Lexicographical order, lexicographical index, and linear operators

DOI10.1016/0024-3795(90)90283-IzbMath0711.52002MaRDI QIDQ923372

Ivan Singer, Juan-Enrique Martinez-Legaz

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

linear operatorseparation of convex setslexicographical orderlexicographical index

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Total orders (06A05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

The structure of hemispaces in \({\mathbb{R}}^ n\), Compatible lattice orders and linear operators on \(\mathbf R^n\), Quasiconvex duality theory by generalized conjugation methods, Characterizations of efficient solutions under polyhedrality assumptions, Classification of semispaces according to their types in infinite-dimensional vector spaces, Compatible preorders and linear operators on \({\mathbb{R}}^ n\)

Cites Work

• Lexicographical order and duality in multiobjective programming
• The structure of hemispaces in \({\mathbb{R}}^ n\)
• Lexicographical separation in \({\mathbb{R}}^ n\)
• The structure of semispaces
• Exact quasiconvex conjugation
• Surrogate duality for vector optimization
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