ZPTTRS(3f)

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

SYNOPSIS

SUBROUTINE ZPTTRS(
    UPLO, N, NRHS, D, E, B, LDB, INFO )

CHARACTER
    UPLO

INTEGER
    INFO, LDB, N, NRHS

DOUBLE
    PRECISION D( * )

COMPLEX*16
    B( LDB, * ), E( * )

PURPOSE
ZPTTRS solves a tridiagonal system of the form
   A * X = B using the factorization A = U'*D*U or A = L*D*L' computed by ZPTTRF. 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

UPLO    (input) CHARACTER*1
    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. = 'U': A = U'*D*U, E is the superdiagonal of U
    = 'L': 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) DOUBLE PRECISION 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*16 array, dimension (N-1)
    If UPLO = 'U', the (n-1) superdiagonal elements of the unit bidiagonal factor U from the factorization A = U'*D*U. If UPLO = 'L', the (n-1) subdiagonal elements of the unit bidiagonal factor L from the factorization A = L*D*L'.

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).

INFO    (output) INTEGER
    = 0: successful exit
    < 0: if INFO = -k, the k-th argument had an illegal value