Summary of Choices.

In Table 4.1, we have listed the above algorithms and added some information that may be helpful to decide which algorithm to use in a specific situation.

Table 4.1: Summary of algorithms for HEPs

	Appl	Orth	IE	CE	M	# vec	Fact
Power	Dir		Yes	Very slow	No	2	-
	SI		-	Yes	Yes	2	LU
Subspace iter	Dir	FO	Yes	Slow	No	Moderate	-
	SI	FO	-	Yes	Yes	Moderate	LU
Lanczos	Dir	local	Yes	No	No	3	-
	Dir	SO	Yes	Slow	No	Many	-
	SI	FO	-	Yes	Yes	Moderate	LU
IR Lanczos	Dir	FO	Yes	Slow	No	Few	-
	SI	FO	-	Yes	Yes	Fewer	LU
Band	Dir	FO	Yes	Yes	No	Many	-
Lanczos	SI	FO	-	Yes	Yes	Moderate	LU
Jac-Dav	Dir	FO	Slow	Slow	No	Few	-
	Prec	FO	Yes	Yes	Slow	Few	ILU
	SI	FO	-	Yes	Yes	Few	LU