Extremality criteria for the supereigenvector space in max-plus algebra
From MaRDI portal
Publication:2676737
DOI10.1016/j.laa.2022.08.005OpenAlexW3201160450WikidataQ114151240 ScholiaQ114151240MaRDI QIDQ2676737
Publication date: 28 September 2022
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.10605
Linear inequalities of matrices (15A39) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Max-plus and related algebras (15A80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On tropical supereigenvectors
- The generators of the solution space for a system of inequalities
- Hard problems in max-algebra, control theory, hypergraphs and other areas
- Moduloïds and pseudomodules. I: Dimension theory
- A polynomial algorithm for solving system of inequalities in max-plus algebra
- Cyclic and diagonal products on a matrix
- Computing the vertices of tropical polyhedra using directed hypergraphs
- An improved algorithm for finding the generators of the solution space for \(A\otimes \mathbf{x}\ge \mathbf{x} \)
- Extremals of the supereigenvector cone in max algebra: a combinatorial description
- Graphs, dioids and semirings. New models and algorithms.
- Extremal properties of tropical eigenvalues and solutions to tropical optimization problems
- Max-linear Systems: Theory and Algorithms
- Recognizing Weakly Stable Matrices
- Applications of max algebra to diagonal scaling of matrices
- Depth-First Search and Linear Graph Algorithms