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SGESC2(l)) SGESC2(l)NAMESGESC2 - solve 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 SGETC2SYNOPSISSUBROUTINE SGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE ) INTEGER LDA, N REAL SCALE INTEGER IPIV( * ), JPIV( * ) REAL A( LDA, * ), RHS( * )PURPOSESGESC2 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.ARGUMENTSN (input) INTEGER The order of the matrix A. A (input) 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 (input) INTEGER The leading dimension of the array A. LDA >= max(1, N). RHS (input/output) REAL array, dimension (N). On entry, the right hand side vector b. On exit, the solution vector X. IPIV (iput) INTEGER array, dimension (N). The pivot indices; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i). JPIV (iput) INTEGER array, dimension (N). The pivot indices; for 1 <= j <= N, column j of the matrix has been interchanged with column JPIV(j). SCALE (output) REAL On exit, SCALE contains the scale factor. SCALE is chosen 0 <= SCALE <= 1 to pre- vent owerflow in the solution.FURTHER DETAILSBased on contributions by Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden.LAPACK version 3.015 June 2000 SGESC2(l)

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