Julia Sets in Iterative kam Methods for Eigenvalue Problems

Autor:	Hans-Rudolf Jauslin, M. Cibils, M. Govin
Rok vydání:	1998
Předmět:	Mathematics::Dynamical Systems General Mathematics Applied Mathematics Mathematical analysis General Physics and Astronomy Perturbation (astronomy) Applied mathematics Statistical and Nonlinear Physics Julia set Eigenvalues and eigenvectors Mathematics
Zdroj:	Chaos, Solitons & Fractals. 9:1835-1846
ISSN:	0960-0779
DOI:	10.1016/s0960-0779(97)00187-2
Popis:	We present two iterative KAM methods for eigenvalue problems. We discuss their convergence properties for matrices of finite dimension when a perturbation parameter e is varied. We observe different domains separated by Julia sets related to avoided crossings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7dde17892c46978ef26d81778ba798ed https://doi.org/10.1016/s0960-0779(97)00187-2 Zobrazit plný text záznamu Full Text from ScienceDirect