On the problem Ax=\lambda Bx in max algebra: every system of intervals is a spectrum

zbMath1248.15023arXiv1001.4051MaRDI QIDQ2882851

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Publication date: 8 May 2012

Full work available at URL: https://arxiv.org/abs/1001.4051

zbMATH Keywords

algorithmeigenvectormax algebrageneralized eigenproblemtropical algebra

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22) Max-plus and related algebras (15A80)

Related Items (2)

The level set method for the two-sided max-plus eigenproblem ⋮ On Special Cases of the Generalized Max-Plus Eigenproblem

Cites Work

• A generalized eigenvalue problem in the max algebra
• Minimax algebra
• The equation \(A \otimes x = B \otimes y\) over \((\max,+)\)
• Max-algebra: The linear algebra of combinatorics?
• The level set method for the two-sided max-plus eigenproblem
• Generalisation of the Perron-Frobenius theory to matrix pencils
• Max-linear Systems: Theory and Algorithms
• Z-Pencils
• Modifying the power method in max algebra
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