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.

Ioannis K. Argyros, Santhosh George. (2018) Improved Complexity of a Homotopy Method for Locating an Approximate Zero, Punjab University Journal of Mathematics, Volume 50, Issue 2.
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