Мақаланы E-mail арқылы жіберу ON THE ASYMPTOTICS OF EIGENVALUES OF SEMIDIAGONAL TOEPLITZ MATRICES
- Авторлар: Voronin I.V.1
-
Мекемелер:
- Moscow Institute of Physics and Technology (National Research University)
- Шығарылым: Том 64, № 6 (2024)
- Беттер: 914-921
- Бөлім: General numerical methods
- URL: https://journals.rcsi.science/0044-4669/article/view/273759
- DOI: https://doi.org/10.31857/S0044466924060029
- EDN: https://elibrary.ru/XZPJFN
- ID: 273759
Дәйексөз келтіру
Толық мәтін
Аннотация
Asymptotic formulas are constructed that allow a uniform estimate of the remainder term for Toeplitz matrices of size 𝑛 for 𝑛 → ∞ in the case when their symbol 𝑎(𝑡) has the form 𝑎(𝑡) = (𝑡 − 2𝑎0 + 𝑡-1)3. This result is a generalization of the result of Stukopin et al. (2021), in which similar asymptotic formulas were obtained for a diagonal Toeplitz matrix with a symbol of a similar form when 𝑎0 = 1. The obtained formulas have high computational efficiency and generalize the results of the classical works of Parterre and Widom on the asymptotics of extreme eigenvalues.
Негізгі сөздер
Авторлар туралы
I. Voronin
Moscow Institute of Physics and Technology (National Research University)
Email: Voronin.I@phystech.edu
Dolgoprudnyi, Moscow oblast, 141700 Russia
Әдебиет тізімі
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