Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes

被引：4

作者：

Cordero, Alicia ^{[1
]}

Rojas-Hiciano, Renso V. ^{[2
,3
]}

Torregrosa, Juan R. ^{[1
]}

Triguero-Navarro, Paula ^{[4
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Cami Vera S-N, Valencia 46022, Spain

[2] Pontificia Univ Catolica Madre & Maestra, Ciencias Nat & Exactas, Sarasota Ave, Santo Domingo 10109, Dominican Rep

[3] Inst Tecnol Santo Domingo, Ciencias Basicas & Ambientales, Santo Domingo 10602, Dominican Rep

[4] Ctr Univ EDEM Escuela Empresarios, Placa Aigua S-N, Valencia 46024, Spain

来源：

NUMERICAL ALGORITHMS | 2024年 / 97卷 / 04期

关键词：

Iterative scheme; Non-linear systems; Jacobian-free; Efficiency index;

D O I：

10.1007/s11075-024-01776-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. Several numerical experiments are made in order to compare the behaviour of the proposed family with other competitive methods of the literature.

引用

页码：2011 / 2029

页数：19

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