English

On Solving Ill-Conditioned Linear Systems

Numerical Analysis 2016-02-18 v1

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.

Keywords

Cite

@article{arxiv.1602.05211,
  title  = {On Solving Ill-Conditioned Linear Systems},
  author = {Craig C. Douglas and Long Lee and Man-Chung Yeung},
  journal= {arXiv preprint arXiv:1602.05211},
  year   = {2016}
}
R2 v1 2026-06-22T12:51:45.324Z