 # Numerical Analysis Questions

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4.

a.
function weights = barywghts(x)
X = repmat(x(:), [1 numel(x)]);
xi = reshape(X(~eye(size(X))),size(X,1),size(X,2)-1);
xj = X(:,1:end-1);
weights = 1./prod(xj - xi, 2);
end

b.
function p = baryinterp(x,f,t)
x = x(:);
t = t(:);
f = f(:);

m = numel(t);
w = barywghts(x);
p = zeros(size(t));

for i=1:m
interpPt = t(i) == x;
if any(interpPt)
temp = f(interpPt);
p(i) = temp(1);
else
deno = sum(w./(t(i)-x),1);
nume = sum((w.*f)./(t(i)-x),1);
p(i) = nume/deno;
end
end
end...
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