subject: Optimization Is my proof correct? \"Let f be twice differentiable, let
ID: 3028504 • Letter: S
Question
subject: Optimization
Is my proof correct?
"Let f be twice differentiable, let bar{x} be a local minimizer for f. using the quadratic approximation, prove the Hessian matrix Hf(x) is positive semidefinite."
questions: is the norm a part of the approximation? did i fully explain it?
Q1] Let f Rn -t be twice differentiable at r, and let be a local m mizer for f. Using the quadratic R approximation for f, prove that the Hessian matrix H f(i) is positive semidefinite. The quadra ho appr hur f says is a local minim laen f (x) f(Y). So, let tif be psD. Then, 3 a 820 so that x wearExplanation / Answer
The image is not quite visible. However, your first question van be answered easily, yes the norm is the part of approximation.
The method you've used seems correct.