zunmrq (3p)

Name

zunmrq - N matrix C with Q*C, or Q**H*C, or C*Q**H, or C*Q, where Q is a complex unitary matrix defined as the product of K elementary reflectors

Synopsis

SUBROUTINE ZUNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
LWORK, INFO)

CHARACTER*1 SIDE, TRANS
DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
INTEGER M, N, K, LDA, LDC, LWORK, INFO

SUBROUTINE ZUNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
LWORK, INFO)

CHARACTER*1 SIDE, TRANS
DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO




F95 INTERFACE
SUBROUTINE UNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
WORK, LWORK, INFO)

CHARACTER(LEN=1) :: SIDE, TRANS
COMPLEX(8), DIMENSION(:) :: TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: A, C
INTEGER :: M, N, K, LDA, LDC, LWORK, INFO

SUBROUTINE UNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

CHARACTER(LEN=1) :: SIDE, TRANS
COMPLEX(8), DIMENSION(:) :: TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: A, C
INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO




C INTERFACE
#include <sunperf.h>

void  zunmrq(char  side, char trans, int m, int n, int k, doublecomplex
*a, int lda, doublecomplex *tau, doublecomplex *c,  int  ldc,
int *info);

void  zunmrq_64(char  side, char trans, long m, long n, long k, double-
complex *a, long lda, doublecomplex *tau,  doublecomplex  *c,
long ldc, long *info);

Description

Oracle Solaris Studio Performance Library                           zunmrq(3P)



NAME
       zunmrq  -  overwrite  the  general complex M-by-N matrix C with Q*C, or
       Q**H*C, or C*Q**H, or C*Q, where Q is a complex unitary matrix  defined
       as the product of K elementary reflectors


SYNOPSIS
       SUBROUTINE ZUNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
             LWORK, INFO)

       CHARACTER*1 SIDE, TRANS
       DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
       INTEGER M, N, K, LDA, LDC, LWORK, INFO

       SUBROUTINE ZUNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
             LWORK, INFO)

       CHARACTER*1 SIDE, TRANS
       DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
       INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO




   F95 INTERFACE
       SUBROUTINE UNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
              WORK, LWORK, INFO)

       CHARACTER(LEN=1) :: SIDE, TRANS
       COMPLEX(8), DIMENSION(:) :: TAU, WORK
       COMPLEX(8), DIMENSION(:,:) :: A, C
       INTEGER :: M, N, K, LDA, LDC, LWORK, INFO

       SUBROUTINE UNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C,
              LDC, WORK, LWORK, INFO)

       CHARACTER(LEN=1) :: SIDE, TRANS
       COMPLEX(8), DIMENSION(:) :: TAU, WORK
       COMPLEX(8), DIMENSION(:,:) :: A, C
       INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO




   C INTERFACE
       #include <sunperf.h>

       void  zunmrq(char  side, char trans, int m, int n, int k, doublecomplex
                 *a, int lda, doublecomplex *tau, doublecomplex *c,  int  ldc,
                 int *info);

       void  zunmrq_64(char  side, char trans, long m, long n, long k, double-
                 complex *a, long lda, doublecomplex *tau,  doublecomplex  *c,
                 long ldc, long *info);



PURPOSE
       zunmrq 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 unitary matrix defined as the product of K elemen-
       tary reflectors

             Q = H(1)**H * H(2)**H . . . H(K)**H

       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**H from the Left;
                 = 'R': apply Q or Q**H from the Right.


       TRANS (input)
                 = 'N':  No transpose, apply Q;
                 = 'C':  Transpose, apply Q**H.


       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**H*C or C*Q**H or C*Q.


       LDC (input)
                 The leading dimension of the array C. LDC >= max(1,M).


       WORK (workspace)
                 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.


       LWORK (input)
                 The  dimension  of  the  array WORK.  If SIDE = 'L', LWORK >=
                 max(1,N); if SIDE = 'R', LWORK >= max(1,M).  For optimum per-
                 formance  LWORK  >=  N*NB if SIDE = 'L', and LWORK >= M*NB if
                 SIDE = 'R', where NB is the optimal blocksize.

                 If LWORK = -1, then a workspace query is assumed; the routine
                 only  calculates  the optimal size of the WORK array, returns
                 this value as the first entry of the WORK array, and no error
                 message related to LWORK is issued by XERBLA.


       INFO (output)
                 = 0:  successful exit;
                 < 0:  if INFO = -i, the i-th argument had an illegal value.




                                  7 Nov 2015                        zunmrq(3P)