Exact Formula for the Second-Order Tangent Set of the Second-Order Cone Complementarity Set

DOI10.1137/17M1140479zbMath1427.90229arXiv1906.09976OpenAlexW2994457221WikidataQ126593571 ScholiaQ126593571MaRDI QIDQ5203797

Jin Zhang, Jane J. Ye, Jein-Shan Chen, Jin Chuan Zhou

Publication date: 9 December 2019

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09976

zbMATH Keywords

projection operatorsecond-order tangent setssecond-order directional derivativesmathematical program with second-order cone complementarity constraintssecond-order necessary optimality conditionssecond-order cone complementarity sets

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (5)

Optimality conditions for circular cone complementarity programs ⋮ Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications ⋮ Second order variational analysis of disjunctive constraint sets and its applications to optimization problems ⋮ Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming ⋮ Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems

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