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Gradient and Hessian property

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claudiocamera

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Hello There !

Given f(x) where x is a vector [ x1, x2, x3...xn] from here, it is easy to calculate the gradient of f(x) and the Hessian of f(x).

Now supose that I perform a change of variables such that x=Sy, where S is an nxn inversible matrix.

How can I express the gradient of f(x) and the Hessian of f(x) in terms of the y variable ?
 

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