📄 e441.m
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%----------------------------------------------------------------------
% Example 4.4.1 Polynomial Fit
%----------------------------------------------------------------------
% Initialize
clc
clear
n = 9;
m = 10*n;
d = 4;
x = linspace (-d,d,n)';
y = zeros(n,1);
X = zeros (m,2);
Y = zeros (m,2);
% Find fit and plot
fprintf ('Example 4.4.1: Polynomial Fit\n');
for i = 1 : n
y(i) = 1/(1 + x(i)^2);
end
show ('x',x)
show ('y',y)
a = polyfit (x,y,n-1);
X(:,1) = linspace (x(1),x(n),m)';
Y(:,1) = polyval (a,X(:,1));
for i = 1 : m
j = min (i,n);
X(i,2) = x(j);
Y(i,2) = y(j);
end
graphxy (X,Y,'Polynomial Fit','x','y','s')
%----------------------------------------------------------------------
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