A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function

Authors:
Young Hee Geum;Young Ik Kim
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 4
Cited 2

Optimal Order of One-Point and Multipoint Iteration

Journal of the ACM (JACM)
The Mathematica Book

The Mathematica Book
Three-step iterative methods with eighth-order convergence for solving nonlinear equations

Journal of Computational and Applied Mathematics
On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency

SIAM Journal on Numerical Analysis

Simply constructed family of a Ostrowski's method with optimal order of convergence

Computers & Mathematics with Applications
Optimal eighth-order simple root-finders free from derivative

WSEAS Transactions on Information Science and Applications

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Abstract

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.