On a 4-Point Sixteenth-Order King Family of Iterative Methods for Solving Nonlinear Equations | Zendy

D.K.R. Babajee | Zendy; R. Thukral | Zendy

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On a 4-Point Sixteenth-Order King Family of Iterative Methods for Solving Nonlinear Equations

Author(s) -

D.K.R. Babajee,

R. Thukral

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/979245

Subject(s) - mathematics , conjecture , order (exchange) , convergence (economics) , nonlinear system , type (biology) , point (geometry) , iterative method , pure mathematics , mathematical optimization , geometry , ecology , physics , finance , quantum mechanics , economics , biology , economic growth

A one-parameter 4-point sixteenth-order King-type family of iterative methods which satisfy the famous Kung-Traub conjecture is proposed. The convergence of the family is proved, and numerical experiments are carried out to find the best member of the family. In most experiments, the best member was found to be a sixteenth-order Ostrowski-type method.

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