Any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms

preprint2016arXivOpen access

Abstract

We show that any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms, which is a complement for the results in [Duintjer Tebbens and Meurant, {\it SIAM J. Matrix Anal. Appl.}, 33 (2012), no. 3, pp. 958--978].

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