Question

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4. (4 pt) Answer True or False a. A positive definite quadratic form must have positive value for any b. The Hessian of an unconstrained function at its local minimum point must be positive semidefinite. С. If a slack variable has zero value at the optimum point, the inequality constraint is inactive. d. At the optimum point, the number of active independent constraints is always more than the number of design variables. e. At the optimum point, Lagrange multipliers for the "s" type of inequality constraint must be nonnegative A point satisfying KKT condition for a general optimum design problem can be a local max-point for the cost function. g. A function is convex if and only if its Hessian is positive definite everywhere. h. A nonconvex programming problem cannot have global optimum solution.

Answer 1

4 TRUE TRUE TRUE . TRUE TRUE FALSE. h〉 FALSE