Reduced Recurrence Relations for the Chebyshev Method |
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| Authors: | Hernández M A |
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| Institution: | (1) Department of Mathematics and Computation, University of La Rioja, Logroño, Spain |
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| Abstract: | In this paper, we give sufficient conditions ensuring the convergence of the Chebyshev method in Banach spaces. We use a new system of recurrence relations which simplifies those given by Kantorovich for the Newton method or those given by Candela and Marquina for the Chebyshev and Halley methods. |
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| Keywords: | Chebyshev method nonlinear equations in Banach spaces third-order methods recurrence relations |
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