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.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-01-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/spma-2020-0003 |
| _version_ | 1819114159211544576 |
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| author | Anghel N. |
| author_facet | Anghel N. |
| author_sort | Anghel N. |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T04:40:52Z |
| format | Article |
| id | doaj.art-fb57c2deb83a4e1099fdfea545e304bc |
| institution | Directory Open Access Journal |
| issn | 2300-7451 |
| language | English |
| last_indexed | 2024-12-22T04:40:52Z |
| publishDate | 2020-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Special Matrices |
| spelling | doaj.art-fb57c2deb83a4e1099fdfea545e304bc2022-12-21T18:38:46ZengDe 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 |
| spellingShingle | Anghel N. The spectrum of two interesting stochastic matrices Special Matrices stochastic matrix spectrum leader-follower model bipartite graph primary: 15b51 secondary: 11c20 |
| title | 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_short | The spectrum of two interesting stochastic matrices |
| title_sort | spectrum of two interesting stochastic matrices |
| 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 |