Generalized overrelaxation and Gauss-Seidel convergence on Hilbert space-Reference-Cited by-同舟云学术

Generalized overrelaxation and Gauss-Seidel convergence on Hilbert space

Published:1972 Issue:2 Volume:35 Page:524-530
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hanna Michael P.

Abstract

We present a generalized result on Gauss-Seidel convergence for bounded linear operators on Hilbert space H \mathcal {H} . From this result, we obtain overrelaxation theorems of Petryshyn [4], [5], de Pillis [1], Ostrowski [3] and Reich [6].

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-035-02/S0002-9939-1972-0311100-1/S0002-9939-1972-0311100-1.pdf

Reference9 articles.

1. Gauss-Seidel convergence for operators on Hilbert space;de Pillis, John;SIAM J. Numer. Anal.,1973

2. On the linear iteration procedures for symmetric matrices;Ostrowski, A. M.;Rend. Mat. e Appl. (5),1954

3. On the generalized overrelaxation method for operation equations;Petryshyn, W. V.;Proc. Amer. Math. Soc.,1963

4. Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space;Petryshyn, W. V.;J. Math. Anal. Appl.,1970

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