A family of doubly stochastic matrices involving Chebyshev polynomials

dc.contributor.author	Ahmed, T.
dc.contributor.author	Caballero, J.M.R.
dc.date.accessioned	2023-03-01T15:26:38Z
dc.date.available	2023-03-01T15:26:38Z
dc.date.issued	2019
dc.identifier.citation	A family of doubly stochastic matrices involving Chebyshev polynomials / T. Ahmed, J.M.R. Caballero // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 155–164. — Бібліогр.: 2 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: Primary 05D10.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188430
dc.description.abstract	A doubly stochastic matrix is a square matrix A = (aij) of non-negative real numbers such that ∑i aij =∑j aij =1. The Chebyshev polynomial of the first kind is defined by the recurrence relation T₀ (x) = 1, T₁ (x) = x, and Tn+1(x) = 2xTn(x) − Tn−1(x). In this paper, we show a 2ᵏ ×2ᵏ (for each integer k > 1) doubly stochastic matrix whose characteristic polynomial is x² − 1 times a product of irreducible Chebyshev polynomials of the first kind (upto rescaling by rational numbers).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	A family of doubly stochastic matrices involving Chebyshev polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA