Directed graphs, 2D state models, and characteristic polynomials of irreducible matrix pairs (Q1368773)
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scientific article; zbMATH DE number 1067955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Directed graphs, 2D state models, and characteristic polynomials of irreducible matrix pairs |
scientific article; zbMATH DE number 1067955 |
Statements
Directed graphs, 2D state models, and characteristic polynomials of irreducible matrix pairs (English)
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1 June 1998
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A notion of a 2D digraph and a 2D strongly connected digraph are introduced. Equivalent descriptions of the irreducibility of matrices are obtained. Dynamical characterizations of irreducible matrix pairs and their characteristic polynomials are presented. Primitivity is introduced as a special case of irreducibility of matrix pairs.
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2D digraph
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characteristic polynomials
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primitivity
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irreducibility of matrix pairs
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