CEE 38042OptimizationWhile root finding involves searching for zeros of a function, optimization involves searching for a maximum or minimum of a function. An optimum occurs where the curve is flat. Hence f’(x) = 0 at an optimum. The second derivative f’’(x) is positive for a minimum and negative for a maximum.
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CEE 38044Types of OptimizationSome optimization algorithms treat the problem as a root finding problem for f’(x). As with roots, a distinction is made between single variable problems and multivariable problems.