Extended convergence analysis of Newton-Potra solver for equations

In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839.... The radius of the convergence ball and convergence order of the investigated so...

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Bibliographic Details
Main Authors:	Ioannis Argyros, Stepan M. Shakhno, Yurii Shunkin, Halyna Yarmola
Format:	Article
Language:	English
Published:	Publishing House of the Romanian Academy 2020-12-01
Series:	Journal of Numerical Analysis and Approximation Theory
Subjects:	nonlinear equation, nondifferentiable operator, local and semi-local convergence, order of convergence, divided difference
Online Access:	http://localhost/jnaat/journal/article/view/1186