1CGESC2(1)           LAPACK auxiliary routine (version 3.1)           CGESC2(1)
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NAME

6       CGESC2 - a system of linear equations   A * X = scale* RHS  with a gen‐
7       eral N-by-N matrix A using the LU factorization with complete  pivoting
8       computed by CGETC2
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SYNOPSIS

11       SUBROUTINE CGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )
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13           INTEGER        LDA, N
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15           REAL           SCALE
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17           INTEGER        IPIV( * ), JPIV( * )
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19           COMPLEX        A( LDA, * ), RHS( * )
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PURPOSE

22       CGESC2 solves a system of linear equations
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ARGUMENTS

27       N       (input) INTEGER
28               The number of columns of the matrix A.
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30       A       (input) COMPLEX array, dimension (LDA, N)
31               On  entry,  the   LU  part  of  the factorization of the n-by-n
32               matrix A computed by CGETC2:  A = P * L * U * Q
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34       LDA     (input) INTEGER
35               The leading dimension of the array A.  LDA >= max(1, N).
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37       RHS     (input/output) COMPLEX array, dimension N.
38               On entry, the right hand side vector b.  On exit, the  solution
39               vector X.
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41       IPIV    (input) INTEGER array, dimension (N).
42               The  pivot  indices;  for  1 <= i <= N, row i of the matrix has
43               been interchanged with row IPIV(i).
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45       JPIV    (input) INTEGER array, dimension (N).
46               The pivot indices; for 1 <= j <= N, column j of the matrix  has
47               been interchanged with column JPIV(j).
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49       SCALE    (output) REAL
50                On exit, SCALE contains the scale factor. SCALE is chosen 0 <=
51                SCALE <= 1 to prevent owerflow in the solution.
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FURTHER DETAILS

54       Based on contributions by
55          Bo Kagstrom and Peter Poromaa, Department of Computing Science,
56          Umea University, S-901 87 Umea, Sweden.
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61 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       CGESC2(1)
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