A smoothing-type algorithm for solving inequalities under the order induced by a symmetric cone

DOI10.1186/1029-242X-2011-4zbMath1270.90083WikidataQ59269938 ScholiaQ59269938MaRDI QIDQ1951827

Nan Lu, Ying Zhang

Publication date: 24 May 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

global convergencesymmetric conelocal quadratic convergenceEuclidean Jordan algebrasmoothing-type algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (2)

Unified smoothing functions for absolute value equation associated with second-order cone ⋮ A Nonmonotone Smoothing-Type Algorithm for a System of Inequalities Associated with Circular Cones

Cites Work

• Convergence of a non-interior continuation algorithm for the monotone SCCP
• A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities
• A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function
• A smoothing-type algorithm for solving system of inequalities
• Smoothing algorithms for complementarity problems over symmetric cones
• Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities
• A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones
• On the solution of nonlinear inequalities in a finite number of iterations
• Solving nonlinear inequalities in a finite number of iterations
• Newton's method for nonlinear inequalities
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• Properties of a Class of Nonlinear Transformations Over Euclidean Jordan Algebras with Applications to Complementarity Problems
• A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
• A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems

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