NAME

SYNOPSIS

  SUBROUTINE ZGERQF( M, N, A, LDA, TAU, WORK, LDWORK, INFO)
  DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*)
  INTEGER M, N, LDA, LDWORK, INFO
 
  SUBROUTINE ZGERQF_64( M, N, A, LDA, TAU, WORK, LDWORK, INFO)
  DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*)
  INTEGER*8 M, N, LDA, LDWORK, INFO
 

F95 INTERFACE

  SUBROUTINE GERQF( [M], [N], A, [LDA], TAU, [WORK], [LDWORK], [INFO])
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A
  INTEGER :: M, N, LDA, LDWORK, INFO
 
  SUBROUTINE GERQF_64( [M], [N], A, [LDA], TAU, [WORK], [LDWORK], 
 *       [INFO])
  COMPLEX(8), DIMENSION(:) :: TAU, WORK
  COMPLEX(8), DIMENSION(:,:) :: A
  INTEGER(8) :: M, N, LDA, LDWORK, INFO
 

C INTERFACE

void zgerqf(int m, int n, doublecomplex *a, int lda, doublecomplex *tau, int *info);

void zgerqf_64(long m, long n, doublecomplex *a, long lda, doublecomplex *tau, long *info);

PURPOSE

ARGUMENTS

* M (input)

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

* N (input)

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

* A (input/output)

On entry, the M-by-N matrix A. On exit, if m <= n, the upper triangle of the subarray A(1:m,n-m+1:n) contains the M-by-M upper triangular matrix R; if m >= n, the elements on and above the (m-n)-th subdiagonal contain the M-by-N upper trapezoidal matrix R; the remaining elements, with the array TAU, represent the unitary matrix Q as a product of min(m,n) elementary reflectors (see Further Details).

* LDA (input)

The leading dimension of the array A. LDA >= max(1,M).

* TAU (output)

The scalar factors of the elementary reflectors (see Further Details).

* WORK (workspace)

On exit, if INFO = 0, WORK(1) returns the optimal LDWORK.

* LDWORK (input)

The dimension of the array WORK. LDWORK >= max(1,M). For optimum performance LDWORK >= M*NB, where NB is the optimal blocksize.

If LDWORK = -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 LDWORK is issued by XERBLA.

* INFO (output)