CRQT01 tests CGERQF, which computes the RQ factorization of an m-by-n


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


 orthogonal matrix Q.


 CRQT01 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 COMPLEX array, dimension (LDA,N)


          The m-by-n matrix A.

AF

          AF is COMPLEX array, dimension (LDA,N)


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


          See CGERQF for further details.

Q

          Q is COMPLEX array, dimension (LDA,N)


          The n-by-n orthogonal matrix Q.

R

          R is COMPLEX 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 COMPLEX array, dimension (min(M,N))


          The scalar factors of the elementary reflectors, as returned


          by CGERQF.

WORK

          WORK is COMPLEX 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 )

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