Primal–dual quasi-Newton (PDQN)PDQN-APPCoordinated corrective control (CC) is indispensable for protecting multi-area interconnected power grids operated by independent entities against post-contingency overloads, and even subsequent cascading failures. Generally, CC strategies are generated online by ...
Dual Quasi-Newton Algorithm for Infinitely Constrained Optimization Problems This paper deals with an infinitely constrained optimization problem-a nonlinear programming problem with an infinite number of constraints. This problem c... ITO,Satoshi,SHIMIZU,Kiyotaka - 《Transactions of the Society of Instrume...
Multiple Greedy Quasi-Newton Methods for Saddle Point Problems This paper introduces the Multiple Greedy Quasi-Newton (MGSR1-SP) method, a novel approach to solving strongly-convex-strongly-concave (SCSC) saddle point ... M Xiao,S Bo,Z Wu 被引量: 0发表: 2024年 Transformed primal-dual method...
Quasi-Newton methods are well known techniques for large-scale numerical optimization. They use an approximation of the Hessian in optimization problems or the Jacobian in system of nonlinear equations. In the Interior Point context, qua... J Gondzio,FNC Sobral 被引量: 0发表: 2022年 theoretical...
We propose to solve the latter problem with a quasi-Newton algorithm. We assess this approach with numerical experiments which show that fairly large problems can be solved efficiently. 展开 关键词: Theoretical or Mathematical/ calibration covariance matrices duality (mathematics) least squares ...
A primal-dual interior point algorithm for solving general nonlinear programming problems is presented. The algorithm solves the perturbed optimality conditions by applying a quasi-Newton method, where the Hessian of the Lagrangian is replaced by a positive definite approximation. An approximation of ...
We have proposed solid elastic metamaterials with anisotropic stiffness and inertial mass simultaneously, denoted as the dual anisotropy, for the potential use of elastic wave controlling. The dual anisotropy has been designed weakly dispersive in a broa
As an example where optimization could be added to further improve the solution’s accuracy for larger cut sizes, we used a standard quasi-Newton numerical optimization method to improve the error in the range ofL ∈ [a/4,a/2], i.e. roughly the half-domain where the original formula...
Finite Deformation Contact Based on a 3D Dual Mortar and Semi-Smooth Newton Approach The mortar finite element method, which is applied as discretization scheme, initially yields a mixed formulation with the nodal Lagrange multiplier degrees of freedom as additional primary unknowns. However, by using...
where κ>0κ>0 is the barrier parameter, and in a basic primal barrier method, this convex optimisation problem is solved using Newton’s method. With a decreasing sequence of values of κκ, the QP problem will be solved to a given accuracy, but the calculation can be onerous when the...