1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
|
.TH SPTTS2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
SPTTS2 - solve a tridiagonal system of the form A * X = B using the L*D*L' factorization of A computed by SPTTRF
.SH SYNOPSIS
.TP 19
SUBROUTINE SPTTS2(
N, NRHS, D, E, B, LDB )
.TP 19
.ti +4
INTEGER
LDB, N, NRHS
.TP 19
.ti +4
REAL
B( LDB, * ), D( * ), E( * )
.SH PURPOSE
SPTTS2 solves a tridiagonal system of the form A * X = B using the L*D*L' factorization of A computed by SPTTRF. D is a diagonal matrix specified in the vector D, L is a unit bidiagonal
matrix whose subdiagonal is specified in the vector E, and X and B
are N by NRHS matrices.
.br
.SH ARGUMENTS
.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
L*D*L' factorization of A.
.TP 8
E (input) REAL array, dimension (N-1)
The (n-1) subdiagonal elements of the unit bidiagonal factor
L from the L*D*L' factorization of A. E can also be regarded
as the superdiagonal of the unit bidiagonal factor U from the
factorization A = U'*D*U.
.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).
|
