Abstract
We discuss iterative KAM type methods for eigenvalue problems in finite dimensions. We compare their convergence properties with those of straight forward power series expansions.
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References
V.I. Arnold; Mathematical Methods of Classical Mechanics, Springer Vlg., 1978.
J. Moser; Stable and random motions in dynamical systems, Princeton U. Press, 1973.
J. Bellissard; in Trends in the Eighties, edited by S. Albeverio and Ph. Blanchard, World Scientific, Singapore 1985.
M. Combescure; Ann. Inst. H.Poincaré 47 (1987) 63; Ann. Phys. 185, 86(1988.
P. Blekher, H.R. Jauslin, J.L. Lebowitz; Floquet spectrum for two-level systems in quasiperiodic time dependent fields, J. Stat. Phys. 68, 271 (1992).
H.R. Jauslin; Small divisors in driven quantum systems, in Stochasticity and Quantum Chaos, Z. Haba, W. Cegla, L. Jakóbczyk (eds.), Kluwer Publ. 1995.
L.H. Eliasson; Absolutely convergent series expansions for quasiperiodic motions, report 2–88, Dept. of Mathematics, University of Stokholm, 1988.
G.Gallavotti; Commun. Math, Phys. 164, 145 (1994).
A.J. Dragt, J.M. Finn; J. Math. Phys. 17, 2215 (1976).
M. Govin, H.R. Jauslin, M. Cibils; in preparation.
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© 1995 Springer-Verlag
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Jauslini, H.R., Govin, M., Cibils, M. (1995). Convergence of iterative methods in perturbation theory. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_52
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DOI: https://doi.org/10.1007/3-540-60188-0_52
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