BoxBOD

Problem definition

Objective function
f = @(x,b) b(1)*(1-exp(-b(2)*x))
Problem setup
dim = 2 

% dimension of the minimization problem

nb = 6

% number of points

% NIST certified values

target = zeros(dim,1) target(1) = 2.1380940889E+02 target(2) = 5.4723748542E-01

% start 1

ig1 = [1;1]

% start 2

ig2 = [100;0.75]

% points to fit

x = zeros(nb,1) y = zeros(nb,1) y(1) = 109; x(1) = 1; y(2) = 149; x(2) = 2; y(3) = 149; x(3) = 3; y(4) = 191; x(4) = 5; y(5) = 213; x(5) = 7; y(6) = 224; x(6) = 10;
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)

Related functions

lsqcurvefit | plot | scatter