What is the difference between Optimization and Nonlinear Equations or Constrained Optimization and Nonlinear Equations?
A. Optimization and Constrained Optimization can solve systems of equations by minimizing the sum of squared deviations. Nonlinear Equations has been specially designed to handle this type of problem and for that reason can be expected to solve it more efficiently. However, Nonlinear Equations cannot handle constrained problems, and thus for that type of problem Constrained Optimization would be the better choice.