The Convergence Ball and Error Analysis of the Relaxed Secant Method
Joint Authors
Wu, Qingbiao
Chen, Minhong
Liu, Lu
Lin, Rongfei
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A relaxed secant method is proposed.
Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order.
The error estimate is also established with matched convergence order.
From the radius and error estimate, the relation between the radius and the speed of convergence is discussed with parameter.
At last, some numerical examples are given.
American Psychological Association (APA)
Lin, Rongfei& Wu, Qingbiao& Chen, Minhong& Liu, Lu. 2017. The Convergence Ball and Error Analysis of the Relaxed Secant Method. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1123274
Modern Language Association (MLA)
Lin, Rongfei…[et al.]. The Convergence Ball and Error Analysis of the Relaxed Secant Method. Advances in Mathematical Physics No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1123274
American Medical Association (AMA)
Lin, Rongfei& Wu, Qingbiao& Chen, Minhong& Liu, Lu. The Convergence Ball and Error Analysis of the Relaxed Secant Method. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1123274
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123274
