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Zbl 1222.65046
Geum, Young Hee; Kim, Young Ik
A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function. (English)
[J] Comput. Math. Appl. 61, No. 11, 3278-3287 (2011). ISSN 0898-1221

Summary: A new family of four-step optimal multipoint iterative methods of order sixteen for solving nonlinear equations are developed along with their convergence properties. Numerical experiments with comparison to some existing methods are demonstrated to support the underlying theory.
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: sixteenth order; optimal order; error equation; asymptotic error constant; efficiency index; trivariate

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