Classifying pairs of commuting Toeplitz and Hankel matrices

被引：0
|
作者：
V. N. Chugunov
Kh. D. Ikramov
机构：
[1] Russian Academy of Sciences,Institute of Numerical Mathematics
[2] Moscow State University,Faculty of Computational Mathematics and Cybernetics
来源：
Doklady Mathematics | 2015年 / 92卷
关键词：
Diagonal Entry; DOKLADY Mathematic; Toeplitz Matrix; Toeplitz Matrice; Hankel Matrix;
D O I：
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学科分类号：
摘要：
Conditions under which two Toeplitz matrices are permutable have been known since at least 1995. Recently (in 2011) V.I. Gel’fgat stated conditions for permutability of a pair of Hankel matrices. In this communication, we outline a scheme for solving the much more difficult problem of describing all the pairs (T, H) such that T is a Toeplitz matrix, H is a Hankel matrix, and T commutes with H.
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页码：577 / 580
页数：3
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