# 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