A Derivative-Free Decent Method Via Acceleration Parameter for Solving Systems of Nonlinear Equations

Autor:	M. H. Mamat, Abubakar Sani Halilu, M. Y. Waziri, M. K. Dauda
Rok vydání:	2019
Předmět:	symbols.namesake Acceleration Nonlinear system Transformation (function) Line search Jacobian matrix and determinant Diagonal matrix MathematicsofComputing_NUMERICALANALYSIS symbols Applied mathematics Derivative Newton's method Mathematics
Zdroj:	Open Journal of Science and Technology. 2:1-4
ISSN:	2664-7974 2664-7966
DOI:	10.31580/ojst.v2i3.931
Popis:	An algorithm for solving large-scale systems of nonlinear equations based on the transformation of the Newton method with the line search into a derivative-free descent method is introduced. Main idea used in the algorithm construction is to approximate the Jacobian by an appropriate diagonal matrix. Furthermore, the step length is calculated using inexact line search procedure. Under appropriate conditions, the proposed method is proved to be globally convergent under mild conditions. The numerical results presented show the efficiency of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::26e8a3eca458eceff2206a9ddbe3999f https://doi.org/10.31580/ojst.v2i3.931 Zobrazit plný text záznamu