gesc2(3)

NAME
gesc2 - gesc2: triangular solve using factor, with complete pivoting

SYNOPSIS

  Functions

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.
subroutine dgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)
DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
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.
subroutine zgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)
ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Detailed Description

Function 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.

  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.

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
    N

    !>          N is INTEGER
    !>          The order of the matrix A.
    !>

    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
    !>

    LDA

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

    RHS

    !>          RHS is DOUBLE PRECISION 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 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.

  subroutine sgesc2 (integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, real scale)

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.

  subroutine zgesc2 (integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)

ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Purpose:

    !>
    !> ZGESC2 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 ZGETC2.
    !>
    !>

Parameters
    N

    !>          N is INTEGER
    !>          The number of columns of the matrix A.
    !>

    A

    !>          A is COMPLEX*16 array, dimension (LDA, N)
    !>          On entry, the  LU part of the factorization of the n-by-n
    !>          matrix A computed by ZGETC2:  A = P * L * U * Q
    !>

    LDA

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

    RHS

    !>          RHS is COMPLEX*16 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 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.

Author

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