dormrq (3p)

Name

dormrq - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q.

Synopsis

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

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

SUBROUTINE DORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
LWORK, INFO)

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




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

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

SUBROUTINE ORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void  dormrq_64(char  side,  char trans, long m, long n, long k, double
*a, long lda, double *tau, double *c, long ldc, long *info);

Description

Oracle Solaris Studio Performance Library                           dormrq(3P)



NAME
       dormrq  - overwrite the general real M-by-N matrix C with Q*C or Q**T*C
       or C*Q**T or C*Q.


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

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

       SUBROUTINE DORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK,
             LWORK, INFO)

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




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

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

       SUBROUTINE ORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C,
              LDC, WORK, LWORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void  dormrq_64(char  side,  char trans, long m, long n, long k, double
                 *a, long lda, double *tau, double *c, long ldc, long *info);



PURPOSE
       dormrq overwrites the general real M-by-N matrix C with

                       SIDE = 'L'     SIDE = 'R'
       TRANS = 'N':      Q * C          C * Q
       TRANS = 'T':      Q**T * C       C * Q**T

       where Q is a real orthogonal matrix defined as the product of k elemen-
       tary reflectors

             Q = H(1) H(2) . . . H(k)

       as  returned by DGERQF. Q is of order M if SIDE = 'L' and of order N if
       SIDE = 'R'.


ARGUMENTS
       SIDE (input)
                 = 'L': apply Q or Q**T from the Left;
                 = 'R': apply Q or Q**T from the Right.


       TRANS (input)
                 = 'N':  No transpose, apply Q;
                 = 'T':  Transpose, apply Q**T.


       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  DGERQF  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 DGERQF.


       C (input/output)
                 On  entry, the M-by-N matrix C.  On exit, C is overwritten by
                 Q*C or Q**T*C or C*Q**T 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                        dormrq(3P)