Evolutionary Algorithms Solutions Problem Set - MATLAB

1510505005−5−54 Fletcher and Powellfunction F = fletcher_powell(A, B, alpha, x)% A, B: n-by-n matrix, real; alpha, x: column vector, realn = length(A(:,1));for (i=1:n)p(i) = sum(A(:,i) .* sin(alpha) + B(:,i) .* cos(alpha));q(i) = sum(A(:,i) .* sin(x) + B(:,i) .* cos(x));endF = sum((p - q) .^ 2);endTo plot the Fletcher and Powell function in 3D for −π ≤ x i ≤ π, a ij , b ij ∈ [−100, 100], andα ∈ [−π, π], type:>> A = rand(2) * 100 - 100>> B = rand(2) * 100 - 100>> alpha = rand(2,1) * 2*pi - pi>> func = @(x) fletcher_powell(A, B, alpha, x)>> plot_2d_function(func, -pi * ones(2,1), pi * ones(2,1))