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About convex function: (1) Please show that f(x) = ax2 + bx + c is a...

About convex function:

(1) Please show that f(x) = ax2 + bx + c is a convex function if and only if a ≥ 0.

(2) Please show that f(x) = 1/2·xTQx+aTx is a convex function if and only if Q is positive semi-definite.

Math   Calculus   
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