Craig C. Douglas, Long Lee, and Man-Chung Yeung


On Solving Ill Conditioned Linear Systems



Abstract


This paper presents the first results to combine two theoretically sound methods (spectral projection and multigrid methods) together to attack ill conditioned linear systems. Our preliminary results show that the proposed algorithm applied to a Krylov subspace method takes much fewer iterations for solving an ill conditioned problem downloaded from a popular online sparse matrix collection.