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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 109–114
DOI: https://doi.org/10.4213/mzm11 (Mi mzm11) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Convergence of the Newton–Kantorovich Method for Calculating Invariant Subspaces

Yu. M. Nechepurenkoa, M. Sadkaneb

a Institute of Numerical Mathematics, Russian Academy of Sciences
b Université de Bretagne Occidentale
Full-text PDF (168 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11
Abstract: We propose a version of the Newton–Kantorovich method which, given a nondegenerate square $n\times n$ matrix and a number $m$, allows us to calculate the invariant subspace corresponding to its smallest (in modulus) eigenvalues. We obtain estimates of the rate of convergence via an integral criterion for circular dichotomy.
Received: 24.10.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 101–106
DOI: https://doi.org/10.1023/B:MATN.0000015025.05741.1b
Bibliographic databases:
UDC: 512.64
Language: Russian
Citation: Yu. M. Nechepurenko, M. Sadkane, “Convergence of the Newton–Kantorovich Method for Calculating Invariant Subspaces”, Mat. Zametki, 75:1 (2004), 109–114; Math. Notes, 75:1 (2004), 101–106
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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    		Математические заметки Mathematical Notes
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