.TH "SRC/sgtsv.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/sgtsv.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsgtsv\fP (n, nrhs, dl, d, du, b, ldb, info)"
.br
.RI "\fB SGTSV computes the solution to system of linear equations A * X = B for GT matrices \fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sgtsv (integer n, integer nrhs, real, dimension( * ) dl, real, dimension( * ) d, real, dimension( * ) du, real, dimension( ldb, * ) b, integer ldb, integer info)"

.PP
\fB SGTSV computes the solution to system of linear equations A * X = B for GT matrices \fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> SGTSV  solves the equation
!>
!>    A*X = B,
!>
!> where A is an n by n tridiagonal matrix, by Gaussian elimination with
!> partial pivoting\&.
!>
!> Note that the equation  A**T*X = B  may be solved by interchanging the
!> order of the arguments DU and DL\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fINRHS\fP 
.PP
.nf
!>          NRHS is INTEGER
!>          The number of right hand sides, i\&.e\&., the number of columns
!>          of the matrix B\&.  NRHS >= 0\&.
!> 
.fi
.PP
.br
\fIDL\fP 
.PP
.nf
!>          DL is REAL array, dimension (N-1)
!>          On entry, DL must contain the (n-1) sub-diagonal elements of
!>          A\&.
!>
!>          On exit, DL is overwritten by the (n-2) elements of the
!>          second super-diagonal of the upper triangular matrix U from
!>          the LU factorization of A, in DL(1), \&.\&.\&., DL(n-2)\&.
!> 
.fi
.PP
.br
\fID\fP 
.PP
.nf
!>          D is REAL array, dimension (N)
!>          On entry, D must contain the diagonal elements of A\&.
!>
!>          On exit, D is overwritten by the n diagonal elements of U\&.
!> 
.fi
.PP
.br
\fIDU\fP 
.PP
.nf
!>          DU is REAL array, dimension (N-1)
!>          On entry, DU must contain the (n-1) super-diagonal elements
!>          of A\&.
!>
!>          On exit, DU is overwritten by the (n-1) elements of the first
!>          super-diagonal of U\&.
!> 
.fi
.PP
.br
\fIB\fP 
.PP
.nf
!>          B is REAL array, dimension (LDB,NRHS)
!>          On entry, the N by NRHS matrix of right hand side matrix B\&.
!>          On exit, if INFO = 0, the N by NRHS solution matrix X\&.
!> 
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
!>          LDB is INTEGER
!>          The leading dimension of the array B\&.  LDB >= max(1,N)\&.
!> 
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -i, the i-th argument had an illegal value
!>          > 0: if INFO = i, U(i,i) is exactly zero, and the solution
!>               has not been computed\&.  The factorization has not been
!>               completed unless i = N\&.
!> 
.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

.PP
Definition at line \fB126\fP of file \fBsgtsv\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.