TESTING/LIN/zqrt01p.f(3)   Library Functions Manual   TESTING/LIN/zqrt01p.f(3)

NAME
       TESTING/LIN/zqrt01p.f

SYNOPSIS
   Functions/Subroutines
       subroutine zqrt01p (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           ZQRT01P

Function/Subroutine Documentation
   subroutine zqrt01p (integer m, integer n, complex*16, dimension( lda, * )
       a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * )
       q, complex*16, dimension( lda, * ) r, integer lda, complex*16,
       dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork,
       double precision, dimension( * ) rwork, double precision, dimension( *
       ) result)
       ZQRT01P

       Purpose:


           !>
           !> ZQRT01P tests ZGEQRFP, which computes the QR factorization of an m-by-n
           !> matrix A, and partially tests ZUNGQR which forms the m-by-m
           !> orthogonal matrix Q.
           !>
           !> ZQRT01P 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*16 array, dimension (LDA,N)
           !>          The m-by-n matrix A.
           !>

           AF

           !>          AF is COMPLEX*16 array, dimension (LDA,N)
           !>          Details of the QR factorization of A, as returned by ZGEQRFP.
           !>          See ZGEQRFP for further details.
           !>

           Q

           !>          Q is COMPLEX*16 array, dimension (LDA,M)
           !>          The m-by-m orthogonal matrix Q.
           !>

           R

           !>          R is COMPLEX*16 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*16 array, dimension (min(M,N))
           !>          The scalar factors of the elementary reflectors, as returned
           !>          by ZGEQRFP.
           !>

           WORK

           !>          WORK is COMPLEX*16 array, dimension (LWORK)
           !>

           LWORK

           !>          LWORK is INTEGER
           !>          The dimension of the array WORK.
           !>

           RWORK

           !>          RWORK is DOUBLE PRECISION array, dimension (M)
           !>

           RESULT

           !>          RESULT is DOUBLE PRECISION 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 zqrt01p.f.

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

LAPACK                          Version 3.12.0        TESTING/LIN/zqrt01p.f(3)