English

On Residual norms in the Rayleigh-Ritz and refined Projection methods

Numerical Analysis 2019-02-22 v1

Abstract

This paper derives bounds for the ratio of residual norms in the refined and Rayleigh- Ritz projection methods. To do this, it uses the Least squares and line search projection method proposed in [6]. The bound derived in this paper is less costly to compute. Further, it is practically useful to assess the superiority of the refined and the Rayleigh-Ritz projection methods one over the other.

Keywords

Cite

@article{arxiv.1902.08057,
  title  = {On Residual norms in the Rayleigh-Ritz and refined Projection methods},
  author = {Mashetti Ravibabu},
  journal= {arXiv preprint arXiv:1902.08057},
  year   = {2019}
}