Asynchronous two-stage iterative methods
Numerische Mathematik
Asynchronous iterative algorithms with flexible communication for nonlinear network flow problems
Journal of Parallel and Distributed Computing
A new class of asynchronous iterative algorithms with order intervals
Mathematics of Computation
Asynchronous Iterative Methods for Multiprocessors
Journal of the ACM (JACM)
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We consider an optimal control problem without constraint. The solution of this problem leads to a large scale block linear system. We present a two-stage method which is well suited to an asynchronous implementation with flexible communication whereby every processor can have access at any time and without any fixed rule to the current value of the components of the iteration vector updated by any other processor. The implementation is carried out on three types of architecture: a super computer with distributed memory CRAY T3E, a shared memory symmetric multiprocessor (SMP) and a high speed network of SMP.