clqt01.f - Man Page

TESTING/LIN/clqt01.f

Synopsis

Functions/Subroutines

subroutine clqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
CLQT01

Function/Subroutine Documentation

subroutine clqt01 (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)

CLQT01

Purpose:

 CLQT01 tests CGELQF, which computes the LQ factorization of an m-by-n
 matrix A, and partially tests CUNGLQ which forms the n-by-n
 orthogonal matrix Q.

 CLQT01 compares L with A*Q', 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 LQ factorization of A, as returned by CGELQF.
          See CGELQF for further details.

Q

          Q is COMPLEX array, dimension (LDA,N)
          The n-by-n orthogonal matrix Q.

L

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

LDA

          LDA is INTEGER
          The leading dimension of the arrays A, AF, Q and L.
          LDA >= max(M,N).

TAU

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

WORK

          WORK is COMPLEX array, dimension (LWORK)

LWORK

          LWORK is INTEGER
          The dimension of the array WORK.

RWORK

          RWORK is REAL array, dimension (max(M,N))

RESULT

          RESULT is REAL array, dimension (2)
          The test ratios:
          RESULT(1) = norm( L - A*Q' ) / ( N * norm(A) * EPS )
          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file clqt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page clqt01(3) is an alias of clqt01.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK