A family of doubly stochastic matrices involving Chebyshev polynomials

• Datum: 2019
• Hauptverfasser: Ahmed, Tanbir, Caballero, José Manuel Rodriguez
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: doubly stochastic matrices; Chebyshev polynomials
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/557
• Назва журналу: Algebra and Discrete Mathematics

A doubly stochastic matrix is a square matrix \(A=(a_{ij})\) of non-negative real numbers such that \(\sum_{i}a_{ij}=\sum_{j}a_{ij}=1\). The Chebyshev polynomial of the first kind is defined by the recurrence relation \(T_0(x)=1, T_1(x)=x\), and \[T_{n+1}(x)=2xT_n(x)-T_{n-1}(x).\]In this paper, we s...