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arxiv: cmp-lg/9606015 · v1 · submitted 1996-06-11 · cmp-lg · chao-dyn· comp-gas· cond-mat· cs.CL· nlin.CD· nlin.CG

Stabilizing the Richardson Algorithm by Controlling Chaos

classification cmp-lg chao-dyncomp-gascond-matcs.CLnlin.CDnlin.CG
keywords algorithmchaoscontrollingrichardsonanalysisbehaviordiscretedynamical
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By viewing the operations of the Richardson purification algorithm as a discrete time dynamical process, we propose a method to overcome the instability of the algorithm by controlling chaos. We present theoretical analysis and numerical results on the behavior and performance of the stabilized algorithm.

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