.TH "gesc2" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME gesc2 \- gesc2: triangular solve using factor, with complete pivoting .SH SYNOPSIS .br .PP .SS "Functions" .in +1c .ti -1c .RI "subroutine \fBcgesc2\fP (n, a, lda, rhs, ipiv, jpiv, scale)" .br .RI "\fBCGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. " .ti -1c .RI "subroutine \fBdgesc2\fP (n, a, lda, rhs, ipiv, jpiv, scale)" .br .RI "\fBDGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. " .ti -1c .RI "subroutine \fBsgesc2\fP (n, a, lda, rhs, ipiv, jpiv, scale)" .br .RI "\fBSGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. " .ti -1c .RI "subroutine \fBzgesc2\fP (n, a, lda, rhs, ipiv, jpiv, scale)" .br .RI "\fBZGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. " .in -1c .SH "Detailed Description" .PP .SH "Function Documentation" .PP .SS "subroutine cgesc2 (integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, real scale)" .PP \fBCGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. .PP \fBPurpose:\fP .RS 4 .PP .nf 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\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. .fi .PP .br \fIA\fP .PP .nf 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 .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1, N)\&. .fi .PP .br \fIRHS\fP .PP .nf RHS is COMPLEX array, dimension N\&. On entry, the right hand side vector b\&. On exit, the solution vector X\&. .fi .PP .br \fIIPIV\fP .PP .nf 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)\&. .fi .PP .br \fIJPIV\fP .PP .nf 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)\&. .fi .PP .br \fISCALE\fP .PP .nf SCALE is REAL On exit, SCALE contains the scale factor\&. SCALE is chosen 0 <= SCALE <= 1 to prevent overflow in the solution\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden\&. .RE .PP .SS "subroutine dgesc2 (integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)" .PP \fBDGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. .PP \fBPurpose:\fP .RS 4 .PP .nf 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\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. .fi .PP .br \fIA\fP .PP .nf 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 .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1, N)\&. .fi .PP .br \fIRHS\fP .PP .nf RHS is DOUBLE PRECISION array, dimension (N)\&. On entry, the right hand side vector b\&. On exit, the solution vector X\&. .fi .PP .br \fIIPIV\fP .PP .nf 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)\&. .fi .PP .br \fIJPIV\fP .PP .nf 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)\&. .fi .PP .br \fISCALE\fP .PP .nf SCALE is DOUBLE PRECISION On exit, SCALE contains the scale factor\&. SCALE is chosen 0 <= SCALE <= 1 to prevent overflow in the solution\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden\&. .RE .PP .SS "subroutine sgesc2 (integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, real scale)" .PP \fBSGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. .PP \fBPurpose:\fP .RS 4 .PP .nf 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\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. .fi .PP .br \fIA\fP .PP .nf 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 .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1, N)\&. .fi .PP .br \fIRHS\fP .PP .nf RHS is REAL array, dimension (N)\&. On entry, the right hand side vector b\&. On exit, the solution vector X\&. .fi .PP .br \fIIPIV\fP .PP .nf 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)\&. .fi .PP .br \fIJPIV\fP .PP .nf 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)\&. .fi .PP .br \fISCALE\fP .PP .nf SCALE is REAL On exit, SCALE contains the scale factor\&. SCALE is chosen 0 <= SCALE <= 1 to prevent overflow in the solution\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden\&. .RE .PP .SS "subroutine zgesc2 (integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)" .PP \fBZGESC2\fP solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2\&. .PP \fBPurpose:\fP .RS 4 .PP .nf 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\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. .fi .PP .br \fIA\fP .PP .nf 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 .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1, N)\&. .fi .PP .br \fIRHS\fP .PP .nf RHS is COMPLEX*16 array, dimension N\&. On entry, the right hand side vector b\&. On exit, the solution vector X\&. .fi .PP .br \fIIPIV\fP .PP .nf 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)\&. .fi .PP .br \fIJPIV\fP .PP .nf 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)\&. .fi .PP .br \fISCALE\fP .PP .nf SCALE is DOUBLE PRECISION On exit, SCALE contains the scale factor\&. SCALE is chosen 0 <= SCALE <= 1 to prevent overflow in the solution\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden\&. .RE .PP .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.