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

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subroutinecgesc2(integern,complex,dimension(lda,*)a,integerlda,complex,dimension(*)rhs,integer,dimension(*)ipiv,integer,dimension(*)jpiv,realscale)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. ParametersN 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. subroutinedgesc2(integern,doubleprecision,dimension(lda,*)a,integerlda,doubleprecision,dimension(*)rhs,integer,dimension(*)ipiv,integer,dimension(*)jpiv,doubleprecisionscale)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. ParametersN 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. subroutinesgesc2(integern,real,dimension(lda,*)a,integerlda,real,dimension(*)rhs,integer,dimension(*)ipiv,integer,dimension(*)jpiv,realscale)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. ParametersN 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. subroutinezgesc2(integern,complex*16,dimension(lda,*)a,integerlda,complex*16,dimension(*)rhs,integer,dimension(*)ipiv,integer,dimension(*)jpiv,doubleprecisionscale)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. ParametersN 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.

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

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.