Local Cr Stability for Iterative Roots of Orientation-Preserving Self-Mappings on the Interval
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Stability of iterative roots is important in their numerical computation.
It is known that under some conditions iterative roots of orientation-preserving self-mappings are both globally C0 stable and locally C1 stable but globally C1 unstable.
Although the global C1 instability implies the general global Cr (r≥2) instability, the local C1 stability does not guarantee the local Cr (r≥2) stability.
In this paper we generally prove the local Cr (r≥2) stability for iterative roots.
For this purpose we need a uniform estimate for the approximation to the conjugation in Cr linearization, which is given by improving the method used for the C1 case.
American Psychological Association (APA)
Zeng, Yingying. 2014. Local Cr Stability for Iterative Roots of Orientation-Preserving Self-Mappings on the Interval. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495200
Modern Language Association (MLA)
Zeng, Yingying. Local Cr Stability for Iterative Roots of Orientation-Preserving Self-Mappings on the Interval. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-495200
American Medical Association (AMA)
Zeng, Yingying. Local Cr Stability for Iterative Roots of Orientation-Preserving Self-Mappings on the Interval. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495200
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495200