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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 12, Pages 1835–1838
DOI: https://doi.org/10.7868/S0044466914120047 (Mi zvmmf10118) 		 
Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices

A. K. Abdikalykovab, Kh. D. Ikramovb, V. N. Chugunovc

a Kazakhstan Division of the Moscow State University, ul. Munaitpasova 7, Astana, 010010, Kazakhstan
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
c Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
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DOI: https://doi.org/10.7868/S0044466914120047
Abstract: Certain techniques that can be used for accelerating the calculation of the eigenvalues of normal Toeplitz matrices are described. The run times of the standard Matlab procedure eig with and without the use of these techniques are compared.
Key words: Toeplitz matrix, $\phi$-circulant, $(T+H)$-matrix, calculation of eigenvalues.
Received: 30.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 12, Pages 1761–1764
DOI: https://doi.org/10.1134/S0965542514120045
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: A. K. Abdikalykov, Kh. D. Ikramov, V. N. Chugunov, “Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1835–1838; Comput. Math. Math. Phys., 54:12 (2014), 1761–1764
Citation in format AMSBIB
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