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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 4, Pages 403–407
(Mi sjvm135)
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This article is cited in 1 scientific paper (total in 1 paper)
An eigenvalue problem for a symmetric Toeplitz matrix
Yu. I. Kuznetsov Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
An algorithm is developed which determines eigenvalues for a symmetric Toeplitz matrix. To this end, we substantiate the generality of eigenvalues problems for a symmetric Toeplitz matrix and for a persymmetric Hankel one. The latter is reduced to an eigenvalue problem for a persymmetric Jacobi matrix. In the even order case, the problem reduces to a Jacobi matrix with halved order.
Key words:
symmetric Toeplitz matrix, Hankel structure, Jacobi matrix, persymmetric, tranzitivibilty, Sturm theorem, algorithm, polynomials, roots, eigenvalue problem.
Received: 11.11.2008
Citation:
Yu. I. Kuznetsov, “An eigenvalue problem for a symmetric Toeplitz matrix”, Sib. Zh. Vychisl. Mat., 12:4 (2009), 403–407; Num. Anal. Appl., 2:4 (2009), 326–329
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https://www.mathnet.ru/eng/sjvm135 https://www.mathnet.ru/eng/sjvm/v12/i4/p403
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Abstract page: | 850 | Full-text PDF : | 265 | References: | 40 | First page: | 37 |
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