srqt01.f - Man Page

subroutine srqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SRQT01

SRQT01

Purpose:

 SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n
 matrix A, and partially tests SORGRQ which forms the n-by-n
 orthogonal matrix Q.

 SRQT01 compares R with A*Q', and checks that Q is orthogonal.

Parameters

M

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

N

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

A

          A is REAL array, dimension (LDA,N)
          The m-by-n matrix A.

AF

          AF is REAL array, dimension (LDA,N)
          Details of the RQ factorization of A, as returned by SGERQF.
          See SGERQF for further details.

Q

          Q is REAL array, dimension (LDA,N)
          The n-by-n orthogonal matrix Q.

R

          R is REAL array, dimension (LDA,max(M,N))

LDA

          LDA is INTEGER
          The leading dimension of the arrays A, AF, Q and L.
          LDA >= max(M,N).

TAU

          TAU is REAL array, dimension (min(M,N))
          The scalar factors of the elementary reflectors, as returned
          by SGERQF.

WORK

          WORK is REAL array, dimension (LWORK)

LWORK

          LWORK is INTEGER
          The dimension of the array WORK.

RWORK

          RWORK is REAL array, dimension (max(M,N))

RESULT

          RESULT is REAL array, dimension (2)
          The test ratios:
          RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file srqt01.f.