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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2107–2112 (Mi zvmmf65)  
This article is cited in 9 scientific papers (total in 9 papers)

Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems

B. M. Podlevskii

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Naukova 3-b, Lvov, 79000, Ukraine
Full-text PDF (638 kB) Citations (9)
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Abstract: An iterative algorithm is examined for finding the eigenvalues of the two-parameter (multiparameter) algebraic eigenvalue problem. This algorithm uses Newton's method and an efficient numerical procedure for differentiating determinants. Some numerical examples are given.
Key words: two-parameter (multiparameter) eigenvalue problems, Newton's method, determinant differentiation.
Received: 15.11.2007
Revised: 20.05.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2140–2145
DOI: https://doi.org/10.1134/S0965542508120038
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: B. M. Podlevskii, “Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2107–2112; Comput. Math. Math. Phys., 48:12 (2008), 2140–2145
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:53
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