Abstract The Environmental and Economic Dispatch Problem with Valve-Point loading effect
representation (EEDP-VP) is a multi-objective, nonconvex and non-differentiable …

This paper proposes a predictor–corrector primal–dual modified log-barrier interior–exterior
point method with global convergence and cubic fitting strategies for solving the Reactive …

The paper addresses the nonconvex nonsmooth optimization problem with the cost function,
and equality and inequality constraints given by dc functions, ie represented as a difference …

We classify in this paper different augmented Lagrangian functions into three unified
classes. Based on two unified formulations, we construct, respectively, two convergent …

This paper proposes a methodology involving the primal-dual predictor-corrector
interior/exterior point, the progressive bounded constraints and the arctangent smoothing …

In the economic dispatch problem, the objective is to determine the active power output of
the generating units in order to supply the demand and minimize the fuel costs associated …

In this paper, we present new convergence properties of the primal-dual method based on
four types of augmented Lagrangian functions in the context of constrained global …

In this paper, we propose a smoothing augmented Lagrangian method for finding a
stationary point of a nonsmooth and nonconvex optimization problem. We show that any …

Many recent convergence results obtained for primal-dual interior-point methods for
nonlinear programming, use assumptions of the boundedness of generated iterates. In this …

In this paper, we propose a predictor–corrector primal–dual approach for the doubly
modified logarithmic barrier function (M^ 2 BF M 2 BF) method in order to solve Optimal …