In this paper, we are concerned with a differentiable nonlinear programming problem with inequality constraints. By using an equivalent transformation of the constrained optimization problem we ...

Abstract A new characterization of the exact minimax penalty function method is presented. The exactness of the penalization for the exact minimax penalty function method is analyzed in the context of ...

The study of Lagrangian dynamics has long served as a cornerstone in theoretical physics, providing an elegant formulation for the equations of motion across diverse systems. Recent advances have ...

The nonlinear programming (NLP) problem with one objective function f and m constraint functions c i, which are continuously differentiable, is defined as follows: In the preceding notation, n is the ...

One course in optimization (including primal, dual problems, Lagrangian functions), linear algebra, calculus, familiar with real analysis or permission of instructor. Large-scale networks and datasets ...