Properties of a Class of Nonlinear Transformations Over Euclidean Jordan Algebras with Applications to Complementarity Problems

DOI10.1080/01630560903123304zbMath1180.90340OpenAlexW2082003790MaRDI QIDQ3184202

Zheng-Hai Huang, Nan Lu, Ji-ye Han

Publication date: 13 October 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903123304

zbMATH Keywords

Euclidean Jordan algebrasnonlinear transformationssmoothing algorithmsymmetric cone complementarity problems

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) Idempotents, Peirce decompositions (17C27)

Related Items (5)

Randomized Kaczmarz methods for tensor complementarity problems ⋮ The Hölder continuity of Löwner's operator in Euclidean Jordan algebras ⋮ A smoothing-type algorithm for solving inequalities under the order induced by a symmetric cone ⋮ A smoothing Newton algorithm for a class of non-monotonic symmetric cone linear complementarity problems ⋮ Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects

Uses Software

• SCCP

Cites Work

• Unnamed Item
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Monotone functions on formally real Jordan algebras
• A one-parametric class of merit functions for the symmetric cone complementarity problem
• Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search
• Linear systems in Jordan algebras and primal-dual interior-point algorithms
• Euclidean Jordan algebras and interior-point algorithms
• Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank
• Extension of primal-dual interior point algorithms to symmetric cones
• New smooth C-functions for symmetric cone complementarity problems
• Associative and Jordan Algebras, and Polynomial Time Interior-Point Algorithms for Symmetric Cones
• 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
• Optimization and nonsmooth analysis
• Analysis of Nonsmooth Symmetric-Matrix-Valued Functions with Applications to Semidefinite Complementarity Problems
• Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• Interior Point Trajectories and a Homogeneous Model for Nonlinear Complementarity Problems over Symmetric Cones

This page was built for publication: Properties of a Class of Nonlinear Transformations Over Euclidean Jordan Algebras with Applications to Complementarity Problems