NAME

TESTING/LIN/cqlt01.f

SYNOPSIS

Functions/Subroutines

subroutine cqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
CQLT01

Function/Subroutine Documentation

subroutine cqlt01 (integer m, integer n, complex, dimension( lda, * ) a, complex, dimension( lda, * ) af, complex, dimension( lda, * ) q, complex, dimension( lda, * ) l, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

CQLT01

Purpose:



 CQLT01 tests CGEQLF, which computes the QL factorization of an m-by-n


 matrix A, and partially tests CUNGQL which forms the m-by-m


 orthogonal matrix Q.


 CQLT01 compares L with Q'*A, and checks that Q is orthogonal.

Parameters



          M is INTEGER


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



          N is INTEGER


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



          A is COMPLEX array, dimension (LDA,N)


          The m-by-n matrix A.



          AF is COMPLEX array, dimension (LDA,N)


          Details of the QL factorization of A, as returned by CGEQLF.


          See CGEQLF for further details.



          Q is COMPLEX array, dimension (LDA,M)


          The m-by-m orthogonal matrix Q.



          L is COMPLEX array, dimension (LDA,max(M,N))

LDA



          LDA is INTEGER


          The leading dimension of the arrays A, AF, Q and R.


          LDA >= max(M,N).

TAU



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


          The scalar factors of the elementary reflectors, as returned


          by CGEQLF.

WORK



          WORK is COMPLEX array, dimension (LWORK)

LWORK



          LWORK is INTEGER


          The dimension of the array WORK.

RWORK



          RWORK is REAL array, dimension (M)

RESULT



          RESULT is REAL array, dimension (2)


          The test ratios:


          RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS )


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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file cqlt01.f.

Author

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