Have a personal or library account? Click to login
On the local convergence of the Modified Newton method Cover
Open Access
|Dec 2020

References

  1. [1] E. Catinas, Estimating the radius of an attraction ball, Applied Mathematics Letters, 22, (2009), 712-71410.1016/j.aml.2008.08.007
  2. [2] J. A. Ezquerro and M. A. Hernández, An optimization of Chebyshev’s method, Journal of Complexity, 25, (2009), 343-36110.1016/j.jco.2009.04.001
  3. [3] M. A. Hernández-Veron and N. Romero, On the Local Convergence of a Third Order Family of Iterative Processes, Algorithms, 8, (2015), 1121-112810.3390/a8041121
  4. [4] St. Maruster, Estimating local radius of convergence, Symposium “Symbolic and Numeric Algorithm for Scientific Computation” (SYNASC), Workshop Iteratime Approximation of Fixed Points, 24-27 Sept. (2016) West University of Timisoara, Timisoara, Romania
  5. [5] J. M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equation in several variables, Acad. Press, New York, 1970
  6. [6] F. A. Potra and V. Ptak, Pitman, London, 1984
  7. [7] F. Soleymani, Optimal eighth-order simple root-finders free from derivative, WSEAS Transactions on Information Science and Applications, 8 No. 8, (2011), 293-299
  8. [8] R. Thukral, New modification of Newton with third order of convergence for solving nonlinear equation of type f (0) = 0, Amer. J. Comput. Appl. Math., 6 No.1, (2016), 14-18
  9. [9] J. F. Traub, Iterative methods for the solution of equations, Chelsea Publishing Company, New York, 1982
DOI: https://doi.org/10.2478/awutm-2019-0003 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 13 - 22
Published on: Dec 8, 2020
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2020 Ştefan Măruşter, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.