ZPTTRF - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)
NAMEZPTTRF - computes the L*D*L' factorization of a complex Hermitian positive definite tridiagonal matrix A
SYNOPSISSUBROUTINE ZPTTRF(  N, D, E, INFO )  INTEGER INFO, N  DOUBLE PRECISION D( * )  COMPLEX*16 E( * )
PURPOSEZPTTRF 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.
ARGUMENTSN (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. 0
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