NAME

SYNOPSIS

  SUBROUTINE ZUPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, 
 *      INFO)
  CHARACTER * 1 SIDE, UPLO, TRANS
  DOUBLE COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*)
  INTEGER M, N, LDC, INFO
 
  SUBROUTINE ZUPMTR_64( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, 
 *      WORK, INFO)
  CHARACTER * 1 SIDE, UPLO, TRANS
  DOUBLE COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*)
  INTEGER*8 M, N, LDC, INFO
 

F95 INTERFACE

  SUBROUTINE UPMTR( SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC], 
 *       [WORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
  COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: C
  INTEGER :: M, N, LDC, INFO
 
  SUBROUTINE UPMTR_64( SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC], 
 *       [WORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
  COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: C
  INTEGER(8) :: M, N, LDC, INFO
 

C INTERFACE

void zupmtr(char side, char uplo, char trans, int m, int n, doublecomplex *ap, doublecomplex *tau, doublecomplex *c, int ldc, int *info);

void zupmtr_64(char side, char uplo, char trans, long m, long n, doublecomplex *ap, doublecomplex *tau, doublecomplex *c, long ldc, long *info);

PURPOSE

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 nq-1 elementary reflectors, as returned by CHPTRD using packed storage:

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)

* UPLO (input)

* TRANS (input)

* M (input)

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

* N (input)

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

* AP (input)

(M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by CHPTRD. AP is modified by the routine but restored on exit.

* TAU (input)

or (N-1) if SIDE = 'R' TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CHPTRD.

* 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)

(N) if SIDE = 'L' (M) if SIDE = 'R'

* INFO (output)