Power algorithms for \((\max, +)\)- and bipartite \((\min,\max,+)\)-systems (Q1592446)
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scientific article; zbMATH DE number 1553148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Power algorithms for \((\max, +)\)- and bipartite \((\min,\max,+)\)-systems |
scientific article; zbMATH DE number 1553148 |
Statements
Power algorithms for \((\max, +)\)- and bipartite \((\min,\max,+)\)-systems (English)
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5 November 2001
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The main result of the present paper is the presentation of alternative algorithms to compute the eigenvalue and associated eigenvectors of a \((\max,+)\)-system, or a bipartite \((\min,\max,+)\)-system that satisfies certain natural assumptions. The algorithms are illustrated by means of a simple example. The authors use an iterative approach to compute the eigenvalues and eigenvectors of discrete event systems. Their algorithms are compared with known power algorithms.
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non-expansive mappings
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monotonicity
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eigenvalue
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eigenvectors
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\((\max,+)\)-system
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iterative approach
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discrete event systems
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