Abstract
A family of multi-point iterative methods for solving systems of nonlinear equations is described. Some classical methods are included in the mentioned family. Under certain conditions, convergence order is proved to be 2d + 1, where d is the order of the partial derivatives required to be zero in the solution. Moreover, different numerical tests confirm the theoretical results and allow us to compare these variants with Newton’s method.
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References
Cordero, A., Torregrosa, J.R.: Variants of Newton’s method for functions of several variables. Applied Mathematics and Computation 183, 199–208 (2006)
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© 2009 Springer-Verlag Berlin Heidelberg
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Cordero, A., Hueso, J.L., Martínez, E., Torregrosa, J.R. (2009). Multi-Point Iterative Methods for Systems of Nonlinear Equations. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_25
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DOI: https://doi.org/10.1007/978-3-642-02894-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02893-9
Online ISBN: 978-3-642-02894-6
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