Tridiagonal doubly stochastic matrices
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The author studies the facial structure of the tridiagonal Birkhoff polytope \(\Omega^t_n\subset \mathbb R^{n\times n}\) consisting of the tridiagonal doubly stochastic matrices of order \(n\) and its connection with majorization. Some subclasses of \(\Omega^t_n\) are discussed with focus on spectral properties and rank formulae.
- University of Oslo Norway
tridiagonal Birkhoff polytope, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, Birkhoff polytope, Eigenvalue, permutation matrices, Random walk, Determinants, permanents, traces, other special matrix functions, Fibonacci numbers, symmetric random walk, rank, doubly stochastic matrix, majorization, Doubly stochastic matrix, eigenvalue, Discrete Mathematics and Combinatorics, Majorization, Geometry and Topology, Stochastic matrices
tridiagonal Birkhoff polytope, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, Birkhoff polytope, Eigenvalue, permutation matrices, Random walk, Determinants, permanents, traces, other special matrix functions, Fibonacci numbers, symmetric random walk, rank, doubly stochastic matrix, majorization, Doubly stochastic matrix, eigenvalue, Discrete Mathematics and Combinatorics, Majorization, Geometry and Topology, Stochastic matrices
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