---
name: "cgesc2.f"
section: "3"
platform: "linux"
package: "lapack-doc"
version: "3.12.1-2"
release: "Arch Linux 2026-11-01"
platforms: ["linux"]
url: "https://new.carta.tech/cgesc2.f"
---

# cgesc2.f(3)

## NAME

SRC/cgesc2.f

## SYNOPSIS

### Functions/Subroutines

subroutine **cgesc2** (n, a, lda, rhs, ipiv, jpiv, scale)\
 **CGESC2** solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

## Function/Subroutine Documentation

### subroutine cgesc2 (integer n, complex, dimension( lda, \* ) a, integer lda, complex, dimension( \* ) rhs, integer, dimension( \* ) ipiv, integer, dimension( \* ) jpiv, real scale)

**CGESC2** solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

**Purpose:**

```
!>
!> CGESC2 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 CGETC2.
!>
!>
```

**Parameters**

*N*

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

*A*

```
!>          A is COMPLEX array, dimension (LDA, N)
!>          On entry, the  LU part of the factorization of the n-by-n
!>          matrix A computed by CGETC2:  A = P * L * U * Q
!>
```

*LDA*

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

*RHS*

```
!>          RHS is COMPLEX 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 REAL
!>           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

Univ. of Colorado Denver

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 **cgesc2.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.