A new look at CMRH and its relation to GMRES |
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Authors: | Hassane Sadok Daniel B Szyld |
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Institution: | (1) Laboratoire de Math?matiques Pures et Appliqu?es, Universit? du Littoral, Centre Universitaire de la Mi-Voix, B.P. 699, 62228 Calais Cedex, France;(2) Department of Mathematics, Temple University (038-16), 1805 N. Broad Street, Philadelphia, PA 19122-6094, USA |
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Abstract: | CMRH is a Krylov subspace method which uses the Hessenberg process to produce a basis of a Krylov method, and minimizes a quasiresidual. This method produces convergence curves which are very close to those of GMRES, but using fewer operations and storage. In this paper we present new analysis which explains why CMRH has this good convergence behavior. Numerical examples illustrate the new bounds. |
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