CPSTRF man page on Oracle

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cpstrf.f(3)			    LAPACK			   cpstrf.f(3)

       cpstrf.f -

       subroutine cpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)

Function/Subroutine Documentation
   subroutine cpstrf (characterUPLO, integerN, complex, dimension( lda, * )A,
       integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real,
       dimension( 2*n )WORK, integerINFO)


	    CPSTRF computes the Cholesky factorization with complete
	    pivoting of a complex Hermitian positive semidefinite matrix A.

	    The factorization has the form
	       P**T * A * P = U**H * U ,  if UPLO = 'U',
	       P**T * A * P = L	 * L**H,  if UPLO = 'L',
	    where U is an upper triangular matrix and L is lower triangular, and
	    P is stored as vector PIV.

	    This algorithm does not attempt to check that A is positive
	    semidefinite. This version of the algorithm calls level 3 BLAS.


		     UPLO is CHARACTER*1
		     Specifies whether the upper or lower triangular part of the
		     symmetric matrix A is stored.
		     = 'U':  Upper triangular
		     = 'L':  Lower triangular


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


		     A is COMPLEX array, dimension (LDA,N)
		     On entry, the symmetric matrix A.	If UPLO = 'U', the leading
		     n by n upper triangular part of A contains the upper
		     triangular part of the matrix A, and the strictly lower
		     triangular part of A is not referenced.  If UPLO = 'L', the
		     leading n by n lower triangular part of A contains the lower
		     triangular part of the matrix A, and the strictly upper
		     triangular part of A is not referenced.

		     On exit, if INFO = 0, the factor U or L from the Cholesky
		     factorization as above.


		     LDA is INTEGER
		     The leading dimension of the array A.  LDA >= max(1,N).


		     PIV is INTEGER array, dimension (N)
		     PIV is such that the nonzero entries are P( PIV(K), K ) = 1.


		     RANK is INTEGER
		     The rank of A given by the number of steps the algorithm


		     TOL is REAL
		     User defined tolerance. If TOL < 0, then N*U*MAX( A(K,K) )
		     will be used. The algorithm terminates at the (K-1)st step
		     if the pivot <= TOL.


		     WORK is REAL array, dimension (2*N)
		     Work space.


		     INFO is INTEGER
		     < 0: If INFO = -K, the K-th argument had an illegal value,
		     = 0: algorithm completed successfully, and
		     > 0: the matrix A is either rank deficient with computed rank
			  as returned in RANK, or is indefinite.  See Section 7 of
			  LAPACK Working Note #161 for further information.

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   November 2011

       Definition at line 142 of file cpstrf.f.

       Generated automatically by Doxygen for LAPACK from the source code.

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

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