Recent computational developments in Krylov subspace methods for linear systems |
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Authors: | Valeria Simoncini Daniel B Szyld |
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Institution: | 1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, I‐40127 Bologna, Italy;2. IMATI‐CNR, Pavia, and CIRSA, RavennaDipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, I‐40127 Bologna, Italy===;3. Department of Mathematics, Temple University (038‐16), 1805 N. Broad Street, Philadelphia, Pennsylvania 19122‐6094, U.S.A. |
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Abstract: | Many advances in the development of Krylov subspace methods for the iterative solution of linear systems during the last decade and a half are reviewed. These new developments include different versions of restarted, augmented, deflated, flexible, nested, and inexact methods. Also reviewed are methods specifically tailored to systems with special properties such as special forms of symmetry and those depending on one or more parameters. Copyright © 2006 John Wiley & Sons, Ltd. |
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Keywords: | Krylov subspaces iterative methods linear systems |
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