Weerakoon-Fernando Method with Accelerated Third Order Convergence for Systems of Nonlinear Equations

dc.contributor.author	Nishani, H.P.S
dc.contributor.author	Weerakoon, S
dc.contributor.author	Fernando, T.G.I
dc.contributor.author	Liyanage, M
dc.date.accessioned	2020-01-23T10:03:11Z
dc.date.available	2020-01-23T10:03:11Z
dc.date.issued	2018
dc.identifier.citation	Nishani, H.P.S, et al.(2018)."Weerakoon-Fernando Method with Accelerated Third Order Convergence for Systems of Nonlinear Equations", International Journal of Mathematical Modelling and Numerical Optimization, 2018,8	en_US
dc.identifier.uri	http://dr.lib.sjp.ac.lk/handle/123456789/8855
dc.description.abstract	Weerakoon-Fernando Method (WFM) is a widely accepted third order iterative method introduced in the late 90s to solve nonlinear equations. Even though it has become so popular among numerical analysts resulting in hundreds of similar work for single variable case, after nearly two decades, nobody took the challenge of extending the method to multivariable systems. In this paper, we extend the WFM to functions of several variables and provide a rigorous proof for the third order convergence. This theory was supported by computational results using several systems of nonlinear equations. Computational algorithms were implemented using MATLAB. We further analyze the method mathematically and demonstrate the reason for the strong performance of WFM computationally, despite it requiring more function evaluations	en_US
dc.language.iso	en	en_US
dc.subject	Functions of several variables, Iterative Methods, Third Order Convergence, Weerakoon-Fernando Method, Newton’s Method	en_US
dc.title	Weerakoon-Fernando Method with Accelerated Third Order Convergence for Systems of Nonlinear Equations	en_US
dc.type	Article	en_US