SRC/zgemqrt.f(3) | Library Functions Manual | SRC/zgemqrt.f(3) |
NAME
SRC/zgemqrt.f
SYNOPSIS
Functions/Subroutines
subroutine zgemqrt (side, trans, m, n, k, nb, v, ldv, t,
ldt, c, ldc, work, info)
ZGEMQRT
Function/Subroutine Documentation
subroutine zgemqrt (character side, character trans, integer m, integer n, integer k, integer nb, complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension( ldt, * ) t, integer ldt, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work, integer info)
ZGEMQRT
Purpose:
!> !> ZGEMQRT overwrites the general complex M-by-N matrix C with !> !> SIDE = 'L' SIDE = 'R' !> TRANS = 'N': Q C C Q !> TRANS = 'C': Q**H C C Q**H !> !> where Q is a complex orthogonal matrix defined as the product of K !> elementary reflectors: !> !> Q = H(1) H(2) . . . H(K) = I - V T V**H !> !> generated using the compact WY representation as returned by ZGEQRT. !> !> Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. !>
Parameters
SIDE
!> SIDE is CHARACTER*1 !> = 'L': apply Q or Q**H from the Left; !> = 'R': apply Q or Q**H from the Right. !>
TRANS
!> TRANS is CHARACTER*1 !> = 'N': No transpose, apply Q; !> = 'C': Conjugate transpose, apply Q**H. !>
M
!> M is INTEGER !> The number of rows of the matrix C. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix C. N >= 0. !>
K
!> K is INTEGER !> The number of elementary reflectors whose product defines !> the matrix Q. !> If SIDE = 'L', M >= K >= 0; !> if SIDE = 'R', N >= K >= 0. !>
NB
!> NB is INTEGER !> The block size used for the storage of T. K >= NB >= 1. !> This must be the same value of NB used to generate T !> in ZGEQRT. !>
V
!> V is COMPLEX*16 array, dimension (LDV,K) !> The i-th column must contain the vector which defines the !> elementary reflector H(i), for i = 1,2,...,k, as returned by !> ZGEQRT in the first K columns of its array argument A. !>
LDV
!> LDV is INTEGER !> The leading dimension of the array V. !> If SIDE = 'L', LDA >= max(1,M); !> if SIDE = 'R', LDA >= max(1,N). !>
T
!> T is COMPLEX*16 array, dimension (LDT,K) !> The upper triangular factors of the block reflectors !> as returned by ZGEQRT, stored as a NB-by-N matrix. !>
LDT
!> LDT is INTEGER !> The leading dimension of the array T. LDT >= NB. !>
C
!> C is COMPLEX*16 array, dimension (LDC,N) !> On entry, the M-by-N matrix C. !> On exit, C is overwritten by Q C, Q**H C, C Q**H or C Q. !>
LDC
!> LDC is INTEGER !> The leading dimension of the array C. LDC >= max(1,M). !>
WORK
!> WORK is COMPLEX*16 array. The dimension of WORK is !> N*NB if SIDE = 'L', or M*NB if SIDE = 'R'. !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 166 of file zgemqrt.f.
Author
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