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Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 81–94
DOI: https://doi.org/10.4213/mzm6315 (Mi mzm6315) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Padé–Faber Approximation of Markov Functions on Real-Symmetric Compact Sets

L. A. Knizhnerman

Central Geophysical Expedition
Full-text PDF (670 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm6315
Abstract: Study of Padé–Faber approximation (generalizations of the Padé approximation and the Padé–Chebyshev approximation) of Markov functions are important not only from the point of view of mathematical analysis, but also of computational mathematics. The theorem on the existence of subdiagonal approximants is constructively proved. Various estimates of the approximation error are given. Theoretical assertions are illustrated by simulation results.
Keywords: Padé–Faber approximation, Markov function, Padé–Chebyshev approximation, subdiagonal approximant, Lanczos process, Faber operator, extended complex plane.
Received: 04.08.2008
Revised: 22.12.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 81–92
DOI: https://doi.org/10.1134/S0001434609070086
Bibliographic databases:
UDC: 517.538.52+517.538.53+519.651
Language: Russian
Citation: L. A. Knizhnerman, “Padé–Faber Approximation of Markov Functions on Real-Symmetric Compact Sets”, Mat. Zametki, 86:1 (2009), 81–94; Math. Notes, 86:1 (2009), 81–92
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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