SRC/zunm2r.f(3) | Library Functions Manual | SRC/zunm2r.f(3) |
NAME
SRC/zunm2r.f
SYNOPSIS
Functions/Subroutines
subroutine zunm2r (side, trans, m, n, k, a, lda, tau, c,
ldc, work, info)
ZUNM2R multiplies a general matrix by the unitary matrix from a QR
factorization determined by cgeqrf (unblocked algorithm).
Function/Subroutine Documentation
subroutine zunm2r (character side, character trans, integer m, integer n, integer k, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work, integer info)
ZUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf (unblocked algorithm).
Purpose:
!> !> ZUNM2R overwrites the general complex m-by-n matrix C with !> !> Q * C if SIDE = 'L' and TRANS = 'N', or !> !> Q**H* C if SIDE = 'L' and TRANS = 'C', or !> !> C * Q if SIDE = 'R' and TRANS = 'N', or !> !> C * Q**H if SIDE = 'R' and TRANS = 'C', !> !> where Q is a complex unitary matrix defined as the product of k !> elementary reflectors !> !> Q = H(1) H(2) . . . H(k) !> !> as returned by ZGEQRF. 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': apply Q (No transpose) !> = 'C': apply Q**H (Conjugate transpose) !>
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. !>
A
!> A is COMPLEX*16 array, dimension (LDA,K) !> The i-th column must contain the vector which defines the !> elementary reflector H(i), for i = 1,2,...,k, as returned by !> ZGEQRF in the first k columns of its array argument A. !> A is modified by the routine but restored on exit. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. !> If SIDE = 'L', LDA >= max(1,M); !> if SIDE = 'R', LDA >= max(1,N). !>
TAU
!> TAU is COMPLEX*16 array, dimension (K) !> TAU(i) must contain the scalar factor of the elementary !> reflector H(i), as returned by ZGEQRF. !>
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 or Q**H*C or 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, dimension !> (N) if SIDE = 'L', !> (M) 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 157 of file zunm2r.f.
Author
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