A popular approach to solving the nonlinear complementarity problem (NCP) is to
reformulate it as the global minimization of a certain merit function over ℝ n. A popular …

Abstract Recently Tseng (Math Program 83: 159–185, 1998) extended a class of merit
functions, proposed by Luo and Tseng (A new class of merit functions for the nonlinear …

Second-order conic optimization (SOCO) can be considered as a special case of
semidefinite optimization (SDO). In the literature it has been advised that a SOCO problem …

Abstract Recently, J.-S. Chen and P. Tseng extended two merit functions for the nonlinear
complementarity problem (NCP) and the semidefinite complementarity problem (SDCP) to …

In this paper, we propose a globally and quadratically convergent Newton-type algorithm for
solving monotone second-order cone complementarity problems (denoted by SOCCPs) …

Recently this author studied several merit functions systematically for the second-order cone
complementarity problem. These merit functions were shown to enjoy some favorable …

In this paper, using an optimal partition approach, we study the parametric analysis of a
second-order conic optimization problem, where the objective function is perturbed along a …

摘要主动配电网最优潮流模型是非凸模型, 难以保证优化结果的全局最优性和可靠收敛,
需要进行凸松弛以保证模型的可靠求解. 该文提出考虑分布式电源, 不同接线方式的有载调压器 …

We review finite convex reformulations of robust and distributionally robust optimization
problems and document their implementation in the conic optimization Python library …

It is well known that second-order cone (SOC) programming can be regarded as a special
case of positive semidefinite programming using the arrow matrix. This paper further studies …