zqrt01p.f - Man Page

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.

Referenced By

The man page zqrt01p(3) is an alias of zqrt01p.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK