On the coderivative of the projection operator onto the second-order cone
From MaRDI portal
Publication:1005151
DOI10.1007/s11228-008-0092-xzbMath1161.49011OpenAlexW2166234392MaRDI QIDQ1005151
Publication date: 16 March 2009
Published in: Set-Valued Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-008-0092-x
Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)
Related Items
A note on the optimality condition for a bilevel programming ⋮ Inverse truss design as a conic mathematical program with equilibrium constraints ⋮ First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints ⋮ An alternating direction method for second-order conic programming ⋮ An alternating direction method for convex quadratic second-order cone programming with bounded constraints ⋮ The models of bilevel programming with lower level second-order cone programs ⋮ Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method ⋮ Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems ⋮ Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials ⋮ Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization ⋮ A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations ⋮ Generalized differentiation of piecewise linear functions in second-order variational analysis ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints ⋮ A projection neural network for circular cone programming ⋮ Optimality conditions for vector optimization problem governed by the cone constrained generalized equations ⋮ A Barzilai and Borwein regularization feasible direction algorithm for convex nonlinear SOC programming with linear constraints ⋮ Mathematical programs with complementarity constraints in Banach spaces ⋮ Variational geometry of the complementarity set for second order cone ⋮ On a convex set with nondifferentiable metric projection ⋮ Exact formulas for the proximal/regular/limiting normal cone of the second-order cone complementarity set ⋮ On the Aubin property of a class of parameterized variational systems ⋮ Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints ⋮ On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality ⋮ Grasping force optimization for multi-fingered robotic hands using projection and contraction methods ⋮ Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems ⋮ Exact Formula for the Second-Order Tangent Set of the Second-Order Cone Complementarity Set ⋮ Two approaches for solving mathematical programs with second-order cone complementarity constraints ⋮ Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects ⋮ Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming ⋮ Second-order variational analysis in second-order cone programming ⋮ First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints ⋮ On the co-derivative of normal cone mappings to inequality systems ⋮ Variational analysis of circular cone programs ⋮ Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints ⋮ A prediction-correction inexact alternating direction method for convex nonlinear second-order cone programming with linear constraints ⋮ Full Stability in Finite-Dimensional Optimization ⋮ An Inexact Augmented Lagrangian Method for Second-Order Cone Programming with Applications ⋮ Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming ⋮ Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem ⋮ Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of nonsmooth vector-valued functions associated with second-order cones.
- Monotone functions on formally real Jordan algebras
- Applications of second-order cone programming
- The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
- Generalized differential calculus for nonsmooth and set-valued mappings
- Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems
- On concepts of directional differentiability
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Smoothing Functions for Second-Order-Cone Complementarity Problems
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Optimization and nonsmooth analysis
- Strongly Regular Generalized Equations
- Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization
- Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems
