A second-order sequential optimality condition associated to the convergence of optimization algorithms

From MaRDI portal
Publication:4683812

DOI10.1093/imanum/drw064zbMath1433.90156OpenAlexW2575646877MaRDI QIDQ4683812

Paulo J. S. Silva, Alberto Ramos, Gabriel Haeser, Roberto Andreani

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/67f95be35a1d7125544856894525420fceca0d5c




Related Items

Some theoretical limitations of second-order algorithms for smooth constrained optimizationSecond-order enhanced optimality conditions and constraint qualificationsA Note on the McCormick Second-Order Constraint QualificationOn the weak second-order optimality condition for nonlinear semidefinite and second-order cone programmingA Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity GuaranteesA Newton-CG Based Augmented Lagrangian Method for Finding a Second-Order Stationary Point of Nonconvex Equality Constrained Optimization with Complexity GuaranteesOn the approximate solutions of augmented subproblems within sequential methods for nonlinear programmingAugmented Lagrangians with constrained subproblems and convergence to second-order stationary pointsSimple algorithms for optimization on Riemannian manifolds with constraintsConvergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity ConstraintsNew Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic ConsequencesOptimality conditions and global convergence for nonlinear semidefinite programmingAn augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problemAugmented Lagrangian method for second-order cone programs under second-order sufficiencyOptimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundaryMathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences