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Newton–Kantorovich Convergence Theorem of a Modified Newton’s Method Under the Gamma-Condition in a Banach Space

Journal of Optimization Theory and Applications, 2012
The authors study the semilocal convergence of the modified Newton's method having third-order convergence. A Newton-Kantorovich convergence theorem is established for the modified Newton's method under the gamma-condition in a Banach space to solve nonlinear equations.
Khan, Y., Chen, M., Wu, Q., Yildirim, A.
openaire   +3 more sources

The Newton-Kantorovich Theorem

The American Mathematical Monthly, 1968
openaire   +1 more source

On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions

Applied Mathematics and Computation, 2013
José M. Gutiérrez   +1 more
exaly  

A note on the Kantorovich theorem for Newton iteration

Journal of Computational and Applied Mathematics, 1993
exaly  

Newton's method for solving generalized equations: Kantorovich's and Smale's approaches

Journal of Mathematical Analysis and Applications, 2016
Samir Adly   +2 more
exaly  

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