30 lines
1.1 KiB
Matlab
30 lines
1.1 KiB
Matlab
% Define environment (functions, gradients etc...)
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GivenEnv
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% Define parameters
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max_iter = 1000; % Maximum iterations
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tol = 1e-4; % Tolerance
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% Point x0 = (1, 1)
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% =========================================================================
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point = 1;
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x0 = [5, -5]';
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point_str = "[" + x0(1) + ", " + x0(2) + "]";
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f = fun(x0);
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gf = grad_fun(x0);
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hf = hessian_fun(x0);
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fprintf('Initial point (%d, %d), f = %f, grad = [%f;%f], hessian = [%f %f ; %f %f]=> Method applicable\n', x0, f, gf, hf);
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for g=[0.1, 0.3, 0.5, 3, 5]
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gamma_fixed_step = g;
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[x_fixed, f_fixed, kk] = method_SteepDesc(fun, grad_fun, x0, tol, max_iter, 'fixed');
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fprintf('Fixed step g=%f: Initial point (%f, %f), steps:%d, Final (x1,x2)=(%f, %f), f(x1,x2)=%f\n', g, x0, kk, x_fixed(:, end), f_fixed(end));
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if g <= 1
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plotPointsOverContour(x_fixed, fun, XSetLimmits(1, :), XSetLimmits(2, :), 100, point_str + ": Steepest descent $\gamma$ = " + gamma_fixed_step, "");
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else
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plotPointsOverContour(x_fixed, fun, [-500, 500], [-500, 500], 100, point_str + ": Steepest descent $\gamma$ = " + gamma_fixed_step, "");
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end
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end
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