Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian

It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution. In this paper, a differential continuation meth...

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Bibliographic Details
Main Author: Mohammad Ali Mehrpouya
Format: Article
Language:English
Published: Amirkabir University of Technology 2022-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4644_e756b9224e879823a1de07090b1f42f9.pdf