📄 showint.m
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% Script showint.m
% Plot of the function 1/(1 + x^2) and its
% interpolating polynomial of degree n.
m = input('Enter number of interpolating polynomials ');
for k=1:m
n = input('Enter degree of the interpolating polynomial ');
hold on
x = linspace(-5,5,n+1);
y = 1./(1 + x.*x);
z = linspace(-5.5,5.5);
t = 1./(1 + z.^2);
h1_line = plot(z,t,'-.');
set(h1_line, 'LineWidth',1.25)
t = Newtonpol(x,y,z);
h2_line = plot(z,t,'r');
set(h2_line,'LineWidth',1.3,'Color',[0 0 0])
axis([-5.5 5.5 -.5 1])
title(sprintf('Example of divergence (n = %2.0f)',n))
xlabel('x')
ylabel('y')
legend('y = 1/(1+x^2)','interpolant')
hold off
end
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