Local C1 stability versus global C1 unstability for iterative roots

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:386

Article

Zhang, Wenmeng^1,2,3  Zeng, Yingying^1,2  Jarczyk, Witold³  Zhang, Weinian^1,2 

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[3] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65516 Zielona Gora, Poland

关键词: Iterative root;    Stability;    Perturbation;    Pulse;   

DOI  :  10.1016/j.jmaa.2011.07.045

来源: Elsevier

【 摘 要 】

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 C stable in both the local sense and the global sense. In this paper we discuss the C-1 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 C-1 stable but globally C-1 unstable. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free