According to wikipedia, "the necessary conditions are sufficient for optimality if the objective function of a maximization problem is a concave function, the inequality constraints are continuously differentiable convex functions and the equality constraints are affine functions". What about the case for minimization problem?
2026-03-26 06:11:45.1774505505
What is the sufficient condition for optimality of minimization problem?
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Exactly the same, except for changing the conditions to "objective function of a minimization problem is a convex function"
Indeed, this is equivalent because the optimal argument values for minimizing a function are the same as those for maximizing the negative of the function; and the negative of a concave function is a convex function.