# dgesc2.f - Man Page

SRC/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 overflow in the solution.```
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Contributors:

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

Definition at line 113 of file dgesc2.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page dgesc2(3) is an alias of dgesc2.f(3).

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