table of contents
| /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dlaeda.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dlaeda.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dlaeda.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DLAEDA (n, tlvls, curlvl, curpbm, prmptr, perm,
givptr, givcol, givnum, q, qptr, z, ztemp, info)
DLAEDA used by DSTEDC. Computes the Z vector determining the rank-one
modification of the diagonal matrix. Used when the original matrix is dense.
Function/Subroutine Documentation¶
subroutine DLAEDA (integer n, integer tlvls, integer curlvl, integer curpbm, integer, dimension( * ) prmptr, integer, dimension( * ) perm, integer, dimension( * ) givptr, integer, dimension( 2, * ) givcol, double precision, dimension( 2, * ) givnum, double precision, dimension( * ) q, integer, dimension( * ) qptr, double precision, dimension( * ) z, double precision, dimension( * ) ztemp, integer info)¶
DLAEDA used by DSTEDC. Computes the Z vector determining the rank-one modification of the diagonal matrix. Used when the original matrix is dense.
Purpose:
!> !> DLAEDA computes the Z vector corresponding to the merge step in the !> CURLVLth step of the merge process with TLVLS steps for the CURPBMth !> problem. !>
Parameters
!> N is INTEGER !> The dimension of the symmetric tridiagonal matrix. N >= 0. !>
TLVLS
!> TLVLS is INTEGER !> The total number of merging levels in the overall divide and !> conquer tree. !>
CURLVL
!> CURLVL is INTEGER !> The current level in the overall merge routine, !> 0 <= curlvl <= tlvls. !>
CURPBM
!> CURPBM is INTEGER !> The current problem in the current level in the overall !> merge routine (counting from upper left to lower right). !>
PRMPTR
!> PRMPTR is INTEGER array, dimension (N lg N) !> Contains a list of pointers which indicate where in PERM a !> level's permutation is stored. PRMPTR(i+1) - PRMPTR(i) !> indicates the size of the permutation and incidentally the !> size of the full, non-deflated problem. !>
PERM
!> PERM is INTEGER array, dimension (N lg N) !> Contains the permutations (from deflation and sorting) to be !> applied to each eigenblock. !>
GIVPTR
!> GIVPTR is INTEGER array, dimension (N lg N) !> Contains a list of pointers which indicate where in GIVCOL a !> level's Givens rotations are stored. GIVPTR(i+1) - GIVPTR(i) !> indicates the number of Givens rotations. !>
GIVCOL
!> GIVCOL is INTEGER array, dimension (2, N lg N) !> Each pair of numbers indicates a pair of columns to take place !> in a Givens rotation. !>
GIVNUM
!> GIVNUM is DOUBLE PRECISION array, dimension (2, N lg N) !> Each number indicates the S value to be used in the !> corresponding Givens rotation. !>
Q
!> Q is DOUBLE PRECISION array, dimension (N**2) !> Contains the square eigenblocks from previous levels, the !> starting positions for blocks are given by QPTR. !>
QPTR
!> QPTR is INTEGER array, dimension (N+2) !> Contains a list of pointers which indicate where in Q an !> eigenblock is stored. SQRT( QPTR(i+1) - QPTR(i) ) indicates !> the size of the block. !>
Z
!> Z is DOUBLE PRECISION array, dimension (N) !> On output this vector contains the updating vector (the last !> row of the first sub-eigenvector matrix and the first row of !> the second sub-eigenvector matrix). !>
ZTEMP
!> ZTEMP is DOUBLE PRECISION array, dimension (N) !>
INFO
!> INFO is INTEGER !> = 0: successful exit. !> < 0: if INFO = -i, the i-th argument had an illegal value. !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
Definition at line 164 of file dlaeda.f.
Author¶
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