Convergence properties of some block Krylov subspace methods for multiple linear systems |
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| Institution: | 1. Université Mohamed V, Faculté des sciences, Département de Mathématiques, Rabat, Maroc;2. Université du Littoral, Zone universitaire de la Mi-voix, Batiment H. Poincarré, 50 rue F. Buisson, BP 699, F-62280, Calais Cedex, France;3. Ecole Normale Supérieure Takaddoum, Département de Mathématiques, B.P. 5118, Av. Oued Akreuch, Takaddoum, Rabat, Maroc |
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| Abstract: | In the present paper, we give some convergence results of the global minimal residual methods and the global orthogonal residual methods for multiple linear systems. Using the Schur complement formulae and a new matrix product, we give expressions of the approximate solutions and the corresponding residuals. We also derive some useful relations between the norm of the residuals. |
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