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 Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 gesc2(3)