Supertropical matrix algebra. III: Powers of matrices and their supertropical eigenvalues
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Publication:661857
DOI10.1016/j.jalgebra.2011.06.002zbMath1283.15055arXiv1008.0023OpenAlexW1991203679MaRDI QIDQ661857
Zur Izhakian, Louis Halle Rowen
Publication date: 11 February 2012
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.0023
Determinants, permanents, traces, other special matrix functions (15A15) Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Max-plus and related algebras (15A80)
Related Items
Supertropical quadratic forms. I. ⋮ Supertropical monoids: basics and canonical factorization ⋮ Layered tropical mathematics ⋮ Subordinate quadratic forms and isometric maps over semirings ⋮ On the vectors associated with the roots of max-plus characteristic polynomials. ⋮ Dependence of supertropical eigenspaces ⋮ Tropical plactic algebra, the cloaktic monoid, and semigroup representations ⋮ Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form ⋮ Basic operations on supertropical quadratic forms ⋮ Characteristic Polynomials of Supertropical Matrices ⋮ On pseudo-inverses of matrices and their characteristic polynomials in supertropical algebra ⋮ FACTORIZATION OF TROPICAL MATRICES ⋮ Semigroup identities of supertropical matrices ⋮ A min-plus analogue of the Jordan canonical form associated with the basis of the generalized eigenspace
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