A generalized eigenvalue problem in the max algebra

DOI10.1016/j.laa.2006.09.023zbMath1121.15011OpenAlexW2127017400MaRDI QIDQ874987

Hans W. Volkmer, Paul A. Binding

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.023

zbMATH Keywords

nonnegative matricesmaximum cycle geometric meanMax algebra, generalized eigenvalue problem, Brouwer degree

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

The level set method for the two-sided max-plus eigenproblem, Basic \(r\)-symmetric tropical polynomials, An algebraic expression of the number partitioning problem, On the problem Ax=\lambda Bx in max algebra: every system of intervals is a spectrum, On Special Cases of the Generalized Max-Plus Eigenproblem

Cites Work

• Minimax algebra
• A max version of the Perron-Frobenius theorem
• Max algebra and the linear assignment problem
• Perron-frobenius theory for a generalized eigenproblem
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