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Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :

ISBN : 978-2-7460-9712-4
EAN : 9782746097124
(Editions ENI)

GNU/Linux

CentOS 4.8

i386

zpttrf(l)


ZPTTRF

ZPTTRF

NAME
SYNOPSIS
PURPOSE
ARGUMENTS

NAME

ZPTTRF - compute the L*D*L’ factorization of a complex Hermitian positive definite tridiagonal matrix A

SYNOPSIS

SUBROUTINE ZPTTRF(

N, D, E, INFO )

INTEGER

INFO, N

DOUBLE

PRECISION D( * )

COMPLEX*16

E( * )

PURPOSE

ZPTTRF computes the L*D*L’ factorization of a complex Hermitian positive definite tridiagonal matrix A. The factorization may also be regarded as having the form A = U’*D*U.

ARGUMENTS

N (input) INTEGER

The order of the matrix A. N >= 0.

D (input/output) DOUBLE PRECISION array, dimension (N)

On entry, the n diagonal elements of the tridiagonal matrix A. On exit, the n diagonal elements of the diagonal matrix D from the L*D*L’ factorization of A.

E (input/output) COMPLEX*16 array, dimension (N-1)

On entry, the (n-1) subdiagonal elements of the tridiagonal matrix A. On exit, 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 U’*D*U factorization of A.

INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = -k, the k-th argument had an illegal value
> 0: if INFO = k, the leading minor of order k is not positive definite; if k < N, the factorization could not be completed, while if k = N, the factorization was completed, but D(N) = 0.



zpttrf(l)