A highly efficient class of optimal fourth-order methods for solving nonlinear systems

被引：0
作者：
Alicia Cordero
Renso V. Rojas-Hiciano
Juan R. Torregrosa
Maria P. Vassileva
机构：
[1] Universitat Politècnica de València,Instituto Universitario de Matemática Multidisciplinar
[2] Pontificia Universidad Católica Madre y Maestra,Escuela de Ciencias Naturales y Exactas CSD
[3] Instituto Tecnológico de Santo Domingo,Área de Ciencias Básicas y Ambientales
来源：
Numerical Algorithms | 2024年 / 95卷
关键词：
Nonlinear systems; Iterative methods; Ermakov’s hyperfamily; Dynamical analysis; Stability; Order of convergence; Optimal method for systems; Highly efficient methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this manuscript, we present a new class of highly efficient two-parameter optimal iterative methods for solving nonlinear systems that generalizes Ostrowski’s method, King’s Family, Chun’s method, and KLAM Family in multidimensional context. This class is an extension to systems of the Ermakov’s Hyperfamily. The fourth order of convergence of the members of the class is demonstrated, thus obtaining optimal schemes for solving nonlinear systems. The high efficiency of the elements of the class is studied, compared with other known methods of the same order or even higher, and some numerical proofs are presented. We also analyze its robustness.
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页码：1879 / 1904
页数：25
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