zunmr2(3P) Sun Performance Library zunmr2(3P)NAMEzunmr2 - overwrite the general complex m-by-n matrix C with Q * C if
SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C',
or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and
TRANS = 'C',
SYNOPSIS
SUBROUTINE ZUNMR2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
INFO)
CHARACTER * 1 SIDE, TRANS
DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
INTEGER M, N, K, LDA, LDC, INFO
SUBROUTINE ZUNMR2_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
INFO)
CHARACTER * 1 SIDE, TRANS
DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
INTEGER*8 M, N, K, LDA, LDC, INFO
F95 INTERFACE
SUBROUTINE UNMR2(SIDE, TRANS, [M], [N], [K], A, [LDA], TAU, C, [LDC],
[WORK], [INFO])
CHARACTER(LEN=1) :: SIDE, TRANS
COMPLEX(8), DIMENSION(:) :: TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: A, C
INTEGER :: M, N, K, LDA, LDC, INFO
SUBROUTINE UNMR2_64(SIDE, TRANS, [M], [N], [K], A, [LDA], TAU, C,
[LDC], [WORK], [INFO])
CHARACTER(LEN=1) :: SIDE, TRANS
COMPLEX(8), DIMENSION(:) :: TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: A, C
INTEGER(8) :: M, N, K, LDA, LDC, INFO
C INTERFACE
#include <sunperf.h>
void zunmr2(char side, char trans, int m, int n, int k, doublecomplex
*a, int lda, doublecomplex *tau, doublecomplex *c, int ldc,
int *info);
void zunmr2_64(char side, char trans, long m, long n, long k, double‐
complex *a, long lda, doublecomplex *tau, doublecomplex *c,
long ldc, long *info);
PURPOSEzunmr2 overwrites the general complex m-by-n matrix C with
where Q is a complex unitary matrix defined as the product of k elemen‐
tary reflectors
Q = H(1)' H(2)' . . . H(k)'
as returned by ZGERQF. Q is of order m if SIDE = 'L' and of order n if
SIDE = 'R'.
ARGUMENTS
SIDE (input)
= 'L': apply Q or Q' from the Left
= 'R': apply Q or Q' from the Right
TRANS (input)
= 'N': apply Q (No transpose)
= 'C': apply Q' (Conjugate transpose)
M (input) The number of rows of the matrix C. M >= 0.
N (input) The number of columns of the matrix C. N >= 0.
K (input) The number of elementary reflectors whose product defines the
matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K
>= 0.
A (input) (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row
must contain the vector which defines the elementary reflec‐
tor H(i), for i = 1,2,...,k, as returned by ZGERQF in the
last k rows of its array argument A. A is modified by the
routine but restored on exit.
LDA (input)
The leading dimension of the array A. LDA >= max(1,K).
TAU (input)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZGERQF.
C (input/output)
On entry, the m-by-n matrix C. On exit, C is overwritten by
Q*C or Q'*C or C*Q' or C*Q.
LDC (input)
The leading dimension of the array C. LDC >= max(1,M).
WORK (workspace)
(N) if SIDE = 'L', (M) if SIDE = 'R'
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
6 Mar 2009 zunmr2(3P)
