New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems

Author:

Proinov Petko D.

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference60 articles.

1. A generalization of the Banach contraction principle with high order of convergence of successive approximations;Proinov;Nonlinear Anal.,2007

2. General local convergence theory for a class of iterative processes and its applications to Newton’s method;Proinov;J. Complexity,2009

3. On Newton’s method for functional equations;Kantorovich;Dokl. Acad. Nauk SSSR,1948

4. Newton’s method estimates from data at one point;Smale,1986

5. Iterative Solutions of Nonlinear Equations in Several Variables;Ortega,1970

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