Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems

DOI10.1007/s10107-010-0432-0zbMath1245.90130OpenAlexW2000722448MaRDI QIDQ431004

Lingchen Kong, Tunçel, Levent, Nai-Hua Xiu

Publication date: 26 June 2012

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-010-0432-0

zbMATH Keywords

monotonicityEuclidean Jordan algebrasymmetric cone complementarity problemC-functionLöwner operator

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Continuity and differentiation questions (26B05)

Related Items (7)

Monotonicity and circular cone monotonicity associated with circular cones ⋮ On the range of the pseudomonotone second-order cone linear complementarity problem ⋮ The Hölder continuity of Löwner's operator in Euclidean Jordan algebras ⋮ Jacobian nonsingularity in nonlinear symmetric conic programming problems and its application ⋮ Sparse recovery on Euclidean Jordan algebras ⋮ Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects ⋮ Solution analysis for the pseudomonotone second-order cone linear complementarity problem

Uses Software

• SCCP

Cites Work

• Unnamed Item
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Monotone functions on formally real Jordan algebras
• Clarke generalized Jacobian of the projection onto symmetric cones
• Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras
• Smoothing algorithms for complementarity problems over symmetric cones
• Merit functions for semi-definite complementarity problems
• Euclidean Jordan algebras and interior-point algorithms
• Über monotone Matrixfunktionen
• New smooth C-functions for symmetric cone complementarity problems
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
• SOME PROPERTIES OF A CLASS OF MERIT FUNCTIONS FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
• Equivalence of the Complementarity Problem to a System of Nonlinear Equations
• Derivatives of Spectral Functions
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Convex Analysis on the Hermitian Matrices
• Interior Point Trajectories and a Homogeneous Model for Nonlinear Complementarity Problems over Symmetric Cones

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