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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zqrt01p.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zqrt01p.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/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

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Version 3.12.0 LAPACK