Summary of Choices.

Let us now turn to Table 5.1, in which we have listed these algorithms and added some information that may be helpful to decide which algorithm to use in a specific situation.

Table 5.1: Summary of algorithms for GHEPs

	Appl	Orth	IE	CE	M	# vec	Fact
Power	Dir		Yes	Slow	No	2	$B=LL^{\ast}$
	SI		-	Yes	Yes	3	$A-\sigma B=LDL^{\ast}$
Lanczos	Dir	local	Yes	No	No	6	$B=LL^{\ast}$
	Dir	sel $B$orth	Yes	Slow	No	Many	$B=LL^{\ast}$
	SI	full $B$orth	-	Yes	Yes	Moderate	$A-\sigma B=LDL^{\ast}$
Jac-Dav	Prec	full $B$orth	Yes	Yes	Slow	Few	ILU of $A-\theta B$