Some remarks on the restarted and augmented GMRES method

• ID: 2452, RIV: 10026541
• ISSN: 1068-9613, ISBN: not specified
• source: Electronic Transactions on Numerical Analysis (2008)
• keywords: remarks; restarted; augmented; GMRES; method
• authors: Jan Zítko
• authors from KNM: not assigned

Abstract

Starting from the residual estimates for GMRES, we present more general estimates which hold also for restarted and augmented GMRES. Sufficient conditions for convergence are formulated independently of the choice of an initial approximation.