DanWood
Problem definition
Objective function
f = @(x,b) b(1)*x.^b(2)
Problem setup
dim = 2% dimension of the minimization problem
nb = 6% number of points
% NIST certified values
target = zeros(dim,1) target(1) = 7.6886226176E-01 target(2) = 3.8604055871E+00% start 1
ig1 = [1;5]% start 2
ig2 = [0.7;4]% points to fit
x = zeros(nb,1); y = zeros(nb,1); x(1)=1.309; y(1)=2.138 x(2)=1.471; y(2)=3.421 x(3)=1.49; y(3)=3.597 x(4)=1.565; y(4)=4.34 x(5)=1.611; y(5)=4.882 x(6)=1.68; y(6)=5.66
Graphic representation
scatter(x,y)
Optimization example with lsqcurvefit
Optimization
rng(0)% for tractability
[b,info] = lsqcurvefit(f,ig1,x,y)% running minimization
Animation
rng(0) [~,info] = lsqcurvefit(f,ig1,x,y) info.plot = 'fit' info.animate = true% plot animation
optimview('lsqcurvefit',info)