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gesc2(3) Library Functions Manual 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.

Definition at line 114 of file cgesc2.f.

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.

Definition at line 113 of file dgesc2.f.

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.

Definition at line 113 of file sgesc2.f.

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.

Definition at line 114 of file zgesc2.f.

Author

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