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An improved unifying convergence analysis of Newton’s method in Riemannian manifolds

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Abstract

Using more precise majorizing sequences we provide a finer convergence analysis than before [1], [7] of Newton’s method in Riemannian manifolds with the following advantages: weaker hypotheses, finer error bounds on the distances involved and a more precise information on the location of the singularity of the vector field.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Cameron University, 73505, Lawton, OK, USA

    Ioannis K. Argyros

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  1. Ioannis K. Argyros
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Correspondence to Ioannis K. Argyros.

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Argyros, I.K. An improved unifying convergence analysis of Newton’s method in Riemannian manifolds. J. Appl. Math. Comput. 25, 345–351 (2007). https://doi.org/10.1007/BF02832359

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  • DOI: https://doi.org/10.1007/BF02832359

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