36 lines
1.0 KiB
Matlab
36 lines
1.0 KiB
Matlab
% Given environment
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clear;
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% Setup the function under test
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syms x [2 1] real;
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fexpr = (1/3)*x(1)^2 +3*x(2)^2;
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title_fun = "$f(x) = \frac{1}{3}{x_1}^2 + 3{x_2}^2$";
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XSetLimmits = [-10, 5 ; -8, 12];
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% Calculate the gradient and Hessian
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grad_fexpr = gradient(fexpr, x); % Gradient of f
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hessian_fexpr = hessian(fexpr, x); % Hessian of f
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% Convert symbolic expressions to MATLAB functions
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fun = matlabFunction(fexpr, 'Vars', {x}); % Function
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grad_fun = matlabFunction(grad_fexpr, 'Vars', {x}); % Gradient
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hessian_fun = matlabFunction(hessian_fexpr, 'Vars', {x}); % Hessian
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% Minimum reference
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[Xmin, Fmin] = fminsearch(fun, [-1, -1]');
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Xmin = round(Xmin, 3);
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Fmin = round(Fmin, 3);
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% Amijo globals
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global amijo_beta; % Step reduction factor in [0.1, 0.5] (typical range: [0.1, 0.8])
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global amijo_sigma; % Sufficient decrease constant in [1e-5, 0.1] (typical range: [0.01, 0.3])
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%fixed step size globals
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global gamma_fixed_step
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global image_width,
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global image_height;
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image_width = 960;
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image_height = 640; |