Determinants and limit systems in some idempotent and non-associative algebraic structure

DOI10.1016/j.laa.2022.06.018zbMath1495.15039arXiv2010.04094OpenAlexW3092258019WikidataQ114151369 ScholiaQ114151369MaRDI QIDQ2158282

Walter Briec

Publication date: 26 July 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04094

zbMATH Keywords

determinantsemilatticesCramer's rulegeneralized power-meanidempotent algebraic structuremax-times systems of equations

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear transformations, semilinear transformations (15A04) Semilattices (06A12) Max-plus and related algebras (15A80) Idempotent elements (associative rings and algebras) (16U40)

Cites Work

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• Asymptotics of the Perron eigenvalue and eigenvector using max-algebra
• The perron root of a weighted geometric mean of nonneagative matrices
• -convexity
• On Some Idempotent and Non-Associative Convex Structure
• r-convex functions
• Idempotent functional analysis: An algebraic approach

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