FACTORIZATION OF TROPICAL MATRICES

DOI10.1142/S0219498813500667zbMath1286.15037arXiv1202.3615OpenAlexW2018442282MaRDI QIDQ5746954

Adi Niv

Publication date: 11 February 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3615

zbMATH Keywords

valuationmatrix factorizationtropicalizationtropical semifieldtropical and supertropical linear algebratropical elementary matricestropically invertible matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Valuations and their generalizations for commutative rings (13A18) Max-plus and related algebras (15A80)

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A Tropical Power Sum ⋮ Supertropical SL_n ⋮ Tropical compound matrix identities ⋮ On pseudo-inverses of matrices and their characteristic polynomials in supertropical algebra ⋮ Tropical totally positive matrices ⋮ Algebras with a negation map

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