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An extended continuous Newton method

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Abstract

This paper describes a numerical realization of an extended continuous Newton method defined by Diener. It traces a connected set of locally one-dimensional trajectories which contains all critical points of a smooth functionf:ℝn→ℝ. The results show that the method is effectively applicable.

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Communicated by L. C. W. Dixon

The authors would like to thank L. C. W. Dixon for pointing out some errors in the original version of this paper and for several suggestions of improvements.

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Diener, I., Schaback, R. An extended continuous Newton method. J Optim Theory Appl 67, 57–77 (1990). https://doi.org/10.1007/BF00939735

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