Discrete Newton's method with local variations for solving large-scale nonlinear systems

Autor:	M. A. Diniz-Ehrhardt, José Mario Martínez, Márcia A. Gomes-Ruggiero, Véra Lucia Rocha Lopes
Rok vydání:	2003
Předmět:	Control and Optimization Discretization Applied Mathematics Mathematical analysis Management Science and Operations Research Steffensen's method Local convergence symbols.namesake Nonlinear system Newton fractal Jacobian matrix and determinant symbols Newton's method CFD-DEM Mathematics
Zdroj:	Optimization. 52:417-440
ISSN:	1029-4945 0233-1934
DOI:	10.1080/02331930310001611538
Popis:	A globally convergent discrete Newton method is proposed for solving large-scale nonlinear systems of equations. Advantage is taken from discretization steps so that the residual norm can be reduced while the Jacobian is approximated, besides the reduction at Newtonian iterations. The Curtis–Powell–Reid (CPR) scheme for discretization is used for dealing with sparse Jacobians. Global convergence is proved and numerical experiments are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::29e1cddf9998549bc25bc83e934ae785 https://doi.org/10.1080/02331930310001611538 Zobrazit plný text záznamu