Some new results on the \(\mathbf{P}\)-type properties of \(\mathbf{Z}\)-transformations on symmetric cones

DOI10.1007/s11117-022-00939-5zbMath1501.90101OpenAlexW4296967430MaRDI QIDQ2082055

Chiranjit Mondal, Balaji Ramamurthy

Publication date: 30 September 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00939-5

zbMATH Keywords

symmetric conesfacesEuclidean Jordan algebra\(\mathbf{P}\)-property\(\mathbf{Z}\)-transformations

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Finite-dimensional structures of Jordan algebras (17C55)

Cites Work

• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras
• An existence theorem for the complementarity problem
• On the completely-Q property for linear transformations on Euclidean Jordan algebras
• On the \(\mathbf P\)-property of \(\mathbf Z\) and Lyapunov-like transformations on Euclidean Jordan algebras
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• Linear Transformations with Invariant Cones
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