What is the concept of constrained optimization in Numerical Analysis?

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What is the concept of constrained optimization in Numerical Analysis?

Constrained optimization in Numerical Analysis refers to the process of finding the maximum or minimum value of a function, subject to a set of constraints. These constraints can be in the form of equations or inequalities that restrict the feasible region of the optimization problem. The goal is to find the optimal solution that satisfies the constraints while optimizing the objective function. Various numerical methods, such as linear programming, nonlinear programming, and quadratic programming, are used to solve constrained optimization problems in Numerical Analysis.