On the Convergence Ball and Error Analysis of the Modified Secant Method
Joint Authors
Wu, Qingbiao
Chen, Minhong
Lei, Xuemin
Lin, Rongfei
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We aim to study the convergence properties of a modification of secant iteration methods.
We present a new local convergence theorem for the modified secant method, where the derivative of the nonlinear operator satisfies Lipchitz condition.
We introduce the convergence ball and error estimate of the modified secant method, respectively.
For that, we use a technique based on Fibonacci series.
At last, some numerical examples are given.
American Psychological Association (APA)
Lin, Rongfei& Wu, Qingbiao& Chen, Minhong& Lei, Xuemin. 2018. On the Convergence Ball and Error Analysis of the Modified Secant Method. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119107
Modern Language Association (MLA)
Lin, Rongfei…[et al.]. On the Convergence Ball and Error Analysis of the Modified Secant Method. Advances in Mathematical Physics No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1119107
American Medical Association (AMA)
Lin, Rongfei& Wu, Qingbiao& Chen, Minhong& Lei, Xuemin. On the Convergence Ball and Error Analysis of the Modified Secant Method. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119107
