|
|||||
|
|
Local C1 stability versus global C1 unstability for iterative roots |
|
| Authors: | Wenmeng Zhang Yingying Zeng Witold Jarczyk Weinian Zhang |
| Institution: | 1. Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;2. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland |
| Abstract: | Stability of iterative roots is important in the numerical computation of iterative roots. Known results show that under some conditions iterative roots of strictly monotonic self-mappings are stable in both the local sense and the global sense. In this paper we discuss the stability for iterative roots of strictly increasing self-mappings on a compact interval between two fixed points. We prove that those iterative roots are locally stable but globally unstable. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |