A family of Newton-type methods with seventh and eighth-order of convergence for solving systems of nonlinear equations-Reference-Cited by-同舟云学术

A family of Newton-type methods with seventh and eighth-order of convergence for solving systems of nonlinear equations

Published:2023-08-15 Issue:4 Volume:52 Page:1006-1021
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:
Short-container-title:

Author:

ZHANLAV Tugal¹^ORCID,MİJİDDORJ R.²^ORCID,KHUDER Otgondorj³^ORCID

Affiliation:

1. Institute of Mathematics and Digital Technology

2. Mongolian National University of Education

3. Mongolian University of Science and Technology

Abstract

In this work, we first develop a new family of three-step seventh- and eighth-order Newton-type iterative methods for solving systems of nonlinear equations. We also propose some different choices of parameter matrices that ensure the convergence order. The proposed family includes some known methods as special cases. The computational cost and efficiency index of our methods are discussed. Numerical experiments are conducted to support the theoretical results.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

Reference27 articles.

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