On faces generated by certain positive linear transformations

DOI10.1016/0024-3795(89)90575-2zbMath0679.15016OpenAlexW1996701468MaRDI QIDQ1124651

Raphael Loewy

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90575-2

zbMATH Keywords

extreme rayscone of real matricesexposed raysindecomposable cone

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Convex sets and cones of operators (47L07)

Related Items (3)

Cross-positive matrices revisited ⋮ On the structure of the cone of positive operators ⋮ Extremals and exposed faces of the cone of positive maps

Cites Work

• Dimension of faces generated by certain positive linear operators
• Theory of cones
• Positive operators on the \(n\)-dimensional ice cream cone
• Indecomposable cones
• Extreme operators on polyhedral cones
• The lattice of faces of a finite dimensional cone
• State Constraints in Convex Control Problems of Bolza
• Cross-Positive Matrices

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