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A faster King-Werner-type iteration and its convergence analysis

Publication Type : Journal Article

Source : Applicable Analysis. 99. 1-17. 10.1080/00036811.2019.156922

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Campus : Chennai

School : School of Engineering

Department : Mathematics

Verified : No

Year : 2019

Abstract : We introduce a new faster two-step King–Werner-type iterative method for solving nonlinear equations. The methodology is based on rational Hermite interpolation. The local as well as semi-local convergence analyses are presented under weak center Lipschitz and Lipschitz conditions. The convergence order is increased from to 3 without any additional function calculations. Another advantage is the convenient fact that this method does not use derivatives. Numerical examples further…

Cite this Research Publication : Sharma, Janak & Argyros, Ioannis & Kumar, Sunil. (2019). A faster King–Werner-type iteration and its convergence analysis. Applicable Analysis. 99. 1-17. 10.1080/00036811.2019.1569228.

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