Permutation-Like Matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929264639606784 |
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| author | Lippold, Steven Robert |
| author_facet | Lippold, Steven Robert |
| contents | Permutation Matrices are a well known class of matrices which encode the elements of the symmetric group on $d$ elements as a square $d\times d$ matrix. Motivated by [4], we define a similar class of matrices which are a generalization of Permutation Matrices. We give explicit formulas for the multiplication of these matrices. Lastly, we discuss the spectral radius, eigenvalues, and periodicity before giving a form of Birkhoff-Von Neumann's Theorem for Left Stochastic Matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Permutation-Like Matrices Lippold, Steven Robert Rings and Algebras Primary 15B51, Secondary 15A18, 52B11 Permutation Matrices are a well known class of matrices which encode the elements of the symmetric group on $d$ elements as a square $d\times d$ matrix. Motivated by [4], we define a similar class of matrices which are a generalization of Permutation Matrices. We give explicit formulas for the multiplication of these matrices. Lastly, we discuss the spectral radius, eigenvalues, and periodicity before giving a form of Birkhoff-Von Neumann's Theorem for Left Stochastic Matrices. |
| title | Permutation-Like Matrices |
| topic | Rings and Algebras Primary 15B51, Secondary 15A18, 52B11 |
| url | https://arxiv.org/abs/2403.02478 |