43 lines
762 B
Mathematica
43 lines
762 B
Mathematica
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%% Exercise 3.1
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% f(x1, x2) = x1^2 + u * x2^2;
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% [x1 x2] [1 0] [x1] + [0][x1]
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% [0 u] [x2] + [0][x2]
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% A = [1 0; 0 u]; b = [0; 0]
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%% Exercise 3.2
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for u = 1:10
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A = [1 0; 0 u];
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xs = -10:1:10;
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ys = xs;
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Z = zeros(size(xs, 2), size(ys, 2));
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for i = 1:size(xs, 2)
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for j = 1:size(ys, 2)
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vec = [xs(i); ys(j)];
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Z(i, j) = vec' * A * vec;
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end
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end
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if u <= 5
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fig = u;
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con = 5 + u;
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else
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fig = 10 + u - 5;
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con = 15 + u - 5;
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end
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subplot(4, 5, fig);
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h = surf(xs, ys, Z);
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set(h,'LineStyle','none');
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title(sprintf("Surf for u=%d", u));
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subplot(4, 5, con);
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contour(xs, ys, Z, 20);
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title(sprintf("Contour for u=%d", u));
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end
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