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

Numerical Analysis 2016-04-26 v1

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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Cite

@article{arxiv.1604.06923,
  title  = {Any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms},
  author = {Kui Du},
  journal= {arXiv preprint arXiv:1604.06923},
  year   = {2016}
}

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5 pages