subject: Optimization Is my proof correct? \"Let f be twice differentiable, let

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 wear

Explanation / 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.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.