chpgv.f man page on Oracle

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chpgv.f(3)			    LAPACK			    chpgv.f(3)

       chpgv.f -

       subroutine chpgv (ITYPE, JOBZ, UPLO, N, AP, BP, W, Z, LDZ, WORK, RWORK,

Function/Subroutine Documentation
   subroutine chpgv (integerITYPE, characterJOBZ, characterUPLO, integerN,
       complex, dimension( * )AP, complex, dimension( * )BP, real, dimension(
       * )W, complex, dimension( ldz, * )Z, integerLDZ, complex, dimension( *
       )WORK, real, dimension( * )RWORK, integerINFO)


	    CHPGV computes all the eigenvalues and, optionally, the eigenvectors
	    of a complex generalized Hermitian-definite eigenproblem, of the form
	    A*x=(lambda)*B*x,  A*Bx=(lambda)*x,	 or B*A*x=(lambda)*x.
	    Here A and B are assumed to be Hermitian, stored in packed format,
	    and B is also positive definite.


		     Specifies the problem type to be solved:
		     = 1:  A*x = (lambda)*B*x
		     = 2:  A*B*x = (lambda)*x
		     = 3:  B*A*x = (lambda)*x


		     JOBZ is CHARACTER*1
		     = 'N':  Compute eigenvalues only;
		     = 'V':  Compute eigenvalues and eigenvectors.


		     UPLO is CHARACTER*1
		     = 'U':  Upper triangles of A and B are stored;
		     = 'L':  Lower triangles of A and B are stored.


		     N is INTEGER
		     The order of the matrices A and B.	 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)*(2*n-j)/2) = A(i,j) for j<=i<=n.

		     On exit, the contents of AP are destroyed.


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

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


		     W is REAL array, dimension (N)
		     If INFO = 0, the eigenvalues in ascending order.


		     Z is COMPLEX array, dimension (LDZ, N)
		     If JOBZ = 'V', then if INFO = 0, Z contains the matrix Z of
		     eigenvectors.  The eigenvectors are normalized as follows:
		     if ITYPE = 1 or 2, Z**H*B*Z = I;
		     if ITYPE = 3, Z**H*inv(B)*Z = I.
		     If JOBZ = 'N', then Z is not referenced.


		     LDZ is INTEGER
		     The leading dimension of the array Z.  LDZ >= 1, and if
		     JOBZ = 'V', LDZ >= max(1,N).


		     WORK is COMPLEX array, dimension (max(1, 2*N-1))


		     RWORK is REAL array, dimension (max(1, 3*N-2))


		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value
		     > 0:  CPPTRF or CHPEV returned an error code:
			<= N:  if INFO = i, CHPEV failed to converge;
			       i off-diagonal elements of an intermediate
			       tridiagonal form did not convergeto zero;
			> N:   if INFO = N + i, for 1 <= i <= n, then the leading
			       minor of order i of B is not positive definite.
			       The factorization of B could not be completed and
			       no eigenvalues or eigenvectors were computed.

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   November 2011

       Definition at line 165 of file chpgv.f.

       Generated automatically by Doxygen for LAPACK from the source code.

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

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