Proof of a conjecture about the exponent of primitive matrices (Q1805225)
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scientific article; zbMATH DE number 753890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of a conjecture about the exponent of primitive matrices |
scientific article; zbMATH DE number 753890 |
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Proof of a conjecture about the exponent of primitive matrices (English)
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11 May 1995
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The author proves the conjecture of \textit{R. E. Hartwig} and \textit{M. Neumann} [ibid. 184, 103-122 (1993; Zbl 0790.15016)] that the index of primitivity of a nonnegative matrix \(A\) is at most \((m- 1)^ 2+ 1\), where \(m\) is the degree of the minimum polynomial of \(A\).
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primitive matrix
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index of primitivity
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nonnegative matrix
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