Tridiagonal doubly stochastic matrices

  • Dahl G
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Abstract

We study the facial structure of the polytope Ωtn in Rn×n consisting of the tridiagonal doubly stochastic matrices of order n. We also discuss some subclasses of Ω tn with focus on spectral properties and rank formulas. Finally we discuss a connection to majorization. © 2004 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Birkhoff polytope
  • Doubly stochastic matrix
  • Eigenvalue
  • Majorization
  • Random walk

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