Gradient Method with Backtracking Parameters alpha and beta

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Hello,
I'm having trouble trying to implement the following optimization problem.
There's a lot of function already created that computes the gradient method but I don't know how to implement this problem into them.
https://www.mathworks.com/matlabcentral/fileexchange/35535-simplified-gradient-descent-optimization
Any assistance is greatly apreciated.
Thank You!

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