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Home  >  Transactions of NAMP VOL 14

8. ON THE SPECIAL CASES OF THE GENERALIZED MAX-PLUS EIGENVALUE PROBLEM by Abdulhadi Aminu and Ishaq Inuwa Mamunu Volume 14, (January - March, 2021 Issue)
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ON THE SPECIAL CASES OF THE GENERALIZED MAX-PLUS EIGENVALUE PROBLEM

Abdulhadi Aminu and Ishaq Inuwa Mamunu

Department of Mathematics Kano University of Science and Technology, Wudil.

Abstract

We study the generalized eigenvalue problem in max algebra A⊗x=λ⊗B⊗x, where A,B∈R ̅^(m×n). We prove that if A and B are binary, then λ is finitely generated in a closed set. We give the general solution for the 2×2 case for binary entries.

Keywords: Matrix, Max-plus Algebra, Generalized Eigenvalue, Spectrum

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