# 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

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