Answer to Question #19312 in Functional Analysis for Ze

Question #19312
__Unconstrained Function__ F = x₁² + 1/x₁ + x₂ + 1/x₂ Question(a) At x₁ =2 & x₂ = 2, calculate gradient of F. Question(b) And then, calculate the direction of the deepest descent. Question(c) Using the direction of the steepest descent from (b), update the design by the standard formula : x¹ = x⁰ + αS¹ Evaluate x₁ , x₂ & F for α=0, 0.2, 0.5, & 1.0 and plot the curve of F versus α. Question(d) Write the equation for F in terms of α alone. Discuss the character of the function. Question(e) From (d), calculate dF/dα at α=0. Question(f) Calculate the scalar product ∇F•S using the results of (a) and (b) and compare this with the result of (e).
Expert's answer
Unfortunately, your question requires a lot of work and cannot be done for free.
Submit it with all requirements as an assignment to our control panel and we'll assist you.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

New on Blog