Local energy systems (LES) are designed to decarbonize, balance, and coordinate supply, storage demand resources. Which local conditions enable LES flourish? Using a unique dataset of 146 projects in the UK from 2010 2020, we apply econometric methods identify energy, institutional socio-economic significantly associated with LES, but not other forms. We show distributed power generation, low-c...

We establish local convergence and rate of convergence of the classical augmented Lagrangian algorithm under the sole assumption that the dual starting point is close to a multiplier satisfying the second-order sufficient optimality condition. In particular, no constraint qualifications of any kind are needed. Previous literature on the subject required, in addition, the linear independence con...

Abstract. A nonlinearly constrained minimization problem can be solved by the exact penalty approach involving nondifferentiable functions and max 0 . In this paper, a trust region approach based on a 2-norm subproblem is proposed for solving a nonlinear 1 problem. The (quadratic) approximation and the trust region subproblem are defined using affine scaling techniques. Explicit sufficient decr...

This paper describes and analyzes an algorithmic framework for solving nonlinear programming problems in which strict complementarity conditions and constraint qualifications are not necessarily satisfied at a solution. The framework is constructed from three main algorithmic ingredients. The first is any conventional method for nonlinear programming that produces estimates of the Lagrange mult...

In this short note, we investigate necessary optimality conditions for boundary control of the obstacle problem. By means of a counterexample, we show that the so-called strong stationarity conditions are not necessary for local optimality, even in the case of a one-dimensional domain.