Iterative solution to achieve convergence
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Hello,
I would like to ask you to help me to correct this interative solution. I would like to achieve solution with precision with 3 decimal places. Unfortunately this does not work.
Best regards
Michal
tol = 3; % tolerance
for i = 1:1:10
f=i^2;
delta = tol-f;
j = i;
if abs(delta) >= 0.1;
for j = j-1:0.1:j;
f=j^2;
delta = tol-f;
k=j;
if abs(delta) >= 0.01;
end
end
end
end;
7 comentarios
Walter Roberson
el 18 de Mayo de 2022
There are a number of posts showing binary search, several with complete code.
Finding a target value f(x) = t is often rewritten as g(x) = f(x) - t, and at that point you are looking for a zero crossing for g(x). The place where g(x) is 0 is the place where f(x) is the target value. Use any convenient root finding techniques.
The kind of situation where you might use iteration is a case where you are required to find the smallest x>x0 such that f(x) = t, and you are given a minimum distance between matching values but there may be a large number of matches. Figuring out whether there are an even number of matches in an interval can be awkward.
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