Efficient families of Newton’s method and its variants suitable for non-convergent cases

Author:

Kanwar V.,Kumar Sanjeev,Kansal Munish,Garg Arvind

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Traub, J.F.: Iterative Methods for the Solution of Equations. Prentice-Hall, New Jersey (1964)

2. Schröder’s, E.: Über unendlich viele Algorithmen Zur Auflösung der Gleichungen. Math. Ann. 2, 317–365 (1870)

3. McNamee, J.M., Pan, V.Y.: Numerical methods for roots of polynomials. Part II. In: Studies in Computational Mathematics, vol. 16. Elsevier, Amsterdam (2013)

4. Chun, C.: A one-parameter family of third-order methods to solve nonlinear equations. Appl. Math. Comput. 189(1), 126–130 (2007)

5. Fletcher, F.: Practical Methods of Optimization. Wiley, New York (1987)

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