Araştırma Makalesi

An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations

Cilt: 6 Sayı: 3 30 Eylül 2022
PDF İndir
EN

An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations

Öz

In this paper, we compare the radii of convergence of two sixth convergence order methods for solving the nonlinear equations. We present the local convergence analysis not given before, which is based on the first Fréchet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper.

Anahtar Kelimeler

Kaynakça

  1. [1] I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach spaces, J. Math. Anal. Appl. 298 (2004) 374-397.
  2. [2] I.K. Argyros, Convergence and Applications of Newton-Type Iterations, Springer-Verlag, New York, 2008.
  3. [3] I.K. Argyros, Computational Theory of Iterative Methods, Series: Studies in Computational Mathematics, 15, Editors: Chui C.K. and Wuytack L. Elsevier Publ. Company, New York (2007).
  4. [4] I.K. Argyros, Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications, Mathematics 2021, 9(16), 1942; https://doi. org/10.3390/math9161942.
  5. [5] I.K. Argyros, A.A. Magreñán, Iterative method and their dynamics with applications, CRC Press, New York, USA, 2017.
  6. [6] I.K. Argyros, S. George, A.A. Magreñán, Local convergence for multi-point- parametric Chebyshev-Halley-type method of higher convergence order. J. Comput. Appl. Math. 282, 215-224 (2015).
  7. [7] I.K. Argyros, A.A. Magreñán, A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Numer. Algorithms 71, 1-23, (2015).
  8. [8] I.K. Argyros, S. George, On the complexity of extending the convergence region for Traub's method, Journal of Complexity 56, 101423.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2022

Gönderilme Tarihi

12 Ocak 2022

Kabul Tarihi

14 Mart 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 3

Kaynak Göster

APA
Regmi, S., Argyros, I. K., George, S., & Argyros, C. (2022). An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. Advances in the Theory of Nonlinear Analysis and its Application, 6(3), 310-317. https://doi.org/10.31197/atnaa.1056652
AMA
1.Regmi S, Argyros IK, George S, Argyros C. An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. ATNAA. 2022;6(3):310-317. doi:10.31197/atnaa.1056652
Chicago
Regmi, Samundra, Ioannis K. Argyros, Santhosh George, ve Christopher Argyros. 2022. “An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations”. Advances in the Theory of Nonlinear Analysis and its Application 6 (3): 310-17. https://doi.org/10.31197/atnaa.1056652.
EndNote
Regmi S, Argyros IK, George S, Argyros C (01 Eylül 2022) An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. Advances in the Theory of Nonlinear Analysis and its Application 6 3 310–317.
IEEE
[1]S. Regmi, I. K. Argyros, S. George, ve C. Argyros, “An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations”, ATNAA, c. 6, sy 3, ss. 310–317, Eyl. 2022, doi: 10.31197/atnaa.1056652.
ISNAD
Regmi, Samundra - Argyros, Ioannis K. - George, Santhosh - Argyros, Christopher. “An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations”. Advances in the Theory of Nonlinear Analysis and its Application 6/3 (01 Eylül 2022): 310-317. https://doi.org/10.31197/atnaa.1056652.
JAMA
1.Regmi S, Argyros IK, George S, Argyros C. An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. ATNAA. 2022;6:310–317.
MLA
Regmi, Samundra, vd. “An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 3, Eylül 2022, ss. 310-7, doi:10.31197/atnaa.1056652.
Vancouver
1.Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher Argyros. An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. ATNAA. 01 Eylül 2022;6(3):310-7. doi:10.31197/atnaa.1056652