Spectral cones in Euclidean Jordan algebras

DOI10.1016/j.laa.2016.08.004zbMath1405.17058OpenAlexW2478098030MaRDI QIDQ314772

M. Seetharama Gowda, Juyoung Jeong

Publication date: 16 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.004

zbMATH Keywords

automorphismdimensionEuclidean Jordan algebradual conespectral cone

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Simple, semisimple Jordan algebras (17C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Stochastic matrices (15B51) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items

Commutation principles for optimization problems on spectral sets in Euclidean Jordan algebras, Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations, Commutativity, majorization, and reduction in Fan-Theobald-von Neumann systems, Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras, Permutation invariant proper polyhedral cones and their Lyapunov rank, On the connectedness of spectral sets and irreducibility of spectral cones in Euclidean Jordan algebras

Cites Work

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• Inradius and circumradius of various convex cones arising in applications
• Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras
• Angular analysis of two classes of non-polyhedral convex cones: the point of view of optimization theory
• Commutation Principle for Variational Problems on Euclidean Jordan Algebras
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras