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Alicia Cordero, Miguel A. Leonardo Sepúlveda and Juan R. Torregrosa
In this manuscript, we propose a parametric family of iterative methods of fourth-order convergence, and the stability of the class is studied through the use of tools of complex dynamics. We obtain the fixed and critical points of the rational operator ...
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Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda and Michael I. Argyros
A variety of strategies are used to construct algorithms for solving equations. However, higher order derivatives are usually assumed to calculate the convergence order. More importantly, bounds on error and uniqueness regions for the solution are also n...
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Ankush Aggarwal and Sanjay Pant
Finding roots of equations is at the heart of most computational science. A well-known and widely used iterative algorithm is Newton?s method. However, its convergence depends heavily on the initial guess, with poor choices often leading to slow converge...
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Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi and Juan R. Torregrosa
It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial estimations. In multivariate case, ...
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