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：
暂无
中图分类号：
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.
引用
收藏
页码：577 / 580
页数：3
相关论文
共 14 条
[1]  
Gel’fgat V. I.(1998)undefined Comput. Math. Math. Phys. 38 7-10
[2]  
Ikramov Kh. D.(1995)undefined Math. Notes 57 463-469
[3]  
Ikramov Kh. D.(1996)undefined Comput. Math. Math. Phys. 36 131-137
[4]  
Chugunov V. N.(2008)undefined J. Math. Sci. 150 1951-1960
[5]  
Ikramov Kh. D.(2009)undefined Math. Notes 85 674-681
[6]  
Chugunov V. N.(2009)undefined Comput. Math. Math. Phys. 49 893-900
[7]  
Ikramov Kh. D.(2009)undefined Linear Algebra Appl. 430 2094-2101
[8]  
Chugunov V. N.(2010)undefined Linear Algebra Appl. 432 3210-3230
[9]  
Chugunov V. N.(2011)undefined Comput. Math. Math. Phys. 51 1102-1113
[10]  
Chugunov V. N.(undefined)undefined undefined undefined undefined-undefined
12