On efficient matrix-free method via quasi-Newton approach for solving system of nonlinear equations

Year 2021, Volume: 5 Issue: 4, 568 - 579, 30.12.2021

Muhammad Abdullahı Abubakar Halilu Aliyu Awwal Nuttapol Pakkaranang

https://doi.org/10.31197/atnaa.890281

Cited By: 4

Abstract

In this paper. a matrix-free method for solving large-scale system of nonlinear equations is presented. The method is derived via quasi-Newton approach, where the approximation to the Broyden's update is sufficiently done by constructing diagonal matrix using acceleration parameter. A fascinating feature of the method is that it is a matrix-free, so is suitable for solving large-scale problems. Furthermore, the convergence analysis and preliminary numerical results that is reported using a benchmark test problems, shows that the method is promising.

Keywords

Matrix-free, Descent Direction, Global Convergent, Acceleration parameter

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