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Journal Articles Mathematics of Computation Year : 1998

A new class of asynchronous iterative methods with order intervals

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Abstract

This paper deals with a new class of parallel asynchronous iterative algorithms for the solution of nonlinear systems of equations. The main feature of the new class of methods preseted here is the possibility of flexible commmunication between processors. In particular partial updates can be exchanged. Approximation of the asssociated fixed point mapping is also considered. A detailed convergengence study is presented. A connection with the Schwarz alternating method is made for nonlinear boundary value problems. Computational results on a shared memory multiprocessotr IBM 3090 are presented.
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Dates and versions

hal-01152366 , version 1 (16-05-2015)

Identifiers

  • HAL Id : hal-01152366 , version 1

Cite

Jean-Claude Miellou, Didier El Baz, Pierre Spiteri. A new class of asynchronous iterative methods with order intervals. Mathematics of Computation, 1998, 67 (221), pp.237-255. ⟨hal-01152366⟩
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