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Solving the eigenproblems of triangular and diagonal strictly double ℝ-astic matrices over min-plus algebra

Journal of Discrete Mathematical Sciences & Cryptography
The algebraic structure defined by the triple (ℝε’, ⊕’, ⊗), commonly referred to as minplusalgebraic semi-field. The eigenvalue and eigenvector problem is one of the key issue in min-plus algebra. With a literature review as the research method, this paper investigates and derives explicit formulas for solving the eigenproblem of two special matrices ...
openaire   +1 more source

Control laws synthesis for timed event graphs subject to generalised marking constraints by Min-Plus algebra: application to cluster tools

International Journal of Control, 2023
Jihene Rajah   +4 more
openaire   +1 more source

The eigenvalues of reducible matrices over min-plus algebra

AIP Conference Proceedings
Riko Fajarudin   +2 more
openaire   +1 more source

Generic Asymptotics of Eigenvalues Using Min-Plus Algebra

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2001
Stéphane Gaubert
exaly  

Applications of max-plus algebra to flow shop scheduling problems

Discrete Applied Mathematics, 2018
Susumu Kubo, Katsuhiro Nishinari
exaly  

Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra

Journal of Difference Equations and Applications
Sennosuke Watanabe, Akiko Fukuda
exaly  

Triangulation of diagonally dominant min-plus matrices

Discrete Event Dynamic Systems: Theory and Applications
Yuki Nishida, Yoshihide Watanabe
exaly  

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