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Optimal block accelerated overrelaxation method for a large class of 2-cyclic matrices

Papatheodorou, Théodore, Saridakis Ioannis

Πλήρης Εγγραφή

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Περίληψη

The problem of exactly determining the optimal pair of parameters for the block Accelerated Overrelaxation (AOR) method, when it applies to large linear systems with a 2-cyclic coefficient matrix, is considered. Under certain hypotheses, concerning the eigenvalues of the associated block Jacobi iteration matrix, explicit expressions of the optimal parameters and their corresponding spectral radius are obtained. These results extend, and correct, the literature on such applications.

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