Solving non-differentiable equations by a new one-point iterative method with memory |
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| Authors: | JA Ezquerro M Grau-Sánchez |
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| Institution: | a Department of Mathematics and Computation, University of La Rioja, 26004 Logroño, Spainb Department of Applied Mathematics II, Technical University of Catalonia, 08034 Barcelona, Spain |
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| Abstract: | We construct a new iterative method for approximating the solutions of nonlinear operator equations, where the operator involved is not differentiable. The algorithm proposed does not need to evaluate derivatives and is more efficient than the secant method. For this, we extend a result of Traub for one-point iterative methods to one-point iterative methods with memory. |
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| Keywords: | Nonlinear equation Non-differentiable operator The secant method Iterative method Order of convergence Computational efficiency |
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