An overview of Max-plus Linear systems
Let α + b=max(α, b) α×b=α + b, a,b ∈ Rε :=RU {-∞}. In max-plus algebra we work on the linear algebra structure for the pair of operations extended to (+, ×)matrices and vectors over Rε. In this paper our main aim is to reproduce the work of R. A. Cuninghame-Green [3] on the linear systems over a max...
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| Veröffentlicht in: | Honam mathematical journal 2011-03, Vol.33 (1), p.93-113 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | kor |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let α + b=max(α, b) α×b=α + b, a,b ∈ Rε :=RU {-∞}. In max-plus algebra we work on the linear algebra structure for the pair of operations extended to (+, ×)matrices and vectors over Rε. In this paper our main aim is to reproduce the work of R. A. Cuninghame-Green [3] on the linear systems over a max-plus semi-field Rε. |
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| ISSN: | 1225-293X |