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A modified chord Newton’s method for high-dimensional algebraic equations


Article Information

Title: A modified chord Newton’s method for high-dimensional algebraic equations

Authors: M. Y. Waziri, H. Aisha

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2012

Volume: 7

Issue: 4

Language: English

Categories

Abstract

There is a great deal of interest on reducing overall computational budget of classical Newton’s method for solving nonlinear systems of equations. The appealing approach is based on chord Newton’s but the method mostly requires high number of iteration as the dimension of the systems increases. In this paper, we introduce a new procedure that will reduce the well known shortcoming of Newton method. Our approach was implemented on some benchmarks nonlinear systems which show that, the proposed method is very encouraging.


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