Rank preservers of matrices over max algebra

DOI10.1080/03081080008818665zbMath0971.15006OpenAlexW2010420079WikidataQ57702791 ScholiaQ57702791MaRDI QIDQ2707084

Seok-Zun Song, Ravindra B. Bapat, Sukanta Pati

Publication date: 28 March 2001

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

Full work available at URL: https://doi.org/10.1080/03081080008818665

zbMATH Keywords

linear operatormax algebrarank preserver

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

A cubic time algorithm for finding the principal solution to Sylvester matrix equations over (max, +) ⋮ Regular matrices and their generalized inverses over the max algebra ⋮ Factor rank preservers of matrices over additively-idempotent multiplicatively-cancellative semirings

Cites Work

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• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• A max version of the Perron-Frobenius theorem
• Pattern Properties and Spectral Inequalities in Max Algebra

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