Frozen divided difference scheme for solving systems of nonlinear equations |
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Authors: | Miquel Grau-Sánchez Àngela Grau Miquel Noguera |
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Institution: | Technical University of Catalonia, Department of Applied Mathematics II, Jordi Girona 1-3, Omega, 08034 Barcelona, Spain |
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Abstract: | The development of an inverse first-order divided difference operator for functions of several variables, as well as a direct computation of the local order of convergence of an iterative method is presented. A generalized algorithm of the secant method for solving a system of nonlinear equations is studied and the maximum computational efficiency is computed. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced. |
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Keywords: | 65H10 65Y20 |
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