# srqt01.f - Man Page

TESTING/LIN/srqt01.f

## Synopsis

### Functions/Subroutines

subroutine srqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SRQT01

## Function/Subroutine Documentation

### subroutine srqt01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT01

Purpose:

``` SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n
matrix A, and partially tests SORGRQ which forms the n-by-n
orthogonal matrix Q.

SRQT01 compares R 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 REAL array, dimension (LDA,N)
The m-by-n matrix A.```

AF

```          AF is REAL array, dimension (LDA,N)
Details of the RQ factorization of A, as returned by SGERQF.
See SGERQF for further details.```

Q

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

R

`          R is REAL 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 REAL array, dimension (min(M,N))
The scalar factors of the elementary reflectors, as returned
by SGERQF.```

WORK

`          WORK is REAL 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( R - 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 srqt01.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page srqt01(3) is an alias of srqt01.f(3).

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