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DC Field | Value | Language |
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dc.contributor.author | Ahmed, T. | - |
dc.contributor.author | Caballero, J.M.R. | - |
dc.date.accessioned | 2019-12-04T08:04:33Z | - |
dc.date.available | 2019-12-04T08:04:33Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4389 | - |
dc.description | Ahmed T. A family of doubly stochastic matrices involving Chebyshev polynomials / J.M.R.Caballero // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp.155-164 | uk_UA |
dc.description.abstract | A doubly stochastic matrix is a square matrix A = (aij ) of non-negative real numbers such that P i aij = P j aij = 1. The Chebyshev polynomial of the first kind is defined by the recur- rence relation T0(x) = 1, T1(x) = x, and Tn+1(x) = 2xTn(x) − Tn−1(x). In this paper, we show a 2 k × 2 k (for each integer k > 1) doubly stochastic matrix whose characteristic polynomial is x 2 − 1 times a product of irreducible Chebyshev polynomials of the first kind (upto rescaling by rational numbers). | uk_UA |
dc.language.iso | en_US | uk_UA |
dc.subject | doubly stochastic matrices | uk_UA |
dc.subject | Chebyshev polynomials. | uk_UA |
dc.title | A family of doubly stochastic matrices involving chebyshev polynomials | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (27). - 2019 |
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557-4189-1-PB.pdf | 584.36 kB | Adobe PDF | View/Open |
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