.TH ZGTTRS 1 "November 2006" " LAPACK routine (version 3.1) " " LAPACK routine (version 3.1) "
.SH NAME
ZGTTRS - one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,
.SH SYNOPSIS
.TP 19
SUBROUTINE ZGTTRS(
TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB,
INFO )
.TP 19
.ti +4
CHARACTER
TRANS
.TP 19
.ti +4
INTEGER
INFO, LDB, N, NRHS
.TP 19
.ti +4
INTEGER
IPIV( * )
.TP 19
.ti +4
COMPLEX*16
B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )
.SH PURPOSE
ZGTTRS solves one of the systems of equations
A * X = B, A**T * X = B, or A**H * X = B,
with a tridiagonal matrix A using the LU factorization computed
by ZGTTRF.
.br
.SH ARGUMENTS
.TP 8
TRANS (input) CHARACTER*1
Specifies the form of the system of equations.
= \(aqN\(aq: A * X = B (No transpose)
.br
= \(aqT\(aq: A**T * X = B (Transpose)
.br
= \(aqC\(aq: A**H * X = B (Conjugate transpose)
.TP 8
N (input) INTEGER
The order of the matrix A.
.TP 8
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
.TP 8
DL (input) COMPLEX*16 array, dimension (N-1)
The (n-1) multipliers that define the matrix L from the
LU factorization of A.
.TP 8
D (input) COMPLEX*16 array, dimension (N)
The n diagonal elements of the upper triangular matrix U from
the LU factorization of A.
.TP 8
DU (input) COMPLEX*16 array, dimension (N-1)
The (n-1) elements of the first super-diagonal of U.
.TP 8
DU2 (input) COMPLEX*16 array, dimension (N-2)
The (n-2) elements of the second super-diagonal of U.
.TP 8
IPIV (input) INTEGER array, dimension (N)
The pivot indices; for 1 <= i <= n, row i of the matrix was
interchanged with row IPIV(i). IPIV(i) will always be either
i or i+1; IPIV(i) = i indicates a row interchange was not
required.
.TP 8
B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the matrix of right hand side vectors B.
On exit, B is overwritten by the solution vectors X.
.TP 8
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
.TP 8
INFO (output) INTEGER
= 0: successful exit
.br
< 0: if INFO = -k, the k-th argument had an illegal value