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Ostrowski-Kantorovich theorem and S -order of convergence of Halley method in Banach spaces

Dong Chen (1993)

Commentationes Mathematicae Universitatis Carolinae

Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in Banach spaces is presented. The complete expression of an upper bound for the method is given based on the initial information. Also some properties of S -order of convergence and sufficient asymptotic error bound will be discussed.

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