HEGVD: 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 and B is also positive definite. If eigenvectors are desired, it uses a divide and conquer algorithm. The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none. More...

Public Member Functions
subroutine	chegvd (itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, rwork, lrwork, iwork, liwork, info)

	la_chegvd

	la_whegvd

subroutine	zhegvd (itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, rwork, lrwork, iwork, liwork, info)

	la_zhegvd

Detailed Description

HEGVD: 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 and B is also positive definite. If eigenvectors are desired, it uses a divide and conquer algorithm. The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none.

Member Function/Subroutine Documentation

◆ chegvd()

subroutine la_lapack::hegvd::chegvd	(	integer(ilp), intent(in)	itype,
		character, intent(in)	jobz,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(*), intent(out)	w,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		integer(ilp), intent(out)	info
	)

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◆ la_chegvd()

la_lapack::hegvd::la_chegvd

◆ la_whegvd()

la_lapack::hegvd::la_whegvd

◆ la_zhegvd()

la_lapack::hegvd::la_zhegvd

◆ zhegvd()

subroutine la_lapack::hegvd::zhegvd	(	integer(ilp), intent(in)	itype,
		character, intent(in)	jobz,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(*), intent(out)	w,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		integer(ilp), intent(out)	info
	)