zunmlq (3p)

Name

zunmlq - 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 ZUNMLQ(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 ZUNMLQ_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 UNMLQ(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 UNMLQ_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  zunmlq(char  side, char trans, int m, int n, int k, doublecomplex
*a, int lda, doublecomplex *tau, doublecomplex *c,  int  ldc,
int *info);

void  zunmlq_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                           zunmlq(3P)



NAME
       zunmlq  -  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 ZUNMLQ(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 ZUNMLQ_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 UNMLQ(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 UNMLQ_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  zunmlq(char  side, char trans, int m, int n, int k, doublecomplex
                 *a, int lda, doublecomplex *tau, doublecomplex *c,  int  ldc,
                 int *info);

       void  zunmlq_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
       zunmlq 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(k)**H . . . H(2)**H * H(1)**H

       as returned by ZGELQF. 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':  Conjugate 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 ZGELQF in the
                 first 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 ZGELQF.


       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                        zunmlq(3P)