MathComputational mathOptimization

Gradient Descent

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Given a function f(x,y)=x2+y2f(x,y)=\sqrt{x^2+y^2}, a starting point x0=(2,3)\bold{x}_0=(2,3), a step size γ=0.8\gamma = 0.8, and k=3k=3. What is the approximated minimum zmin=f(x∗,y∗)z_{min}=f(x^*,y^*) where x∗=(x∗,y∗)\bold{x^*} = (x^*, y^*) is the minimizer found with the Gradient Descent method? Round your answer to one decimal point.

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