The field of values bound on ideal GMRES
Numerical Analysis
2020-07-17 v3 Numerical Analysis
Abstract
A widely known result of Elman, and its improvements due to Starke, Eiermann and Ernst, gives a bound on the worst-case GMRES residual norm using quantities related to the field of values of the given matrix and its inverse. We prove that these bounds also hold for the ideal GMRES approximation, and we derive and discuss some improvements of the bounds.
Keywords
Cite
@article{arxiv.1211.5969,
title = {The field of values bound on ideal GMRES},
author = {Jörg Liesen and Petr Tichý},
journal= {arXiv preprint arXiv:1211.5969},
year = {2020}
}
Comments
made some corrections and improvements