Nonlinear optimization problems can have only one local optimal solution.Group of answer choicesTrueFalse
Question
Nonlinear optimization problems can have only one local optimal solution.Group of answer choicesTrueFalse
Solution
The correct answer is "False."
Explanation:
Nonlinear optimization problems can have multiple local optimal solutions. This is because the objective function in a nonlinear optimization problem is not a straight line, and it can have various peaks and valleys. Each peak (for maximization problems) or valley (for minimization problems) can be a local optimal solution. The global optimal solution is the highest peak (for maximization) or the lowest valley (for minimization), but there can be other local optima in the feasible region.
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