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Weerakoon-Fernando Method with accelerated third-order convergence for systems of nonlinear equations

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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 2018-04-26T03:03:47Z
dc.date.available 2018-04-26T03:03:47Z
dc.date.issued 2018
dc.identifier.citation Nishani, H.P.S., Weerakoon, S., Fernando, T.G.I., Liyanage, M. (2018). "Weerakoon-Fernando Method with accelerated third-order convergence for systems of nonlinear equations", International Journal of Mathematical Modelling and Numerical Optirnisation, Vol. 8 (3), pp. 287-304 en_US, si_LK
dc.identifier.uri http://dr.lib.sjp.ac.lk/handle/123456789/6957
dc.description.abstract Attached en_US, si_LK
dc.description.abstract Weerakoon-Fernando Method (WFM) is a widely accepted third order iterative method introduced in the late 1990s 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 analyse the method mathematically and demonstrate the reason for the strong performance of WFM computationally, despite it requiring more function evaluations.
dc.language.iso en_US en_US, si_LK
dc.publisher International Journal of Mathematical Modelling and Numerical Optirnisation en_US, si_LK
dc.subject functions of several variables en_US, si_LK
dc.subject iterative methods en_US, si_LK
dc.subject third order convergence en_US, si_LK
dc.subject Weerakoon-Fernando Method en_US, si_LK
dc.subject Newton's Method en_US, si_LK
dc.title Weerakoon-Fernando Method with accelerated third-order convergence for systems of nonlinear equations en_US, si_LK
dc.type Article en_US, si_LK


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