Local convergence of bilinear operator free methods under weak conditions

Authors

  • I. K. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA Author
  • S. George Department of Mathematical and Computational Sciences, NIT Karnataka, India-575 025 Author

Keywords:

Newton's method, bilinear operator, radius of convergence, local convergence

Subjects:

49M15, 74G20, 41A25

Abstract

We study third-order Newton-type methods free of bilinear operators for solving nonlinear equations in Banach spaces. Our convergence conditions are weaker than the conditions used in earlier studies. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

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Published

2018-01-15

Issue

Vol. 70 No. 1 (2018): Vol. 70, Issue 1

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.