An LMI description for the cone of Lorentz-positive maps II

DOI10.1080/03081087.2010.486243zbMath1377.15021OpenAlexW4206984501MaRDI QIDQ3090720

Roland Hildebrand

Publication date: 1 September 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.486243

zbMATH Keywords

second-order conesemidefinite cone

Mathematics Subject Classification ID

Semidefinite programming (90C22) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

SDP reformulation for robust optimization problems based on nonconvex QP duality ⋮ On Minimal Valid Inequalities for Mixed Integer Conic Programs ⋮ On Second-Order Cone Positive Systems

Cites Work

• Exactness of sums of squares relaxations involving \(3\times 3\) matrices and Lorentz cones
• On the structure of the cone of positive operators
• Positive operators on the \(n\)-dimensional ice cream cone
• Symmetry groups, semidefinite programs, and sums of squares
• Some results of polyhedral cones and simplicial cones
• An LMI description for the cone of Lorentz-positive maps

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