# dgesc2.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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dgesc2.f

## SYNOPSIS

### Functions/Subroutines

subroutine dgesc2 (N, A, LDA, RHS, IPIV, JPIV, SCALE)
DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

## Function/Subroutine Documentation

### subroutine dgesc2 (integer N, double precision, dimension( lda, * ) A, integer LDA, double precision, dimension( * ) RHS, integer, dimension( * ) IPIV, integer, dimension( * ) JPIV, double precision SCALE)

DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Purpose:

``` DGESC2 solves a system of linear equations

A * X = scale* RHS

with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by DGETC2.
```

Parameters:

N

```          N is INTEGER
The order of the matrix A.
```

A

```          A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the  LU part of the factorization of the n-by-n
matrix A computed by DGETC2:  A = P * L * U * Q
```

LDA

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

RHS

```          RHS is DOUBLE PRECISION array, dimension (N).
On entry, the right hand side vector b.
On exit, the solution vector X.
```

IPIV

```          IPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
```

JPIV

```          JPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j).
```

SCALE

```          SCALE is DOUBLE PRECISION
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent owerflow in the solution.
```

Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

November 2017

Contributors:

Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden.

Definition at line 116 of file dgesc2.f.

## Author

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