cpptrf.f man page on Oracle

Man page or keyword search:  
man Server   33470 pages
apropos Keyword Search (all sections)
Output format
Oracle logo
[printable version]

cpptrf.f(3)			    LAPACK			   cpptrf.f(3)

       cpptrf.f -

       subroutine cpptrf (UPLO, N, AP, INFO)

Function/Subroutine Documentation
   subroutine cpptrf (characterUPLO, integerN, complex, dimension( * )AP,


	    CPPTRF computes the Cholesky factorization of a complex Hermitian
	    positive definite matrix A stored in packed format.

	    The factorization has the form
	       A = U**H * U,  if UPLO = 'U', or
	       A = L  * L**H,  if UPLO = 'L',
	    where U is an upper triangular matrix and L is lower triangular.


		     UPLO is CHARACTER*1
		     = 'U':  Upper triangle of A is stored;
		     = 'L':  Lower triangle of A is stored.


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


		     AP is COMPLEX array, dimension (N*(N+1)/2)
		     On entry, the upper or lower triangle of the Hermitian matrix
		     A, packed columnwise in a linear array.  The j-th column of A
		     is stored in the array AP as follows:
		     if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
		     if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
		     See below for further details.

		     On exit, if INFO = 0, the triangular factor U or L from the
		     Cholesky factorization A = U**H*U or A = L*L**H, in the same
		     storage format as A.


		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value
		     > 0:  if INFO = i, the leading minor of order i is not
			   positive definite, and the factorization could not be

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   November 2011

       Further Details:

	     The packed storage scheme is illustrated by the following example
	     when N = 4, UPLO = 'U':

	     Two-dimensional storage of the Hermitian matrix A:

		a11 a12 a13 a14
		    a22 a23 a24
			a33 a34	    (aij = conjg(aji))

	     Packed storage of the upper triangle of A:

	     AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ]

       Definition at line 120 of file cpptrf.f.

       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2			Tue Sep 25 2012			   cpptrf.f(3)

List of man pages available for Oracle

Copyright (c) for man pages and the logo by the respective OS vendor.

For those who want to learn more, the polarhome community provides shell access and support.

[legal] [privacy] [GNU] [policy] [cookies] [netiquette] [sponsors] [FAQ]
Polarhome, production since 1999.
Member of Polarhome portal.
Based on Fawad Halim's script.
Vote for polarhome
Free Shell Accounts :: the biggest list on the net