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Newton's Method for Analytic Systems of Equations with Constant Rank Derivatives

✍ Scribed by Jean-Pierre Dedieu; Myong-Hi Kim

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 154 KB
Volume: 18
Category: Article
ISSN: 0885-064X
DOI: 10.1006/jcom.2001.0612

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✦ Synopsis

In this paper we study the convergence properties of Newton's sequence for analytic systems of equations with constant rank derivatives. Our main result is an alpha-theorem which ensures the convergence of Newton's sequence to a leastsquare solution of this system.

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