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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices
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by M. Jesús Castel, Violeta Migallón and José Penadés PDF
Math. Comp. 67 (1998), 209-220 Request permission

Abstract:

Non-stationary multisplitting algorithms for the solution of linear systems are studied. Convergence of these algorithms is analyzed when the coefficient matrix of the linear system is hermitian positive definite. Asynchronous versions of these algorithms are considered and their convergence investigated.
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Additional Information
  • M. Jesús Castel
  • Affiliation: Departamento de Tecnología Informática y Computación, Universidad de Alicante, E-03071 Alicante, Spain
  • Email: chus@dtic.ua.es
  • Violeta Migallón
  • Affiliation: Departamento de Tecnología Informática y Computación, Universidad de Alicante, E-03071 Alicante, Spain
  • Email: violeta@dtic.ua.es
  • José Penadés
  • Affiliation: Departamento de Tecnología Informática y Computación, Universidad de Alicante, E-03071 Alicante, Spain
  • Email: jpenades@dtic.ua.es
  • Received by editor(s): February 2, 1996
  • Received by editor(s) in revised form: July 29, 1996
  • Additional Notes: This research was supported by Spanish CICYT grant number TIC96-0718-C02-02.
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 209-220
  • MSC (1991): Primary 65F10, 65F15
  • DOI: https://doi.org/10.1090/S0025-5718-98-00893-X
  • MathSciNet review: 1433264