On the Hybridization of the Double Step Length Method for Solving System of Nonlinear Equations

Autor:	A. S. Halilu, M. Y. Waziri, A. Abdullahi, A. Majumder
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	Malaysian Journal of Mathematical Sciences. 16:329-349
ISSN:	1823-8343 2289-750X
DOI:	10.47836/mjms.16.2.10
Popis:	A hybrid derivative-free double step length technique is proposed in this work in order to enhance the numerical results and convergence properties of the double direction and step length scheme. This is accomplished by combining a Picard-Mann hybrid iterative method proposed by Khan [Fix Point Theory and Applications, pp. 1-10, vol.69 (2013)] with the double step length approach. A derivative line search is employed in order to compute the two step lengths. Furthermore, a suitable acceleration parameter is developed to approximate the Jacobian matrix. Under some mild conditions, the proposed method is shown to converge globally. The numerical experiment presented in this paper illustrates the efficiency of the proposed method over some existing methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f4f915641a66345e1dc3e69e28b64af7 https://doi.org/10.47836/mjms.16.2.10 Zobrazit plný text záznamu Plný text ve formátu PDF