Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 705–718
Abstract
The convergence properties of Newton's method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified convergence results, which include Kantorovich type theorems and Smale's point estimate theorems as special cases, are obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8724
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 705–718
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Newton's method Overdetermined system Lipschitz condition with $L$ average Convergence Rank.