A REPRESENTATION THEOREM FOR LYAPUNOV-LIKE TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS

DOI10.1142/S0219198913400343zbMath1284.90088MaRDI QIDQ5396053

M. Seetharama Gowda, Jiyuan Tao

Publication date: 5 February 2014

Published in: International Game Theory Review (Search for Journal in Brave)

zbMATH Keywords

symmetric coneEuclidean Jordan algebra\({\mathbf Z}\) and Lyapunov-like transformations

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Positive matrices and their generalizations; cones of matrices (15B48) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (4)

On the bilinearity rank of a proper cone and Lyapunov-like transformations ⋮ On the game-theoretic value of a linear transformation relative to a self-dual cone ⋮ The Lyapunov rank of extended second order cones ⋮ Exotic one-parameter semigroups of endomorphisms of a symmetric cone

Cites Work

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• The automorphism group of a completely positive cone and its Lie algebra
• Positive groups on \(\mathcal H^n\) are completely positive
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras
• The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
• On the \(\mathbf P\)-property of \(\mathbf Z\) and Lyapunov-like transformations on Euclidean Jordan algebras
• On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems
• Cross-Positive Matrices
• The octonionic eigenvalue problem

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