I have a desired vector u=[1 2 pi/4.1 pi/4]. I am using a metaheuristic algorithm BOA (Butterfly Optimization Algorithm). I estimate 100 vectors of the same size as u. I determine Error between u and each estimated vector. i.e. E1=u-Est1, E2=u-Est2, ---------E100=u-Est100. So I get 100 error vectors of same size as u.
The nature of 1st two elements in each vector is same i.e. both are amplitudes, and nature of 3rd and 4th elements are same,i.e both are angles.
My question is what performance metrics can I use for this on the basis of which I can comment on the performance of this algorithm. i.e. I am able to say that the algorithm is better because it estimated my vector approximately like my desired etc.