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Global approximate Newton methods
Authors:R. E. Bank  D. J. Rose
Affiliation:(1) Department of Mathematics, University of California at San Diego, 92093 La Jolla, California, USA;(2) Bell Laboratories, 07974 Murray Hill, New Jersey, USA
Abstract:
Summary We derive a class of globally and quadratically converging algorithms for a system of nonlinear equations,g(u)=0, whereg is a sufficiently smooth homeomorphism. Particular attention is directed to key parameters which control the iteration. Several examples are given that have been successful in solving the coupled nonlinear PDEs which arise in semiconductor device modelling.
Keywords:AMS(MOS): 65H 10  CR: 5.15
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