The Hölder continuity of Löwner's operator in Euclidean Jordan algebras

DOI10.1007/s11590-012-0515-3zbMath1305.90328OpenAlexW2041290022MaRDI QIDQ395833

Nan Lu, Zheng-Hai Huang

Publication date: 30 January 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0515-3

zbMATH Keywords

Hölder continuityEuclidean Jordan algebraLöwner's operator

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Jordan algebras (algebras, triples and pairs) (17C99)

Cites Work

• Unnamed Item
• Unnamed Item
• Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems
• Analysis of nonsmooth vector-valued functions associated with second-order cones.
• Monotone functions on formally real Jordan algebras
• Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras
• Smoothing algorithms for complementarity problems over symmetric cones
• The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
• Extension of primal-dual interior point algorithms to symmetric cones
• Über monotone Matrixfunktionen
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• Properties of a Class of Nonlinear Transformations Over Euclidean Jordan Algebras with Applications to Complementarity Problems
• Analysis of Nonsmooth Symmetric-Matrix-Valued Functions with Applications to Semidefinite Complementarity Problems
• Derivatives of Spectral Functions
• Convex Analysis on the Hermitian Matrices
• Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras

This page was built for publication: The Hölder continuity of Löwner's operator in Euclidean Jordan algebras