This book describes a tool for mathematical modeling: the Python Optimization Modeling
Objects (Pyomo) software. Pyomo supports the formulation and analysis of mathematical …

This book describes a tool for mathematical modeling: the Python Optimization Modeling
Objects (Pyomo) software. Pyomo supports the formulation and analysis of mathematical …

This paper gives an extensive documentation of applications of finite-dimensional nonlinear
complementarity problems in engineering and equilibrium modeling. For most applications …

The modern era of interior-point methods dates to 1984, when Karmarkar proposed his
algorithm for linear programming. In the years since then, algorithms and software for linear …

The PATH solver is an implementation of a stabilized Newton method for the solution of the
Mixed Complementarity Problem. The stabilization scheme employs a path-generation …

We propose a class of parametric smooth functions that approximate the fundamental plus
function,(x)+= max {0, x}, by twice integrating a probability density function. This leads to …

A fundamental mathematical problem is to find a solution to a square system of nonlinear
equations. There are many methods to approach this problem, the most famous of which is …

We consider the problem of finding a solution of a constrained (and not necessarily square)
system of equations, ie, we consider systems of nonlinear equations and want to find a …

Successive overrelaxation (SOR) for symmetric linear complementarity problems and
quadratic programs is used to train a support vector machine (SVM) for discriminating …

In this paper, based on the projection strategy, we propose a derivative-free iterative method
for large-scale nonlinear monotone equations with convex constraints, which can generate a …