SBGST: reduces a real symmetric-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**T*S by DPBSTF, using a split Cholesky factorization. A is overwritten by C = X**T*A*X, where X = S**(-1)*Q and Q is an orthogonal matrix chosen to preserve the bandwidth of A. More...

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

	la_dsbgst

	la_qsbgst

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

	la_ssbgst

Detailed Description

SBGST: reduces a real symmetric-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**T*S by DPBSTF, using a split Cholesky factorization. A is overwritten by C = X**T*A*X, where X = S**(-1)*Q and Q is an orthogonal matrix chosen to preserve the bandwidth of A.

Member Function/Subroutine Documentation

◆ dsbgst()

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

◆ la_dsbgst()

la_lapack::sbgst::la_dsbgst

◆ la_qsbgst()

la_lapack::sbgst::la_qsbgst

◆ la_ssbgst()

la_lapack::sbgst::la_ssbgst

◆ ssbgst()

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

The documentation for this interface was generated from the following file:

la_lapack.f90