sormql (3p)

Name

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

Synopsis

SUBROUTINE SORMQL(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
REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)

SUBROUTINE SORMQL_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
REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)




F95 INTERFACE
SUBROUTINE ORMQL(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, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A, C

SUBROUTINE ORMQL_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, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A, C




C INTERFACE
#include <sunperf.h>

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

void sormql_64(char side, char trans, long m, long n, long k, float *a,
long lda, float *tau, float *c, long ldc, long *info);

Description

Oracle Solaris Studio Performance Library                           sormql(3P)



NAME
       sormql  - 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 SORMQL(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
       REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)

       SUBROUTINE SORMQL_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
       REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)




   F95 INTERFACE
       SUBROUTINE ORMQL(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, DIMENSION(:) :: TAU, WORK
       REAL, DIMENSION(:,:) :: A, C

       SUBROUTINE ORMQL_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, DIMENSION(:) :: TAU, WORK
       REAL, DIMENSION(:,:) :: A, C




   C INTERFACE
       #include <sunperf.h>

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

       void sormql_64(char side, char trans, long m, long n, long k, float *a,
                 long lda, float *tau, float *c, long ldc, long *info);



PURPOSE
       sormql 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(k) . . . H(2) H(1)

       as  returned by SGEQLF. 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) The i-th column must contain the  vector  which  defines  the
                 elementary  reflector H(i), for i = 1,2,...,k, as returned by
                 SGEQLF in the last k columns of its array argument A.   A  is
                 modified by the routine but restored on exit.


       LDA (input)
                 The  leading dimension of the array A.  If SIDE = 'L', LDA >=
                 max(1,M); if SIDE = 'R', LDA >= max(1,N).


       TAU (input)
                 TAU(i) must contain  the  scalar  factor  of  the  elementary
                 reflector H(i), as returned by SGEQLF.


       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                        sormql(3P)