A new class of smoothing complementarity functions over symmetric cones

DOI10.1016/j.cnsns.2009.12.006zbMath1222.90067OpenAlexW2041190659MaRDI QIDQ720236

De Yun Wei, Xing Tao Wang, Yuan-Min Li

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.12.006

zbMATH Keywords

Fréchet derivativesymmetric conecomplementarity problemcomplementarity functions

Mathematics Subject Classification ID

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

Related Items (8)

The models of bilevel programming with lower level second-order cone programs ⋮ Similarity automorphism invariance of some P-properties of linear transformations on Euclidean Jordan algebras ⋮ Improved smoothing Newton methods for symmetric cone complementarity problems ⋮ The same growth of FB and NR symmetric cone complementarity functions ⋮ Complementarity properties of the Lyapunov transformation over symmetric cones ⋮ A smoothing Newton method for ncps with the \(P_{0}\)-property ⋮ A one-parametric class of smoothing functions for second-order cone programming ⋮ Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects

Cites Work

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• Some P-properties for linear transformations on Euclidean Jordan algebras
• The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function
• Smoothing algorithms for complementarity problems over symmetric cones
• Some inertia theorems in Euclidean Jordan algebras
• A one-parametric class of merit functions for the symmetric cone complementarity problem
• A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones
• Linear systems in Jordan algebras and primal-dual interior-point algorithms
• Euclidean Jordan algebras and interior-point algorithms
• On the coerciveness of some merit functions for complementarity problems over symmetric cones

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