Kybernetika 61 no. 1, 133-140, 2025

Solvability of (max,+) and (min,+)-equation systems

Karel ZimmermannDOI: 10.14736/kyb-2025-1-0133

Abstract:

Properties of (max,+)-linear and (min,+)-linear equation systems are used to study solvability of the systems. Solvability conditions of the systems are investigated. Both one-sided and two-sided systems are studied. Solvability of one class of (max,+)-nonlinear problems will be investigated. Small numerical examples illustrate the theoretical results.

Keywords:

max-algebraic and min-algebraic linear equation systems, solvability conditions, two-sided max-/min- algebraic linear equation systems

Classification:

90C31, 15A99

paper.pdf

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