Abstract
The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but convergence is not guaranteed, which is the reason why several modifications of that method have been proposed. Here we present some modifications of the Newton-Raphson method, and we study the convergence of those methods through cases.
Publisher
Universidad Pedagogica y Tecnologica de Colombia
Reference23 articles.
1. M. Allen and E. Isaacson. Numerical analysis for applied science. John Wiley and Sons, 2nd edition, 2019.
2. R. Burden and J. Faires. Numerical analysis, 9th edition, Cengage learning, 2011.
3. S. Chapra and R. Canale. Numerical methods for engineers, Mc Graw Hill, 7th edition, 2015.
4. W. Cheney and D. Kincaid. Numerical mathematics and computing, Cengage learning, 7th edition, 2013.
5. P. Deuflhard. A short history of Newton's method. Doc. Math., extra volume ISMP, p. 25-30, 2012.
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