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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generalized overrelaxation and Gauss-Seidel convergence on Hilbert space
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by Michael P. Hanna
Proc. Amer. Math. Soc. 35 (1972), 524-530
DOI: https://doi.org/10.1090/S0002-9939-1972-0311100-1

Abstract:

We present a generalized result on Gauss-Seidel convergence for bounded linear operators on Hilbert space $\mathcal {H}$. From this result, we obtain overrelaxation theorems of Petryshyn [4], [5], de Pillis [1], Ostrowski [3] and Reich [6].
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 524-530
  • MSC: Primary 65J05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0311100-1
  • MathSciNet review: 0311100