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

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.

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Publication Details

Journal
Kybernetika
Published
2025-04-06
DOI
https://doi.org/10.14736/kyb-2025-1-0133
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Karel Zimmermann
Kybernetika
Polynomial and algebraic computation
article

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

Karel Zimmermann
article en

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.

Kybernetika
Climate action
Openalex Percentile: Top 92%
Polynomial and algebraic computation
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Solvability of (max,+) and (min,+)-equation systems — Karel Zimmermann · Kybernetika (2025) | TGRS Research Map | TGRS