LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ dgesc2()

subroutine dgesc2 ( integer n,
double precision, dimension( lda, * ) a,
integer lda,
double precision, dimension( * ) rhs,
integer, dimension( * ) ipiv,
integer, dimension( * ) jpiv,
double precision scale )

DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Download DGESC2 + dependencies [TGZ] [ZIP] [TXT]

Purpose:
!>
!> DGESC2 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 DGETC2.
!> 
Parameters
[in]N
!>          N is INTEGER
!>          The order of the matrix A.
!> 
[in]A
!>          A is DOUBLE PRECISION array, dimension (LDA,N)
!>          On entry, the  LU part of the factorization of the n-by-n
!>          matrix A computed by DGETC2:  A = P * L * U * Q
!> 
[in]LDA
!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1, N).
!> 
[in,out]RHS
!>          RHS is DOUBLE PRECISION array, dimension (N).
!>          On entry, the right hand side vector b.
!>          On exit, the solution vector X.
!> 
[in]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).
!> 
[in]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).
!> 
[out]SCALE
!>          SCALE is DOUBLE PRECISION
!>          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.