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24 lines
660 B
Matlab
24 lines
660 B
Matlab
% [USES] ad-hoc/plotCircle
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function plotGershgorin(A)
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% A must be a square matrix
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n = length(A);
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figure
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for i = 1 : n
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sum_of_line = sum(abs(A(i, :))) - abs(A(i, i));
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left = -sum_of_line + A(i, i);
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right = sum_of_line + A(i, i);
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% calculate the center of the i-th circle on the x-axis
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middle = (left + right) / 2;
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% calculate the radius
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radius = (right - left) / 2;
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% plot the circle
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plotCircle(middle, 0, radius);
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endfor
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% plot the eigenvalues for proof of concept
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hold on
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plot(real(eig(A)), imag(eig(A)), 'x', 'markersize', 15)
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hold off
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endfunction
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