Disproving a conjecture of Thornton on Bohemian matrices (Q2053631)
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scientific article; zbMATH DE number 7435662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Disproving a conjecture of Thornton on Bohemian matrices |
scientific article; zbMATH DE number 7435662 |
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Disproving a conjecture of Thornton on Bohemian matrices (English)
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29 November 2021
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The authors provide a counterexample for a conjecture about Hessenberg matrices. They establish several results which lead to the counterexample, thus concluding that the conjecture is false. For this counterexample, they use a matrix of order 10, but they claim that the conjecture is false for a matrix of order 11 as well. Some open problems are described in the last section. This paper is easy to read and it is an interesting source for future researchers.
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Bohemian matrix
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integral matrix
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normalized upper Hessenberg matrix
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determinant
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