File: cptts2.l

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.TH CPTTS2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
CPTTS2 - solve a tridiagonal system of the form A * X = B using the factorization A = U'*D*U or A = L*D*L' computed by CPTTRF
.SH SYNOPSIS
.TP 19
SUBROUTINE CPTTS2(
IUPLO, N, NRHS, D, E, B, LDB )
.TP 19
.ti +4
INTEGER
IUPLO, LDB, N, NRHS
.TP 19
.ti +4
REAL
D( * )
.TP 19
.ti +4
COMPLEX
B( LDB, * ), E( * )
.SH PURPOSE
CPTTS2 solves a tridiagonal system of the form A * X = B using the factorization A = U'*D*U or A = L*D*L' computed by CPTTRF. D is a diagonal matrix specified in the vector D, U (or L) is a unit
bidiagonal matrix whose superdiagonal (subdiagonal) is specified in
the vector E, and X and B are N by NRHS matrices.
.br

.SH ARGUMENTS
.TP 8
IUPLO   (input) INTEGER
Specifies the form of the factorization and whether the
vector E is the superdiagonal of the upper bidiagonal factor
U or the subdiagonal of the lower bidiagonal factor L.
= 1:  A = U'*D*U, E is the superdiagonal of U
.br
= 0:  A = L*D*L', E is the subdiagonal of L
.TP 8
N       (input) INTEGER
The order of the tridiagonal matrix A.  N >= 0.
.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
D       (input) REAL array, dimension (N)
The n diagonal elements of the diagonal matrix D from the
factorization A = U'*D*U or A = L*D*L'.
.TP 8
E       (input) COMPLEX array, dimension (N-1)
If IUPLO = 1, the (n-1) superdiagonal elements of the unit
bidiagonal factor U from the factorization A = U'*D*U.
If IUPLO = 0, the (n-1) subdiagonal elements of the unit
bidiagonal factor L from the factorization A = L*D*L'.
.TP 8
B       (input/output) REAL array, dimension (LDB,NRHS)
On entry, the right hand side vectors B for the system of
linear equations.
On exit, the solution vectors, X.
.TP 8
LDB     (input) INTEGER
The leading dimension of the array B.  LDB >= max(1,N).