sormtr (3p)

Name

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

Synopsis

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

CHARACTER*1 SIDE, UPLO, TRANS
INTEGER M, N, LDA, LDC, LWORK, INFO
REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)

SUBROUTINE SORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC,
WORK, LWORK, INFO)

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




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

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

SUBROUTINE ORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void  sormtr_64(char side, char uplo, char trans, long m, long n, float
*a, long lda, float *tau, float *c, long ldc, long *info);

Description

Oracle Solaris Studio Performance Library                           sormtr(3P)



NAME
       sormtr  - 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 SORMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK,
             LWORK, INFO)

       CHARACTER*1 SIDE, UPLO, TRANS
       INTEGER M, N, LDA, LDC, LWORK, INFO
       REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)

       SUBROUTINE SORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC,
             WORK, LWORK, INFO)

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




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

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

       SUBROUTINE ORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C,
              LDC, WORK, LWORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void  sormtr_64(char side, char uplo, char trans, long m, long n, float
                 *a, long lda, float *tau, float *c, long ldc, long *info);



PURPOSE
       sormtr 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 of order nq, with nq = m if SIDE  =
       'L'  and nq = n if SIDE = 'R'. Q is defined as the product of nq-1 ele-
       mentary reflectors, as returned by SSYTRD:

       if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

       if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).


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


       UPLO (input)
                 = 'U': Upper triangle of  A  contains  elementary  reflectors
                 from SSYTRD;
                 =  'L':  Lower  triangle  of A contains elementary reflectors
                 from SSYTRD.


       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.


       A (input)
                 dimension
                 (LDA,M) if SIDE = 'L'
                 (LDA,N) if SIDE = 'R'
                 The  vectors  which  define  the  elementary  reflectors,  as
                 returned by SSYTRD.


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


       TAU (input)
                 dimension
                 (M-1) if SIDE = 'L'
                 (N-1) if SIDE = 'R'
                 TAU(i) must contain  the  scalar  factor  of  the  elementary
                 reflector H(i), as returned by SSYTRD.


       C (input/output)
                 dimension (LDC,N)
                 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)
                 dimension (LWORK)
                 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 performance LWORK >= N*NB  if  SIDE  =  'L',  and
                 LWORK  >=  M*NB if SIDE = 'R', where NB is the optimal block-
                 size.

                 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                        sormtr(3P)