On the Jordan form of an irreducible matrix with eventually non-negative powers (Q1970445)
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scientific article; zbMATH DE number 1419872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Jordan form of an irreducible matrix with eventually non-negative powers |
scientific article; zbMATH DE number 1419872 |
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On the Jordan form of an irreducible matrix with eventually non-negative powers (English)
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21 March 2000
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In terms of the concept of a Frobenius collection of elementary Jordan blocks which is introduced, the paper characterizes the collection of elementary Jordan blocks that appear in the Jordan form of an irreducible \(m\)-cyclic eventually non-negative matrix whose \(m\)th power is permutationally similar to a direct sum of \(m\) eventually positive matrices.
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irreducible eventually non-negative matrix
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eventually real matrix
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\(M\)-cyclic matrix
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cyclic index
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self-conjugate Frobenius collection of elementary Jordan blocks
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Jordan form
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