Linear Transformations Preserving the Minimal Values of the Cyclicity Index of Tropical Matrices

DOI10.1007/S10958-024-07096-YMaRDI QIDQ6493780

E. M. Kreines, Alexander E. Guterman, Unnamed Author

Publication date: 29 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear transformations, semilinear transformations (15A04) Max-plus and related algebras (15A80) Linear preserver problems (15A86)

Cites Work

• Linear transformations of tropical matrices preserving the cyclicity index
• Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes
• Linear preserver problems: A brief introduction and some special techniques
• Linear matrix period in max-plus algebra
• New bounds on the periodicity transient of the powers of a tropical matrix: using cyclicity and factor rank

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