Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 87, 2010 - Issue 15
Submit an article Journal homepage
188
Views
16
CrossRef citations to date
0
Altmetric
Section B

Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition

P. K. Parida Department of Mathematics, Indian Institute of Technology, Gandhinagar, 382424, IndiaCorrespondence[email protected]
&
D. K. Gupta Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India
Pages 3405-3419 | Received 15 Sep 2008, Accepted 03 May 2009, Published online: 16 Sep 2010

Citations (16)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Himanshu Kumar & P. K. Parida. (2019) On semilocal convergence of two step Kurchatov method. International Journal of Computer Mathematics 96:8, pages 1548-1566.
Read now
Lin Zheng & Chuanqing Gu. (2013) Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces. International Journal of Computer Mathematics 90:2, pages 423-434.
Read now

Articles from other publishers (14)

Chandni Kumari & P. K. Parida. (2021) Study of semilocal convergence analysis of Chebyshev’s method under new type majorant conditions. SeMA Journal 79:4, pages 677-697.
Crossref
N. Gupta & J. P. Jaiswal. (2021) Semilocal Convergence of Modified Chebyshev–Halley Method for Nonlinear Operators in Case of Unbounded Third Derivative. Numerical Analysis and Applications 14:1, pages 40-54.
Crossref
Neha Gupta & J. P. Jaiswal. (2019) On the Semi-local Convergence Analysis of Higher Order Iterative Method in Two Folds. International Journal of Applied and Computational Mathematics 5:6.
Crossref
Zhang Yong, Neha Gupta, J. P. Jaiswal & Kalyanasundaram Madhu. (2019) On the Semilocal Convergence of the Multi–Point Variant of Jarratt Method: Unbounded Third Derivative Case. Mathematics 7:6, pages 540.
Crossref
M. Prashanth, Abhimanyu Kumar, D. K. Gupta & S. S. Mosta. (2019) Deformed super-Halley’s iteration in Banach spaces and its local and semilocal convergence. Afrika Matematika 30:3-4, pages 413-431.
Crossref
Chandni Kumari & P. K. Parida. (2018) Local convergence analysis for Chebyshev’s method. Journal of Applied Mathematics and Computing 59:1-2, pages 405-421.
Crossref
Abhimanyu Kumar, Dharmendra K. Gupta, Eulalia Martínez & Sukhjit Singh. (2018) Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces. Complexity 2018, pages 1-11.
Crossref
Á. Alberto Magreñán & Ioannis K. Argyros. 2018. A Contemporary Study of Iterative Methods. A Contemporary Study of Iterative Methods 265 293 .
Himanshu Kumar & P. K. Parida. (2017) Three Step Kurchatov Method for Nondifferentiable Operators. International Journal of Applied and Computational Mathematics 3:4, pages 3683-3704.
Crossref
Maroju Prashanth & D. K. Gupta. (2014) Semilocal convergence for Super-Halley’s method under $$\omega $$ ω -differentiability condition. Japan Journal of Industrial and Applied Mathematics 32:1, pages 77-94.
Crossref
Lin Zheng, Ke Zhang & Liang Chen. (2015) ON THE CONVERGENCE OF A MODIFIED CHEBYSHEV-LIKE'S METHOD FOR SOLVING NONLINEAR EQUATIONS. Taiwanese Journal of Mathematics 19:1.
Crossref
Ángel Alberto Magreñán Ruiz & Ioannis K. Argyros. (2014) Two-step Newton methods. Journal of Complexity 30:4, pages 533-553.
Crossref
M. Prashanth, D. K. Gupta & S. Singh. (2014) Semilocal convergence for the Super-Halley’s method. Numerical Analysis and Applications 7:1, pages 70-84.
Crossref
Hongmin Ren & Ioannis K. Argyros. (2012) On the semi-local convergence of Halley’s method under a center-Lipschitz condition on the second Fréchet derivative. Applied Mathematics and Computation 218:23, pages 11488-11495.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.