On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces

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Abstract

 The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the $L$-average, and a united convergence theory with its applications is presented.

Keywords:

Operator equation The family of Enler-Halley Iterations Cubical convergence.
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On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces. (2003). Journal of Computational Mathematics, 21(2), 195-200. https://www.global-sci.com/index.php/JCM/article/view/11545