A REVIEW OF THE PRECONDITIONING TECHNIQUES BASED ON THE FAPINV ALGORITHM

In order to improve the speed of convergence of iterative methods to solve large sparse system of linear equations, one applies usually some form of preconditioning. In this paper, we review the basic properties of the well-known FAPINV preconditioner as well as some recent theoretical results on the existence of the preconditioner. Extraction of an ILU preconditioner from the FAPINV algorithm is also reviewed.