HBGST: 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 CPBSTF, 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. More...

Public Member Functions
pure subroutine	chbgst (vect, uplo, n, ka, kb, ab, ldab, bb, ldbb, x, ldx, work, rwork, info)

	la_chbgst

	la_whbgst

pure subroutine	zhbgst (vect, uplo, n, ka, kb, ab, ldab, bb, ldbb, x, ldx, work, rwork, info)

	la_zhbgst

Detailed Description

HBGST: 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 CPBSTF, 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.

Member Function/Subroutine Documentation

◆ chbgst()

pure subroutine la_lapack::hbgst::chbgst	(	character, intent(in)	vect,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	ka,
		integer(ilp), intent(in)	kb,
		complex(sp), dimension(ldab,*), intent(inout)	ab,
		integer(ilp), intent(in)	ldab,
		complex(sp), dimension(ldbb,*), intent(in)	bb,
		integer(ilp), intent(in)	ldbb,
		complex(sp), dimension(ldx,*), intent(out)	x,
		integer(ilp), intent(in)	ldx,
		complex(sp), dimension(*), intent(out)	work,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(out)	info )

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◆ la_chbgst()

la_lapack::hbgst::la_chbgst

◆ la_whbgst()

la_lapack::hbgst::la_whbgst

◆ la_zhbgst()

la_lapack::hbgst::la_zhbgst

◆ zhbgst()

pure subroutine la_lapack::hbgst::zhbgst	(	character, intent(in)	vect,
		character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	ka,
		integer(ilp), intent(in)	kb,
		complex(dp), dimension(ldab,*), intent(inout)	ab,
		integer(ilp), intent(in)	ldab,
		complex(dp), dimension(ldbb,*), intent(in)	bb,
		integer(ilp), intent(in)	ldbb,
		complex(dp), dimension(ldx,*), intent(out)	x,
		integer(ilp), intent(in)	ldx,
		complex(dp), dimension(*), intent(out)	work,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(out)	info )