SOME DEVELOPMENT FOR NEWTON'S METHOD UNDER MILD DIFFERENTIABILITY CONDITIONS

Authors

  • I.K. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
  • S.K. Khattri Department of Engineering, Stord Haugesund University College, Norway

Keywords:

Newton’s method, Banach space, Hölder continuity, Lipschitz continuity, semilocal convergence, Kantorovich hypothesis

Abstract

We develop a semilocal convergence analysis for Newton's method under mild differentiability conditions. Our sufficient convergence conditions can be weaker than conditions found in earlier studies such as [11-14,16,18-21]. Numerical examples are also provided.

Author Biography

S.K. Khattri, Department of Engineering, Stord Haugesund University College, Norway

Engineering and Full Professor

Additional Files

Published

06/12/2014

How to Cite

Argyros, I. ., & Khattri, S. . (2014). SOME DEVELOPMENT FOR NEWTON’S METHOD UNDER MILD DIFFERENTIABILITY CONDITIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 5(2), 81–90. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2756

Issue

Vol. 5 No. 2 (2014): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.