Booth

Problem definition

Objective function
f = @(x) (x(:,1) + 2*x(:,2) - 7).^2 + (2*x(:,1) + x(:,2) - 5).^2
Optimization settings
o = struct	

% initializing struct

o.lb = -10

% lower bounds

o.ub = 10

% upper bounds

Graphic representation
[x,y] = meshgrid(o.lb:2:o.ub)
surf(x,y,f([x(:),y(:)]))

Problem properties

convexity smoothness minimum
1 f(1,3) = 0

Optimization example with fminsearch

Optimization
rng(0)	

% for tractability

x0 = [5,-5]

% initial guess

[xmin,fmin,info] = fminsearch(f,x0,o)

% running minimization

Animation
rng(0)
x0 = [5,-5]
[~,~,info] = fminsearch(f,x0,o)
info.sol = [1 3 0]	

% solution

info.animate = true

% plot animation

info.animfreq = 5

% frame frequency

optimview('fminsearch',info)

Related functions

fminsearch | meshgrid | surf