📄 banana.m
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function out = banana(x, y, mode)
%BANANA Rosenbrock's banana function.
% The minimum point is [1.1], at which f(x,y)=0.
if nargin <= 2, mode = 0; end
if mode == 0, % return function value
out= 100.*(y-x.^2).^2+(1-x).^2;
elseif mode == 1, % return gradient
fx = -400.*(y-x.^2).*x-2+2.*x;
fy = 200.*y-200.*x.^2;
out = [fx; fy];
elseif mode == 2, % return Hessian
fxx=1200.*x.^2-400.*y+2;
fxy=-400.*x;
fyy=200;
out = [fxx fxy; fxy fyy];
else
error('Wrong mode value!');
end
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