34 lines
638 B
Matlab
34 lines
638 B
Matlab
function [a, b, k] = min_bisection(fun_expression, alpha, beta, epsilon, lambda)
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%
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% Detailed explanation goes here
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%
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%
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% Error checking
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if 2*epsilon >= lambda || lambda <= 0
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error ('Convergence criteria not met')
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end
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% Init
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a = alpha;
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b = beta;
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fun = matlabFunction(fun_expression);
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k=1;
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while b(k) - a(k) > lambda
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% bisect [a,b]
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mid = (a(k) + b(k)) / 2;
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x_1 = mid - epsilon;
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x_2 = mid + epsilon;
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% set new search interval
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k = k + 1;
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if fun(x_1) < fun(x_2)
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a(k) = a(k-1);
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b(k) = x_2;
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else
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a(k) = x_1;
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b(k) = b(k-1);
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end
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end |