On asynchronous iterations

doi:10.1016/S0377-0427(00)00409-X

Journal of Computational and Applied Mathematics

Volume 123, Issues 1–2, 1 November 2000, Pages 201-216

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Abstract

Asynchronous iterations arise naturally on parallel computers if one wants to minimize idle times. This paper reviews certain models of asynchronous iterations, using a common theoretical framework. The corresponding convergence theory and various domains of applications are presented. These include nonsingular linear systems, nonlinear systems, and initial value problems.

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¹: Supported by National Science Foundation grants DMS-9625865 and DMS-9973219.