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RedHat 9 (Linux i386) - man page for cpttrf (redhat section l)

CPTTRF(l)					)					CPTTRF(l)

NAME
       CPTTRF  - compute the L*D*L' factorization of a complex Hermitian positive definite tridi-
       agonal matrix A

SYNOPSIS
       SUBROUTINE CPTTRF( N, D, E, INFO )

	   INTEGER	  INFO, N

	   REAL 	  D( * )

	   COMPLEX	  E( * )

PURPOSE
       CPTTRF computes the L*D*L' factorization of a complex Hermitian positive definite tridiag-
       onal 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) REAL 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 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 bidi-
	       agonal 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.

LAPACK version 3.0			   15 June 2000 				CPTTRF(l)


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