Lagrange Interpolating Polynomial Function

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Robin McManus
Robin McManus 2020-11-20
回答： Alan Stevens 2020-11-20
I'm trying to write MATLAB code that outputs a Lagrange Interpolating Polynomial. I'll include my code below, although its definitely not refined yet. I was planning on making an array of functions, but I just noticed that matlab doesn't accept functions in arrays. Is there a way around this?
x = [-1 2 3 5]
y = [0 1 1 2]
n = length(x)
f = @(x) x;
array = ones(1,(n-1));
for k = 0: n-1
for i = 0 : n-1
if i ~= k
array(k) = array(k) * (f(x)-x(i))/(x(k)-x(i))
end
end
end
array

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回答（1 个）

Alan Stevens
Alan Stevens 2020-11-20
Matlab indexing starts from 1 not zero. Also, in
array(k) = array(k) * (f(x)-x(i))/(x(k)-x(i))
you should have f(x(i)) not f(x).

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