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Certain localization regions for the eigenvalues of a normal matrix
Kh. D. Ikramov Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics, Moscow, 119992 Russia
Abstract:
A number of localization regions that can be found by rational algorithms are indicated for the eigenvalues of a normal matrix. Rational algorithms are finite procedures using arithmetic operations only.
Key words:
normal matrix, Toeplitz decomposition, linear fractional function, rational algorithm, inertia indices of a Hermitian matrix, localization regions for the eigenvalues.
Received: 21.11.2018 Revised: 15.03.2019 Accepted: 10.04.2019
Citation:
Kh. D. Ikramov, “Certain localization regions for the eigenvalues of a normal matrix”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1296–1298; Comput. Math. Math. Phys., 59:8 (2019), 1233–1235
Linking options:
https://www.mathnet.ru/eng/zvmmf10932 https://www.mathnet.ru/eng/zvmmf/v59/i8/p1296
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Abstract page: | 160 | References: | 19 |
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