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Enlarging the convergence ball of Newton's method on Lie groups

We present a local convergence analysis of Newton's method for approximating a zero of a mapping from a Lie group into its Lie algebra. Using more precise estimates than before [55, 56] and under the same computational cost, we obtain a larger convergence ball and more precise error bounds on the d...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Ioannis K. Argyros, Saïd Hilout
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: Publishing House of the Romanian Academy 2015-12-01
Cyfres:Journal of Numerical Analysis and Approximation Theory
Pynciau:
Mynediad Ar-lein:https://www.ictp.acad.ro/jnaat/journal/article/view/1051
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