Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations | Zendy

R. Thukral | Zendy

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Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations

Author(s) -

R. Thukral

Publication year - 2012

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/404635

Subject(s) - mathematics , nonlinear system , convergence (economics) , order (exchange) , iterative method , local convergence , function (biology) , root finding algorithm , mathematical optimization , mathematical analysis , physics , finance , quantum mechanics , evolutionary biology , economics , biology , economic growth

We introduce two higher-order iterative methods for finding multiple zeros of nonlinear equations. Per iteration the new methods require three evaluations of function and one of its first derivatives. It is proved that the two methods have a convergence of order five or six.

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