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Mathematics, 22.10.2019 21:00 dkhakdoust

Let a ∈ r n×n be a symmetric positive definite matrix and b ∈ r n. define f : r n → r by f(y) = 1 2 y t ay − b t y. show that f is strictly convex. conclude that f has exactly one global minimum. (recall that strict convexity alone does not guarantee that a global minimum exists.)

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