DRQT01 tests DGERQF, which computes the RQ factorization of an m-by-n


 matrix A, and partially tests DORGRQ which forms the n-by-n


 orthogonal matrix Q.


 DRQT01 compares R with A*Q', and checks that Q is orthogonal.

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 DOUBLE PRECISION array, dimension (LDA,N)


          The m-by-n matrix A.

AF

          AF is DOUBLE PRECISION array, dimension (LDA,N)


          Details of the RQ factorization of A, as returned by DGERQF.


          See DGERQF for further details.

Q

          Q is DOUBLE PRECISION array, dimension (LDA,N)


          The n-by-n orthogonal matrix Q.

R

          R is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (min(M,N))


          The scalar factors of the elementary reflectors, as returned


          by DGERQF.

WORK

          WORK is DOUBLE PRECISION array, dimension (LWORK)

LWORK

          LWORK is INTEGER


          The dimension of the array WORK.

RWORK

          RWORK is DOUBLE PRECISION array, dimension (max(M,N))

RESULT

          RESULT is DOUBLE PRECISION array, dimension (2)


          The test ratios:


          RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )


          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

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