- #1
ozlegolas
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Homework Statement
Hi all,
I have a project for optimization class and the problem is that:
A curve [tex]\alpha[/tex](t) = (x(t),y(t)) of length L = 6 units is to be found so that the area enclosed by the curve and the x-axis is maximum. Curve will be start at (1, 0) and end at (3, 0).
I am supposed to solve this problem by using various kind of optimization algorithms which are Steepest descent, Newton’s method, Fletcher-Reeves and Davidon-Fletcher-Powell. I'll apply these methods in Matlab.
The Attempt at a Solution
Since these methods are for unconstrained optimization problems, I think I should treat this constrained problem as an unconstrained problem using some methods like penalty and barrier methods. However, I could't find out which method I should apply.
Thanks in advance..