Convergence of Newton ’ S Method for Systems of Equations with Constant Rank Derivatives *

@inproceedings{Xu2007ConvergenceON,
title={Convergence of Newton ’ S Method for Systems of Equations with Constant Rank Derivatives *},
author={Xiubin Xu},
year={2007}
}

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. Mathematics subject classification: 49M15, 65F20, 65H10.

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M. H. Kim

Ph.D. Thesis, • 1986

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