NDLI: A numerical method for solving systems of nonlinear equations

Content Provider	Springer Nature Link
Author	Abramov, A. A. Yukh, L. F.
Copyright Year	2015
Abstract	Under certain conditions on nonlinear equations in a real finite-dimensional space, a numerical method for solving such equations is proposed. The method is based on the use of an auxiliary differential equation. A fairly rough approximate solution to this equation can be refined by applying Newton’s method to the original problem. The result produced by the auxiliary equation is automatically a good initial approximation for Newton’s method. This combination ensures that the original problem can be solved to the required accuracy starting from any initial approximation.
Starting Page	1794
Ending Page	1801
Page Count	8
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	55
Issue Number	11
e-ISSN	15556662
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-11-13
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	system of nonlinear equations Newton’s method Hadamard existence theorem Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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A numerical method for solving systems of nonlinear equations