General Ways of Constructing Accelerating Newton-like Iterations on Partially Ordered Topological Spaces

Abstract

In this study, we examine the monotone convergence of Newton-like methods to a solution of an equation on a partially ordered topological space setting. In particular we provide suucient conditions for the construction of accelerating sequences. This way the solution is obtained faster than in earlier results. 

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Cite this paper

@inproceedings{Argyros1997GeneralWO, title={General Ways of Constructing Accelerating Newton-like Iterations on Partially Ordered Topological Spaces}, author={Ioannis K. Argyros}, year={1997} }