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Tridiagonal doubly stochastic matrices. (English) Zbl 1060.15022

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.

MSC:

15B51 Stochastic matrices
15A15 Determinants, permanents, traces, other special matrix functions
15A18 Eigenvalues, singular values, and eigenvectors
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References:

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