# dgelqs.f - Man Page

SRC/DEPRECATED/dgelqs.f

## Synopsis

### Functions/Subroutines

subroutine dgelqs (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
DGELQS

## Function/Subroutine Documentation

### subroutine dgelqs (integer m, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tau, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( lwork ) work, integer lwork, integer info)

DGELQS

Purpose:

``` Compute a minimum-norm solution
min || A*X - B ||
using the LQ factorization
A = L*Q
computed by DGELQF.```
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 >= M >= 0.```

NRHS

```          NRHS is INTEGER
The number of columns of B.  NRHS >= 0.```

A

```          A is DOUBLE PRECISION array, dimension (LDA,N)
Details of the LQ factorization of the original matrix A as
returned by DGELQF.```

LDA

```          LDA is INTEGER
The leading dimension of the array A.  LDA >= M.```

TAU

```          TAU is DOUBLE PRECISION array, dimension (M)
Details of the orthogonal matrix Q.```

B

```          B is DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the m-by-nrhs right hand side matrix B.
On exit, the n-by-nrhs solution matrix X.```

LDB

```          LDB is INTEGER
The leading dimension of the array B. LDB >= N.```

WORK

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

LWORK

```          LWORK is INTEGER
The length of the array WORK.  LWORK must be at least NRHS,
and should be at least NRHS*NB, where NB is the block size
for this environment.```

INFO

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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 119 of file dgelqs.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 28 2023 12:08:41 Version 3.12.0 LAPACK