CPTTS2(3f)

NAME
CPTTS2 - a tridiagonal system of the form A * X = B using the factorization A = U'*D*U or A = L*D*L' computed by CPTTRF

SYNOPSIS

SUBROUTINE CPTTS2(
    IUPLO, N, NRHS, D, E, B, LDB )

INTEGER
    IUPLO, LDB, N, NRHS

REAL
    D( * )

COMPLEX
    B( LDB, * ), E( * )

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.

ARGUMENTS

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
    = 0: A = L*D*L', E is the subdiagonal of L

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) 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'.

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'.

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.

LDB     (input) INTEGER
    The leading dimension of the array B. LDB >= max(1,N).