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clasyf.f(3)			    LAPACK			   clasyf.f(3)

NAME
       clasyf.f -

SYNOPSIS
   Functions/Subroutines
       subroutine clasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
	   CLASYF computes a partial factorization of a complex symmetric
	   matrix using the Bunch-Kaufman diagonal pivoting method.

Function/Subroutine Documentation
   subroutine clasyf (characterUPLO, integerN, integerNB, integerKB, complex,
       dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex,
       dimension( ldw, * )W, integerLDW, integerINFO)
       CLASYF computes a partial factorization of a complex symmetric matrix
       using the Bunch-Kaufman diagonal pivoting method.

       Purpose:

	    CLASYF computes a partial factorization of a complex symmetric matrix
	    A using the Bunch-Kaufman diagonal pivoting method. The partial
	    factorization has the form:

	    A  =  ( I  U12 ) ( A11  0  ) (  I	    0	 )  if UPLO = 'U', or:
		  ( 0  U22 ) (	0   D  ) ( U12**T U22**T )

	    A  =  ( L11	 0 ) ( D    0  ) ( L11**T L21**T )  if UPLO = 'L'
		  ( L21	 I ) ( 0   A22 ) (  0	    I	 )

	    where the order of D is at most NB. The actual order is returned in
	    the argument KB, and is either NB or NB-1, or N if N <= NB.
	    Note that U**T denotes the transpose of U.

	    CLASYF is an auxiliary routine called by CSYTRF. It uses blocked code
	    (calling Level 3 BLAS) to update the submatrix A11 (if UPLO = 'U') or
	    A22 (if UPLO = 'L').

       Parameters:
	   UPLO

		     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

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

	   NB

		     NB is INTEGER
		     The maximum number of columns of the matrix A that should be
		     factored.	NB should be at least 2 to allow for 2-by-2 pivot
		     blocks.

	   KB

		     KB is INTEGER
		     The number of columns of A that were actually factored.
		     KB is either NB-1 or NB, or N if N <= NB.

	   A

		     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, A contains details of the partial factorization.

	   LDA

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

	   IPIV

		     IPIV is INTEGER array, dimension (N)
		     Details of the interchanges and the block structure of D.

		     If UPLO = 'U':
			Only the last KB elements of IPIV are set.

			If IPIV(k) > 0, then rows and columns k and IPIV(k) were
			interchanged and D(k,k) is a 1-by-1 diagonal block.

			If IPIV(k) = IPIV(k-1) < 0, then rows and columns
			k-1 and -IPIV(k) were interchanged and D(k-1:k,k-1:k)
			is a 2-by-2 diagonal block.

		     If UPLO = 'L':
			Only the first KB elements of IPIV are set.

			If IPIV(k) > 0, then rows and columns k and IPIV(k) were
			interchanged and D(k,k) is a 1-by-1 diagonal block.

			If IPIV(k) = IPIV(k+1) < 0, then rows and columns
			k+1 and -IPIV(k) were interchanged and D(k:k+1,k:k+1)
			is a 2-by-2 diagonal block.

	   W

		     W is COMPLEX array, dimension (LDW,NB)

	   LDW

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

	   INFO

		     INFO is INTEGER
		     = 0: successful exit
		     > 0: if INFO = k, D(k,k) is exactly zero.	The factorization
			  has been completed, but the block diagonal matrix D is
			  exactly singular.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2013

       Contributors:

	     November 2013,  Igor Kozachenko,
			     Computer Science Division,
			     University of California, Berkeley

       Definition at line 178 of file clasyf.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2			Sat Nov 16 2013			   clasyf.f(3)
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