# cgesc2.f - Man Page

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.

## Referenced By

The man page cgesc2(3) is an alias of cgesc2.f(3).

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