The structure of max-plus hyperplanes

Linear Algebra and Its Applications

Volumn 426, Issue 2-3, 2007, Pages 382-414

  Nitica, V ^a   Singer, I ^a  

^a INSTITUTE OF MATHEMATICS   (Romania)

Author keywords

Max plus convex set; Max plus hyperplane; Max plus segment; Max plus semispace

Indexed keywords

COMPUTATIONAL METHODS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

FINITE POINTS; MAX-PLUS CONVEX SETS; MAX-PLUS HYPERPLANES; MAX-PLUS SEGMENTS; MAX-PLUS SEMISPACES;

LINEAR ALGEBRA;

EID: 34547914159     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.05.016     Document Type: Article

References (7)

1. Zimmermann K. A general separation theorem in extremal algebras. Ekon. Mat. Obzor 13 2 (1977) 179-201
2. Niţicǎ V., and Singer I. Max-plus convex sets and max-plus semispaces. I. Optimization 56 (2007) 171-205
3. Niţicǎ V., and Singer I. Max-plus convex sets and max-plus semispaces. II. Optimization 56 (2007) 293-303
4. Cohen G., Gaubert S., and Quadrat J.-P. Duality and separation theorems in idempotent semimodules. Linear Algebra Appl. 379 (2004) 395-422
5. Helbig S. Parametrische semi-infinite Optimierung in totalgeordneten Gruppen (1987), R.G. Fischer Verlag, Frankfurt (Main)
6. Cohen G., Gaubert S., Quadrat J.-P., and Singer I. Max-plus convex sets and functions. In: Litvinov G.L., and Maslov V.P. (Eds). Idempotent Mathematics and Mathematical Physics. Contemporary Math. 377 (2005) 105-129
7. Richter-Gebert J., Sturmfels B., and Theobald Th. First steps in tropical geometry. In: Litvinov G.L., and Maslov V.P. (Eds). Idempotent Mathematics and Mathematical Physics. Contemporary Math. 377 (2005) 289-317