*LG(n)
- givcol:
:type: integer
:intent: input
:dims:
- "2"
- n*LG(n)
- givnum:
:type: real
:intent: input
:dims:
- "2"
- n*LG(n)
- q:
:type: real
:intent: input
:dims:
- pow(n,2)
- qptr:
:type: integer
:intent: input
:dims:
- ldqptr
- z:
:type: real
:intent: output
:dims:
- n
- ztemp:
:type: real
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions:
n: ldqptr-2
:fortran_help: " SUBROUTINE SLAEDA( N, TLVLS, CURLVL, CURPBM, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, Q, QPTR, Z, ZTEMP, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SLAEDA computes the Z vector corresponding to the merge step in the\n\
* CURLVLth step of the merge process with TLVLS steps for the CURPBMth\n\
* problem.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* N (input) INTEGER\n\
* The dimension of the symmetric tridiagonal matrix. N >= 0.\n\
*\n\
* TLVLS (input) INTEGER\n\
* The total number of merging levels in the overall divide and\n\
* conquer tree.\n\
*\n\
* CURLVL (input) INTEGER\n\
* The current level in the overall merge routine,\n\
* 0 <= curlvl <= tlvls.\n\
*\n\
* CURPBM (input) INTEGER\n\
* The current problem in the current level in the overall\n\
* merge routine (counting from upper left to lower right).\n\
*\n\
* PRMPTR (input) INTEGER array, dimension (N lg N)\n\
* Contains a list of pointers which indicate where in PERM a\n\
* level's permutation is stored. PRMPTR(i+1) - PRMPTR(i)\n\
* indicates the size of the permutation and incidentally the\n\
* size of the full, non-deflated problem.\n\
*\n\
* PERM (input) INTEGER array, dimension (N lg N)\n\
* Contains the permutations (from deflation and sorting) to be\n\
* applied to each eigenblock.\n\
*\n\
* GIVPTR (input) INTEGER array, dimension (N lg N)\n\
* Contains a list of pointers which indicate where in GIVCOL a\n\
* level's Givens rotations are stored. GIVPTR(i+1) - GIVPTR(i)\n\
* indicates the number of Givens rotations.\n\
*\n\
* GIVCOL (input) INTEGER array, dimension (2, N lg N)\n\
* Each pair of numbers indicates a pair of columns to take place\n\
* in a Givens rotation.\n\
*\n\
* GIVNUM (input) REAL array, dimension (2, N lg N)\n\
* Each number indicates the S value to be used in the\n\
* corresponding Givens rotation.\n\
*\n\
* Q (input) REAL array, dimension (N**2)\n\
* Contains the square eigenblocks from previous levels, the\n\
* starting positions for blocks are given by QPTR.\n\
*\n\
* QPTR (input) INTEGER array, dimension (N+2)\n\
* Contains a list of pointers which indicate where in Q an\n\
* eigenblock is stored. SQRT( QPTR(i+1) - QPTR(i) ) indicates\n\
* the size of the block.\n\
*\n\
* Z (output) REAL array, dimension (N)\n\
* On output this vector contains the updating vector (the last\n\
* row of the first sub-eigenvector matrix and the first row of\n\
* the second sub-eigenvector matrix).\n\
*\n\
* ZTEMP (workspace) REAL array, dimension (N)\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit.\n\
* < 0: if INFO = -i, the i-th argument had an illegal value.\n\
*\n\n\
* Further Details\n\
* ===============\n\
*\n\
* Based on contributions by\n\
* Jeff Rutter, Computer Science Division, University of California\n\
* at Berkeley, USA\n\
*\n\
* =====================================================================\n\
*\n"
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