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Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
(Springer, 2015)
The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order ...
Second-order variational analysis in conic programming with applications tooptimality and stability
(SIAM Publications, 2015)
This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a secondorder generalized differential approach of ...
Analysis of the precision of a second-order conic model to solve the optimal power dispatch problem in electric power systems
(Springer, 2021-07-27)
This paper presents in-depth comparative analyses of nonlinear nonconvex programming (NLNCP) and secondorder conic programming (SOCP) models to solve the optimal power flow problem in electric power systems. For comparative ...
Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint
(2018)
Some topological and geometric characterizations of strong duality for a non convex optimization problem under a single equality and geometric constraints are established. In particular, a hidden convexity of the conic ...