Commutation Principles in Euclidean Jordan Algebras and Normal Decomposition Systems

DOI10.1137/16M1071006zbMath1425.17045arXiv1604.04561MaRDI QIDQ4976157

Juyoung Jeong, M. Seetharama Gowda

Publication date: 27 July 2017

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04561

zbMATH Keywords

automorphismsspectral functionsvariational inequality problemEuclidean Jordan algebracone complementarity problemnormal decomposition systemcommutation principle(weakly) spectral sets

Mathematics Subject Classification ID

Convex programming (90C25) Set-valued and variational analysis (49J53) Convex functions and convex programs in convex geometry (52A41) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items

Commutation principles for optimization problems on spectral sets in Euclidean Jordan algebras, Condition Number Minimization in Euclidean Jordan Algebras, An analog of Drury's result in normal decomposition systems, Extended commutation principles for normal decomposition systems, Commutativity, majorization, and reduction in Fan-Theobald-von Neumann systems, A Fiedler-type determinantal inequality in Euclidean Jordan algebras, Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras, Unnamed Item, On the connectedness of spectral sets and irreducibility of spectral cones in Euclidean Jordan algebras, Refining eigenvalue inequalities for block 2 × 2 positive semidefinite matrices

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