The spectrum of two interesting stochastic matrices

The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.

Bibliographic Details
Main Author: Anghel N.
Format: Article
Language:English
Published: De Gruyter 2020-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2020-0003
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spelling doaj-fb57c2deb83a4e1099fdfea545e304bc2021-10-02T18:54:20ZengDe GruyterSpecial Matrices2300-74512020-01-0181172110.1515/spma-2020-0003spma-2020-0003The spectrum of two interesting stochastic matricesAnghel N.0Department of Mathematics, University of North Texas, Denton, TX 76203The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.https://doi.org/10.1515/spma-2020-0003stochastic matrixspectrumleader-follower modelbipartite graphprimary: 15b51 secondary: 11c20
collection DOAJ
language English
format Article
sources DOAJ
author Anghel N.
spellingShingle Anghel N.
The spectrum of two interesting stochastic matrices
Special Matrices
stochastic matrix
spectrum
leader-follower model
bipartite graph
primary: 15b51 secondary: 11c20
author_facet Anghel N.
author_sort Anghel N.
title The spectrum of two interesting stochastic matrices
title_short The spectrum of two interesting stochastic matrices
title_full The spectrum of two interesting stochastic matrices
title_fullStr The spectrum of two interesting stochastic matrices
title_full_unstemmed The spectrum of two interesting stochastic matrices
title_sort spectrum of two interesting stochastic matrices
publisher De Gruyter
series Special Matrices
issn 2300-7451
publishDate 2020-01-01
description The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.
topic stochastic matrix
spectrum
leader-follower model
bipartite graph
primary: 15b51 secondary: 11c20
url https://doi.org/10.1515/spma-2020-0003
work_keys_str_mv AT angheln thespectrumoftwointerestingstochasticmatrices
AT angheln spectrumoftwointerestingstochasticmatrices
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