Full ordering in the Shorrocks mobility sense of the semiring of monotone doubly stochastic matrices

Branka Janković, E. Pap

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we investigate the ordering on a semiring of monotone doubly stochastic transition matrices in Shorrocks' sense. We identify a class of an equilibrium index of mobility that induces the full ordering in a semiring, while this ordering is compatible with Dardanoni's partial ordering on a set of monotone primitive irreducible doubly stochastic matrices.

Original languageEnglish
Pages (from-to)1585-1597
Number of pages13
JournalLinear Algebra and Its Applications
Volume435
Issue number7
DOIs
Publication statusPublished - Oct 1 2011

Fingerprint

Doubly Stochastic Matrix
Semiring
Monotone
Stochastic Matrix
Partial ordering
Transition Matrix
Class

Keywords

  • Markov chain
  • Mobility measure
  • Monotone primitive irreducible doubly stochastic matrix
  • Ordering
  • Semiring
  • Social sciences
  • Transition matrix

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Numerical Analysis

Cite this

Full ordering in the Shorrocks mobility sense of the semiring of monotone doubly stochastic matrices. / Janković, Branka; Pap, E.

In: Linear Algebra and Its Applications, Vol. 435, No. 7, 01.10.2011, p. 1585-1597.

Research output: Contribution to journalArticle

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