HPGVD: 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. 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	chpgvd (itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, rwork, lrwork, iwork, liwork, info)

	la_chpgvd

	la_whpgvd

subroutine	zhpgvd (itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, rwork, lrwork, iwork, liwork, info)

	la_zhpgvd

Detailed Description

HPGVD: 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. 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

◆ chpgvd()

subroutine la_lapack::hpgvd::chpgvd	(	integer(ilp), intent(in)	itype,
		character, intent(in)	jobz,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(*), intent(inout)	ap,
		complex(sp), dimension(*), intent(inout)	bp,
		real(sp), dimension(*), intent(out)	w,
		complex(sp), dimension(ldz,*), intent(out)	z,
		integer(ilp), intent(in)	ldz,
		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 )

Here is the call graph for this function:

◆ la_chpgvd()

la_lapack::hpgvd::la_chpgvd

◆ la_whpgvd()

la_lapack::hpgvd::la_whpgvd

◆ la_zhpgvd()

la_lapack::hpgvd::la_zhpgvd

◆ zhpgvd()

subroutine la_lapack::hpgvd::zhpgvd	(	integer(ilp), intent(in)	itype,
		character, intent(in)	jobz,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(*), intent(inout)	ap,
		complex(dp), dimension(*), intent(inout)	bp,
		real(dp), dimension(*), intent(out)	w,
		complex(dp), dimension(ldz,*), intent(out)	z,
		integer(ilp), intent(in)	ldz,
		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 )