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A note on the Kantorovich theorem for Newton iteration

  • Published:1993 Issue:2 Volume:47 Page:211-217
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

Zhengda Huang

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Optimal error bounds for the Newton-Kantorovich theorem;Gragg;SIAM J. Numer. Anal.,1974

2. On Newton's method;Kantorovich;Trudy Mat. Inst. Steklov.,1949

3. On the convergence of L.V. Kantorovich's method of solution of functional equations and its applications;Mysovskii;Dokl. Akad. Nauk. SSSR,1950

4. The Newton-Kantorovich theorem;Ortega;Amer. Math. Monthly,1968

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

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