On the global convergence of Chebyshev's iterative method
Copyright policy ) Amat, S.; Busquier, S.; Gutiérrez, J.M.; Hernández, M.A.;
On the global convergence of Chebyshev's iterative method
In [A. Melman, Geometry and convergence of Euler's and Halley's methods, SIAM Rev. 39(4) (1997) 728-735] the geometry and global convergence of Euler's and Halley's methods was studied. Now we complete Melman's paper by considering other classical third-order method: Chebyshev's method. By using the geometric interpretation of this method a global convergence theorem is performed. A comparison of the different hypothesis of convergence is also presented. © 2007 Elsevier B.V. All rights reserved.
Geometry global convergence, Computational Mathematics, Iterative methods, Applied Mathematics, Nonlinear equations
Geometry global convergence, Computational Mathematics, Iterative methods, Applied Mathematics, Nonlinear equations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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