Improved Complexity of a Homotopy Method for Locating an Approximate Zero

Authors

  • Ioannis K. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
  • Santhosh George Department of Mathematical and Computational Sciences, NIT Karnataka, 575025-India.

Keywords:

Approximate zero, Banach space, Homotopy method, Newton’s method, local, semi-local convergence, Lipschitz-type conditions

Abstract

The goal of this study is to extend the applicability of a homotopy method for locating an approximate zero using Newton’s method. The improvements are obtained using more precise Lipschitz-type functions than in earlier works and our new idea of restricted convergence regions. Moreover, these improvements are found under the same computational effort.

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Published

2018-06-30

Issue

Vol. 50 No. 2 (2018)

Section

Articles

How to Cite

Improved Complexity of a Homotopy Method for Locating an Approximate Zero. (2018). Punjab University Journal of Mathematics, 50(2), 1-10. https://pujm.pu.edu.pk/index.php/pujm/article/view/125