cunmhr (3p)

Name

cunmhr - N matrix C with Q*C or Q**H*C or C*Q**H or C*Q

Synopsis

SUBROUTINE CUNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC,
WORK, LWORK, INFO)

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

SUBROUTINE CUNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

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




F95 INTERFACE
SUBROUTINE UNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

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

SUBROUTINE UNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU,
C, LDC, WORK, LWORK, INFO)

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




C INTERFACE
#include <sunperf.h>

void cunmhr(char side, char trans, int m, int n, int ilo, int ihi, com-
plex  *a,  int  lda,  complex  *tau, complex *c, int ldc, int
*info);

void cunmhr_64(char side, char trans, long m, long n,  long  ilo,  long
ihi,  complex  *a,  long  lda, complex *tau, complex *c, long
ldc, long *info);

Description

Oracle Solaris Studio Performance Library                           cunmhr(3P)



NAME
       cunmhr  -  overwrite  the  general  complex M-by-N matrix C with Q*C or
       Q**H*C or C*Q**H or C*Q


SYNOPSIS
       SUBROUTINE CUNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC,
             WORK, LWORK, INFO)

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

       SUBROUTINE CUNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
             LDC, WORK, LWORK, INFO)

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




   F95 INTERFACE
       SUBROUTINE UNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
              LDC, WORK, LWORK, INFO)

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

       SUBROUTINE UNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU,
              C, LDC, WORK, LWORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void cunmhr(char side, char trans, int m, int n, int ilo, int ihi, com-
                 plex  *a,  int  lda,  complex  *tau, complex *c, int ldc, int
                 *info);

       void cunmhr_64(char side, char trans, long m, long n,  long  ilo,  long
                 ihi,  complex  *a,  long  lda, complex *tau, complex *c, long
                 ldc, long *info);



PURPOSE
       cunmhr 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 of order nq, with nq = m if SIDE  =
       'L'  and  nq  = n if SIDE = 'R'. Q is defined as the product of IHI-ILO
       elementary reflectors, as returned by CGEHRD:

       Q = H(ilo) * H(ilo+1) . . . H(ihi-1).


ARGUMENTS
       SIDE (input)
                 = 'L': apply Q or Q**H from the Left;
                 = 'R': apply Q or Q**H from the Right.


       TRANS (input)
                 = 'N': apply Q  (No transpose)
                 = 'C': apply Q**H (Conjugate transpose)


       M (input) The number of rows of the matrix C. M >= 0.


       N (input) The number of columns of the matrix C. N >= 0.


       ILO (input)
                 ILO and IHI must have the same values as in the previous call
                 of CGEHRD. Q is equal to the unit matrix except in the subma-
                 trix Q(ilo+1:ihi,ilo+1:ihi).  If SIDE = 'L', then 1 <= ILO <=
                 IHI  <=  M,  if  M > 0, and ILO = 1 and IHI = 0, if M = 0; if
                 SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and ILO =  1
                 and IHI = 0, if N = 0.


       IHI (input)
                 See the description of ILO.


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


       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)
                 (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 CGEHRD.


       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                        cunmhr(3P)