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Newton's Method for Underdetermined Systems of Equations Under the γ-Condition

✍ Scribed by He, Jin-Su; Wang, Jin-Hua; Li, Chong


Book ID
127060976
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
150 KB
Volume
28
Category
Article
ISSN
0163-0563

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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.