On block minimal residual methods |
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| Institution: | 1. Faculté des sciences Agdal, Département de mathématiques et d’informatique, Rabat, Maroc;2. Université du Littoral, zone universitaire de la Mi-voix, batiment H. Poincaré, 50 rue F. Buisson, BP 699, F-62280 Calais Cedex, France;3. Ecole Normale Supérieure Takaddoum, Département d’Informatique, B.P. 5118, Av. Oued Akreuch, Takaddoum, Rabat, Maroc |
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| Abstract: | In the present work, we give some new results for block minimal residual methods when applied to multiple linear systems. Using the Schur complement, we develop new expressions for the approximation obtained, for the corresponding residual and for the Frobenius residual norm. These results could be used to derive new convergence properties for the block minimal residual methods. |
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