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A s-step Variant of the Double Orthogonal Series Algorithm

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • J.A. Alvarez-Dios

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

  • J.C. Cabaleiro

    (Universidade de Santiago de Compostela, Departamento de Electrónica e Computación)

  • G. Casal

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

Abstract

We use the s-step technique proposed by Chronopoulos in [2, 3] for creating a s-step variant of the Double Orthogonal Series algorithm (s-DOS). The original Double Orthogonal Series algorithm, proposed by M. Amara and J. C. Nédélec [1], converges for any nonsingular coefficient matrix of the linear system in n iterations at most, where n is the order of the system. We prove the convergence of the new s-DOS method in the integer part of n/s iterations at most.

Suggested Citation

  • J.A. Alvarez-Dios & J.C. Cabaleiro & G. Casal, 2006. "A s-step Variant of the Double Orthogonal Series Algorithm," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 937-944, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_93
    DOI: 10.1007/978-3-540-34288-5_93
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