.TH "gesc2" 3 "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

.PP
Definition at line \fB114\fP of file \fBcgesc2\&.f\fP\&.
.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

.PP
Definition at line \fB113\fP of file \fBdgesc2\&.f\fP\&.
.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

.PP
Definition at line \fB113\fP of file \fBsgesc2\&.f\fP\&.
.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

.PP
Definition at line \fB114\fP of file \fBzgesc2\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.