A smoothing method for second order cone complementarity problem
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Publication:1019772
DOI10.1016/j.cam.2008.08.040zbMath1169.65062OpenAlexW1977567679MaRDI QIDQ1019772
Zhenhua Liu, Xiangsong Zhang, San-Yang Liu
Publication date: 28 May 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.040
algorithmglobal convergencenumerical resultscoercivenesssecond-order cone complementarity problemsmoothing Newton method
Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
- Unnamed Item
- Unnamed Item
- Some P-properties for linear transformations on Euclidean Jordan algebras
- A unified approach to interior point algorithms for linear complementary problems
- Non-interior continuation methods for solving semidefinite complementarity problems
- Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a \(P_0\) function
- Second-order cone programming
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- A nonsmooth version of Newton's method
- An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
- Smoothing Functions for Second-Order-Cone Complementarity Problems
- Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem
- Semismooth and Semiconvex Functions in Constrained Optimization
- A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen--Mangasarian Smoothing Functions
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems
- Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
