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Simultaneous triangularization over max-algebras
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DOI：10.1142/s0219498827502410.png)
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Abstract
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The purpose of this paper is to investigate triangularization and simultaneous triangularization of matrices over max-algebras using graph theoretic methods. We establish a connection between commutators and commutants with simultaneous triangularization over max-algebras. We also define the notion of characteristic polynomial of a collection in terms of the tropical determinant and determine when it can be written as a product of linear terms. Algorithms for all of the above are also brought out.
Keywords:
Max-algebras
(simultaneous) triangularization
commutators
commutants
unicellular matrices
tropical determinant
Journal
J
IF:
0.6
Papers:
261
Citations:
0
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