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Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions

Publication Type : Journal Article

Source : Mathematics. 6. 10.3390/math6110260.

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Keywords : local convergence; nonlinear systems; Banach space; Fréchet-derivative

Campus : Chennai

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : The convergence order of numerous iterative methods is obtained using derivatives of a higher order, although these derivatives are not involved in the methods. Therefore, these methods cannot be used to solve equations with functions that do not have such high-order derivatives, since their convergence is not guaranteed. The convergence in this paper is shown, relying only on the first derivative. That is how we expand the applicability of some popular methods

Cite this Research Publication : Janak Raj Sharma, Ioannis K. Argyros, Sunil Kumar, "Ball convergence of an efficient eighth order iterative method under weak conditions," Mathematics (2018), 6(11), 260; doi: 10.3390/math6110260.

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