NAME
DPTTS2 - solve a tridiagonal system of the form A * X = B using the L*D*L' factorization of A computed by DPTTRF
SYNOPSIS
SUBROUTINE DPTTS2(
N, NRHS, D, E, B, LDB )
DOUBLE
PRECISION B( LDB, * ), D( * ), E( * )
PURPOSE
DPTTS2 solves a tridiagonal system of the form A * X = B using the L*D*L' factorization of A computed by DPTTRF. 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.
ARGUMENTS
N (input) INTEGER
The order of the tridiagonal matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
D (input) DOUBLE PRECISION array, dimension (N)
The n diagonal elements of the diagonal matrix D from the
L*D*L' factorization of A.
E (input) DOUBLE PRECISION 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.
B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the right hand side vectors B for the system of
linear equations.
On exit, the solution vectors, X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).