cpttrf man page on Scientific

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CPTTRF(1)		 LAPACK routine (version 3.2)		     CPTTRF(1)

NAME
       CPTTRF - computes the L*D*L' factorization of a complex Hermitian posi‐
       tive definite tridiagonal 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	 posi‐
       tive  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) 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 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.

 LAPACK routine (version 3.2)	 November 2008			     CPTTRF(1)
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