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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Computational Complexity of the Euler Type Algorithms for the Roots of Polynomials

M. H. Kim
Ph.D. Thesis, • 1986
View 5 Excerpts
Highly Influenced

Newton’s method estimates from data at one point

S. Smale
The Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics, Eds. R. Ewing, K. Gross, and C. Maring, Springer-Verlag, New York/Berlin • 1986
View 10 Excerpts
Highly Influenced

Generalized Inverse: Theory and Computations

G. Wang, Y. Wei, S. Qiao
Science Press, Beijing/New York • 2004

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