Question

True or False:

The following is a nonlinear programming model for optimizing x_1, x_2, and x_3 decision variables. g(x_1, x_2, x_3) = x_1 * x_2 + x_3

Answer 1

TRUE.

Explanation.

In mathematics, nonlinear programming is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear.

Definition

Let n, m, and p be positive integers. Let X be a subset of Rⁿ, let f, g_i, and h_j be real-valued functions on X for each i in {1, …, m} and each j in {1, …, p}, with at least one of f, g_i, and h_j being nonlinear.

A nonlinear minimization problem is an optimization problem of the form