On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications | Zendy

Sergio Amat | Zendy; C. Bermúdez | Zendy; Sonia Busquier | Zendy; M.J. Legaz | Zendy; Sergio Plaza | Zendy

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On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications

Author(s) -

Sergio Amat,

C. Bermúdez,

Sonia Busquier,

M.J. Legaz,

Sergio Plaza

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/782170

Subject(s) - mathematics , banach space , convergence (economics) , quadratic equation , nonlinear system , class (philosophy) , order (exchange) , iterative method , type (biology) , mathematical analysis , rate of convergence , mathematical optimization , geometry , computer science , ecology , channel (broadcasting) , physics , computer network , finance , quantum mechanics , artificial intelligence , economics , biology , economic growth

This paper is devoted to the study of a class of high-order iterativemethods for nonlinear equations on Banach spaces. An analysis ofthe convergence under Kantorovich-type conditions is proposed. Somenumerical experiments, where the analyzed methods present better behaviorthan some classical schemes, are presented. These applicationsinclude the approximation of some quadratic and integral equations

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