TESTING/LIN/cqrt01.f(3)    Library Functions Manual    TESTING/LIN/cqrt01.f(3)

NAME
       TESTING/LIN/cqrt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine cqrt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           CQRT01

Function/Subroutine Documentation
   subroutine cqrt01 (integer m, integer n, complex, dimension( lda, * ) a,
       complex, dimension( lda, * ) af, complex, dimension( lda, * ) q,
       complex, dimension( lda, * ) r, integer lda, complex, dimension( * )
       tau, complex, dimension( lwork ) work, integer lwork, real, dimension(
       * ) rwork, real, dimension( * ) result)
       CQRT01

       Purpose:


            CQRT01 tests CGEQRF, which computes the QR factorization of an m-by-n
            matrix A, and partially tests CUNGQR which forms the m-by-m
            orthogonal matrix Q.

            CQRT01 compares R with Q'*A, 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 COMPLEX array, dimension (LDA,N)
                     The m-by-n matrix A.

           AF

                     AF is COMPLEX array, dimension (LDA,N)
                     Details of the QR factorization of A, as returned by CGEQRF.
                     See CGEQRF for further details.

           Q

                     Q is COMPLEX array, dimension (LDA,M)
                     The m-by-m 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 R.
                     LDA >= max(M,N).

           TAU

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

           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( R - 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 cqrt01.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/cqrt01.f(3)