Descent gradient method

JS10

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May 1, 2019
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Hello,
Can you please help me to solve this exercise:

Let f a function that satisfies:
- f is class C2 and strictly convex (f'' (x) > 0).
- There is x*, f' (x*) = 0.
Question is: prove that the minimum of f is reached in x* and it's unique? Using the descent gradient method (build a sequence (Xn)/ Xn+1 = Xn - γ f′(Xn)).

Thanks.
 
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