The global Hessenberg and CMRH methods for linear systems with multiple right-hand sides |
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Authors: | M Heyouni |
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Institution: | (1) Université du Littoral Côte d'Opale, zone universitaire de la Mi-voix, batiment H. Poincaré, 50 rue F. Buisson, BP 699, F-62228 Calais cedex, France |
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Abstract: | In this paper, we introduce two new methods for solving large sparse nonsymmetric linear systems with several right-hand sides. These methods are the global Hessenberg and global CMRH methods. Using the global Hessenberg process, these methods are less expensive than the global FOM and global GMRES methods 9]. Theoretical results about the new methods are given, and experimental results that show good performances of these new methods are presented. |
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Keywords: | linear systems multiple right-hand sides matrix Krylov subspace global Arnoldi global Hessenberg FOM GMRES CMRH |
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