A new smoothing and regularization Newton method for the symmetric cone complementarity problem

DOI10.1007/s12190-016-1026-7zbMath1374.90377OpenAlexW2413000160MaRDI QIDQ1677120

Rui-Juan Liu

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1026-7

zbMATH Keywords

regularization methodEuclidean Jordan algebrasmoothing Newton methodsymmetric cone complementarity problem

Mathematics Subject Classification ID

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

Related Items (1)

Strong convergence properties of a modified nonmonotone smoothing algorithm for the SCCP

Uses Software

• SCCP

Cites Work

• Unnamed Item
• A regularized smoothing Newton method for solving the symmetric cone complementarity problem
• A modified smoothing and regularized Newton method for monotone second-order cone complementarity problems
• Improved smoothing Newton methods for symmetric cone complementarity problems
• A new smoothing and regularization Newton method for \(P_{0}\)-NCP
• Smoothing algorithms for complementarity problems over symmetric cones
• A smoothing-type algorithm for solving nonlinear complementarity problems with a non-monotone line search
• Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search
• A family of new smoothing functions and~a~nonmonotone smoothing Newton method for the nonlinear complementarity problems
• Smoothing Newton algorithm for symmetric cone complementarity problems based on a one-parametric class of smoothing functions
• Extension of smoothing functions to symmetric cone complementarity problems
• The convergence of a modified smoothing-type algorithm for the symmetric cone complementarity problem
• A smoothing-type algorithm for the second-order cone complementarity problem with a new nonmonotone line search
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
• Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
• A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
• A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems

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