Please see the attached file for the fully formatted problems.
Let be defined for as:
1) Evaluate (upside down Delta) Jx.
2) Calculate HessJx .
3) Prove mathematically that J has a unique minimum.
4) a) We are given . Describe the algorithm of the gradiant of optimal step for this function J.
b) Prove mathematically that .
c) Deduce the scalar equation that needs to be solved at each iteration in order to obtain the step.
Optimization questions are answered. The solution is detailed and well presented.