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

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 over minplus semi-field.