File: zgtts2.l

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.TH ZGTTS2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
ZGTTS2 - solve one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,
.SH SYNOPSIS
.TP 19
SUBROUTINE ZGTTS2(
ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB )
.TP 19
.ti +4
INTEGER
ITRANS, LDB, N, NRHS
.TP 19
.ti +4
INTEGER
IPIV( * )
.TP 19
.ti +4
COMPLEX*16
B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )
.SH PURPOSE
ZGTTS2 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
ITRANS  (input) INTEGER
Specifies the form of the system of equations.
= 0:  A * X = B     (No transpose)
.br
= 1:  A**T * X = B  (Transpose)
.br
= 2:  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).