# zgesc2.f - Man Page

SRC/zgesc2.f

## Synopsis

### Functions/Subroutines

subroutine zgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)
ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

## Function/Subroutine Documentation

### subroutine zgesc2 (integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)

ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Purpose:

``` ZGESC2 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 ZGETC2.```
Parameters

N

```          N is INTEGER
The number of columns of the matrix A.```

A

```          A is COMPLEX*16 array, dimension (LDA, N)
On entry, the  LU part of the factorization of the n-by-n
matrix A computed by ZGETC2:  A = P * L * U * Q```

LDA

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

RHS

```          RHS is COMPLEX*16 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 114 of file zgesc2.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zgesc2(3) is an alias of zgesc2.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK