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zhbgst.f(3)				      LAPACK				      zhbgst.f(3)

       zhbgst.f -

       subroutine zhbgst (VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X, LDX, WORK, RWORK, INFO)

Function/Subroutine Documentation
   subroutine zhbgst (characterVECT, characterUPLO, integerN, integerKA, integerKB, complex*16,
       dimension( ldab, * )AB, integerLDAB, complex*16, dimension( ldbb, * )BB, integerLDBB,
       complex*16, dimension( ldx, * )X, integerLDX, complex*16, dimension( * )WORK, double
       precision, dimension( * )RWORK, integerINFO)


	    ZHBGST reduces a complex Hermitian-definite banded generalized
	    eigenproblem  A*x = lambda*B*x  to standard form  C*y = lambda*y,
	    such that C has the same bandwidth as A.

	    B must have been previously factorized as S**H*S by ZPBSTF, using a
	    split Cholesky factorization. A is overwritten by C = X**H*A*X, where
	    X = S**(-1)*Q and Q is a unitary matrix chosen to preserve the
	    bandwidth of A.


		     VECT is CHARACTER*1
		     = 'N':  do not form the transformation matrix X;
		     = 'V':  form X.


		     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 matrices A and B.  N >= 0.


		     KA is INTEGER
		     The number of superdiagonals of the matrix A if UPLO = 'U',
		     or the number of subdiagonals if UPLO = 'L'.  KA >= 0.


		     KB is INTEGER
		     The number of superdiagonals of the matrix B if UPLO = 'U',
		     or the number of subdiagonals if UPLO = 'L'.  KA >= KB >= 0.


		     AB is COMPLEX*16 array, dimension (LDAB,N)
		     On entry, the upper or lower triangle of the Hermitian band
		     matrix A, stored in the first ka+1 rows of the array.  The
		     j-th column of A is stored in the j-th column of the array AB
		     as follows:
		     if UPLO = 'U', AB(ka+1+i-j,j) = A(i,j) for max(1,j-ka)<=i<=j;
		     if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+ka).

		     On exit, the transformed matrix X**H*A*X, stored in the same
		     format as A.


		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= KA+1.


		     BB is COMPLEX*16 array, dimension (LDBB,N)
		     The banded factor S from the split Cholesky factorization of
		     B, as returned by ZPBSTF, stored in the first kb+1 rows of
		     the array.


		     LDBB is INTEGER
		     The leading dimension of the array BB.  LDBB >= KB+1.


		     X is COMPLEX*16 array, dimension (LDX,N)
		     If VECT = 'V', the n-by-n matrix X.
		     If VECT = 'N', the array X is not referenced.


		     LDX is INTEGER
		     The leading dimension of the array X.
		     LDX >= max(1,N) if VECT = 'V'; LDX >= 1 otherwise.


		     WORK is COMPLEX*16 array, dimension (N)


		     RWORK is DOUBLE PRECISION array, dimension (N)


		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value.

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   November 2011

       Definition at line 165 of file zhbgst.f.

       Generated automatically by Doxygen for LAPACK from the source code.

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