Complementarity properties of Peirce-diagonalizable linear transformations on Euclidean Jordan algebras†

DOI10.1080/10556788.2011.626036zbMath1336.17019OpenAlexW2040409099MaRDI QIDQ5200558

M. Seetharama Gowda, Jiyuan Tao, Roman Sznajder

Publication date: 6 November 2012

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2011.626036

zbMATH Keywords

linear complementarity problemsymmetric coneEuclidean Jordan algebraquadratic representationSchur/Hadamard productLypaunov transformationpeirce-diagonalizable transformation

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Linear transformations, semilinear transformations (15A04) Simple, semisimple Jordan algebras (17C20) Jordan structures on Banach spaces and algebras (17C65)

Related Items (8)

A pointwise weak-majorization inequality for linear maps over Euclidean Jordan algebras ⋮ Some log and weak majorization inequalities in Euclidean Jordan algebras ⋮ Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras ⋮ Some majorization inequalities induced by Schur products in Euclidean Jordan algebras ⋮ A Hölder type inequality and an interpolation theorem in Euclidean Jordan algebras ⋮ Hadamard product and related inequalities in the Jordan spin algebra ⋮ Linear complementarity problems over symmetric cones: characterization of \(Q _{b }\)-transformations and existence results ⋮ Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras

Cites Work

• Unnamed Item
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• Some inequalities involving determinants, eigenvalues, and Schur complements in Euclidean Jordan algebras
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Monotone functions on formally real Jordan algebras
• Z-transformations on proper and symmetric cones
• On the finiteness of the cone spectrum of certain linear transformations on Euclidean Jordan algebras
• An existence theorem for the complementarity problem
• On Q-matrices
• A Continuation Method for Nonlinear Complementarity Problems over Symmetric Cones
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• Cross-Positive Matrices

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