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http://dx.doi.org/10.14403/jcms.2013.26.3.657

ON A GENERAL CLASS OF OPTIMAL FOURTH-ORDER MULTIPLE-ROOT FINDERS  

Kim, Young Ik (Department of Applied Mathematics Dankook University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 657-669 More about this Journal
Abstract
A general class of two-point optimal fourth-order methods is proposed for locating multiple roots of a nonlinear equation. We investigate convergence analysis and computational properties for the family. Special and simple cases are considered for real-life applications. Numerical experiments strongly verify the convergence behavior and the developed theory.
Keywords
fourth-order convergence; optimal order; asymptotic error constant; efficiency index; multiple roots;
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