# dorgl2.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine dorgl2 (M, N, K, A, LDA, TAU, WORK, INFO)
DORGL2

## Function/Subroutine Documentation

### subroutine dorgl2 (integer M, integer N, integer K, double precision, dimension( lda, * ) A, integer LDA, double precision, dimension( * ) TAU, double precision, dimension( * ) WORK, integer INFO)

DORGL2

Purpose:

``` DORGL2 generates an m by n real matrix Q with orthonormal rows,
which is defined as the first m rows of a product of k elementary
reflectors of order n

Q  =  H(k) . . . H(2) H(1)

as returned by DGELQF.```
Parameters:

M

```          M is INTEGER
The number of rows of the matrix Q. M >= 0.```

N

```          N is INTEGER
The number of columns of the matrix Q. N >= M.```

K

```          K is INTEGER
The number of elementary reflectors whose product defines the
matrix Q. M >= K >= 0.```

A

```          A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the i-th row must contain the vector which defines
the elementary reflector H(i), for i = 1,2,...,k, as returned
by DGELQF in the first k rows of its array argument A.
On exit, the m-by-n matrix Q.```

LDA

```          LDA is INTEGER
The first dimension of the array A. LDA >= max(1,M).```

TAU

```          TAU is DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DGELQF.```

WORK

`          WORK is DOUBLE PRECISION array, dimension (M)`

INFO

```          INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value```
Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

December 2016

Definition at line 115 of file dorgl2.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page dorgl2(3) is an alias of dorgl2.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK