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SRC/sgesc2.f(3) LAPACK SRC/sgesc2.f(3)

SRC/sgesc2.f


subroutine sgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)
SGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

SGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Purpose:


SGESC2 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 SGETC2.

Parameters

N


N is INTEGER
The order of the matrix A.

A


A is REAL array, dimension (LDA,N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by SGETC2: A = P * L * U * Q

LDA


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

RHS


RHS is REAL 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 113 of file sgesc2.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:31 Version 3.12.1

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