gesc2(3) Library Functions Manual gesc2(3)

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


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.

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.

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.

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.

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.

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