NAME

SYNOPSIS

  SUBROUTINE DGEQLF( M, N, A, LDA, TAU, WORK, LDWORK, INFO)
  INTEGER M, N, LDA, LDWORK, INFO
  DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)
 
  SUBROUTINE DGEQLF_64( M, N, A, LDA, TAU, WORK, LDWORK, INFO)
  INTEGER*8 M, N, LDA, LDWORK, INFO
  DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)
 

F95 INTERFACE

  SUBROUTINE GEQLF( [M], [N], A, [LDA], TAU, [WORK], [LDWORK], [INFO])
  INTEGER :: M, N, LDA, LDWORK, INFO
  REAL(8), DIMENSION(:) :: TAU, WORK
  REAL(8), DIMENSION(:,:) :: A
 
  SUBROUTINE GEQLF_64( [M], [N], A, [LDA], TAU, [WORK], [LDWORK], 
 *       [INFO])
  INTEGER(8) :: M, N, LDA, LDWORK, INFO
  REAL(8), DIMENSION(:) :: TAU, WORK
  REAL(8), DIMENSION(:,:) :: A
 

C INTERFACE

void dgeqlf(int m, int n, double *a, int lda, double *tau, int *info);

void dgeqlf_64(long m, long n, double *a, long lda, double *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 lower triangle of the subarray A(m-n+1:m,1:n) contains the N-by-N lower triangular matrix L; if m <= n, the elements on and below the (n-m)-th superdiagonal contain the M-by-N lower trapezoidal matrix L; the remaining elements, with the array TAU, represent the orthogonal matrix Q as a product of 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,N). For optimum performance LDWORK >= N*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)