Incomplete block matrix factorization preconditioning methods. The ultimate answer?

摘要

A considerable interest has been devoted to block matrix incomplete factorization preconditioning methods in recent time, see [12,2,3,4,6,7,8,10 and 21].The purpose of this paper is to survey some of these results and to present new results showing how much more efficient and robust such methods can be as compared to other, admittingly also efficient, methods such as pointwise incomplete factorization preconditioning methods and multilevel methods with hierarchical basis functions, both on scalar as well as on parallel or vectorizable computers.