The Structure of Solutions of the Matrix Equation Jn(0)Y + Y⏉Jn(0) = 0 for Even n

It is shown that every solution of the matrix equation in the title of the paper, where n = 2m, can be transformed by a symmetric permutation of its rows and columns to a direct sum of two triangular Toeplitz matrices of order m.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-06, Vol.255 (3), p.277-278
Main Author: Ikramov, Kh. D.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Permutations
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Description
Summary:It is shown that every solution of the matrix equation in the title of the paper, where n = 2m, can be transformed by a symmetric permutation of its rows and columns to a direct sum of two triangular Toeplitz matrices of order m.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05370-x