NAME

SYNOPSIS

  SUBROUTINE ZUNMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, 
 *      LWORK, INFO)
  CHARACTER * 1 SIDE, TRANS
  DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
  INTEGER M, N, K, LDA, LDC, LWORK, INFO
 
  SUBROUTINE ZUNMQL_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, 
 *      WORK, LWORK, INFO)
  CHARACTER * 1 SIDE, TRANS
  DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*)
  INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO
 

F95 INTERFACE

  SUBROUTINE UNMQL( SIDE, [TRANS], [M], [N], [K], A, [LDA], TAU, C, 
 *       [LDC], [WORK], [LWORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, TRANS
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A, C
  INTEGER :: M, N, K, LDA, LDC, LWORK, INFO
 
  SUBROUTINE UNMQL_64( SIDE, [TRANS], [M], [N], [K], A, [LDA], TAU, C, 
 *       [LDC], [WORK], [LWORK], [INFO])
  CHARACTER(LEN=1) :: SIDE, TRANS
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A, C
  INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO
 

C INTERFACE

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

void zunmql_64(char side, char trans, long m, long n, long k, doublecomplex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info);

PURPOSE

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

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

as returned by CGEQLF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.

ARGUMENTS

* SIDE (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.

* 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 CGEQLF 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 CGEQLF.

* 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 performance 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)