A new class of asynchronous iterative methods with order intervals
Résumé
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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