The W4 method: A new multi-dimensional root-finding scheme for nonlinear systems of equations

Hirotada Okawa, Kotaro Fujisawa, Yu Yamamoto, Ryosuke Hirai, Nobutoshi Yasutake, Hiroki Nagakura, Shoichi Yamada

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a new class of method for solving nonlinear systems of equations, which, among other things, has four nice features: (i) it is inspired by the mathematical property of damped oscillators, (ii) it can be regarded as a simple extention to the Newton-Raphson(NR) method, (iii) it has the same local convergence as the NR method does, (iv) it has a significantly wider convergence region or the global convergence than that of the NR method. In this article, we present the evidence of these properties, applying our new method to some examples and comparing it with the NR method.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Sep 12

ASJC Scopus subject areas

  • General

Fingerprint Dive into the research topics of 'The W4 method: A new multi-dimensional root-finding scheme for nonlinear systems of equations'. Together they form a unique fingerprint.

Cite this