Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem
In this note, we simplify the statements of theorems attributed to Cauchy and Ostrovsky and give proofs of each theorem via combinatorial and nonnegative matrix theory. We also show that each simple sufficient condition in each statement is also necessary in its respective case. In addition, we intr...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-01-01
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| Series: | Special Matrices |
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| Online Access: | https://doi.org/10.1515/spma-2017-0007 |