Analysis of Convergence for Improved Chebyshev-Halley Methods Under Different Conditions

Abstract

In this paper, we study a class of improved Chebyshev–Halley methods in Banach spaces and prove the semilocal convergence for these methods. Compared with the super-Halley method, these methods need one less inversion of an operator, and the R-order of these methods is also higher than the one of super-Halley method under the same conditions. Using… (More)
DOI: 10.1007/s10957-013-0443-0

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