minimize a 2d function including phase
1 view (last 30 days)
Show older comments
I am trying to minimize a function in which I use the angle() function. The function mathematically is smooth and monotonous, and therefore if someone search for the min there should be only one answer. However for different starting values I get different results.
In a nutshel, this is the function I try to minimize,
function y = delta(n1)
n = n1(1)-1i*n1(2);
T = ( 4*n/(n + 1)^2 ) * exp(-1i*(n - 1) * 3) ;
deltaRho = log( sqrt( T * conj(T)) ) - log(0.05);
deltaPhi = angle(T) - 10;
y = deltaRho^2 + deltaPhi^2;
end
and I call,
fminsearch(@delta,n0)
Is there any way to fix the angle() jumps and find the unique solution to that monotonous function.
George.
2 Comments
Matt J
on 30 Oct 2012
Your function is from R^2-->R. Please give your definition of monotonicity of such a function.
Also, since your function uses complex arithmetic, it would probably be wise to insert some calls to REAL to get rid of complex-valued floating point errors.
Answers (0)
See Also
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!