local cr stability for iterative roots of orientation-preserving self-mappings on the interval

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ID: 214891
2014
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Abstract
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.
Reference Key
zeng2014journallocal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yingying Zeng
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/743032
URL
http://dx.doi.org/10.1155/2014/743032
Keywords
mathematics

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