• NAME
• SYNOPSIS
• F95 INTERFACE
• C INTERFACE
• PURPOSE
• ARGUMENTS

NAME

zunmr2 - overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',

SYNOPSIS

  SUBROUTINE ZUNMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, 
 *      INFO)
  CHARACTER * 1 SIDE, TRANS
  DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
  INTEGER M, N, K, LDA, LDC, INFO

  SUBROUTINE ZUNMR2_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, 
 *      WORK, INFO)
  CHARACTER * 1 SIDE, TRANS
  DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
  INTEGER*8 M, N, K, LDA, LDC, INFO

F95 INTERFACE

  SUBROUTINE UNMR2( SIDE, TRANS, [M], [N], [K], A, [LDA], TAU, C, [LDC], 
 *       [WORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, TRANS
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A, C
  INTEGER :: M, N, K, LDA, LDC, INFO

  SUBROUTINE UNMR2_64( SIDE, TRANS, [M], [N], [K], A, [LDA], TAU, C, 
 *       [LDC], [WORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, TRANS
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A, C
  INTEGER(8) :: M, N, K, LDA, LDC, INFO

C INTERFACE

#include <sunperf.h>

void zunmr2(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info);

void zunmr2_64(char side, char trans, long m, long n, long k, doublecomplex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info);

PURPOSE

zunmr2 overwrites the general complex m-by-n matrix C with

where Q is a complex unitary matrix defined as the product of k elementary reflectors

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

as returned by CGERQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.

ARGUMENTS

• SIDE (input)
  

   = 'L': apply Q or Q' from the Left

   = 'R': apply Q or Q' from the Right

• TRANS (input)
  

   = 'N': apply Q  (No transpose)

   = 'C': apply Q' (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.

• 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 reflector H(i), for i = 1,2,...,k, as returned by CGERQF 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 CGERQF.

• C (input/output)
  On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.

• LDC (input)
  The leading dimension of the array C. LDC > = max(1,M).

• WORK (workspace)
  (N) if SIDE = 'L', (M) if SIDE = 'R'

• INFO (output)
  

   = 0: successful exit

   < 0: if INFO  = -i, the i-th argument had an illegal value