Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
The f(4) using is found using newton's interpolating polynomials of order 4.
function y=CL10_Exercise(part)
%% Input
% part: string for part a,b,c,d
%
%% Output
% y value of the underlying function at x=4
%
%% Write your code here
X=[1,2,3,5,6];
Y=[15,8,5.5,30,52];
x=4;
y=1;
switch part
case 'a'
%% Newton interpolation (Order 4)
a=X;
b=Y;
%x=input('Enter x: ');
[m,n]=size(a);
fx=0;
for i=1:n
%_____________Calculating Dividing Difference_____________________
s=0;
for j=1:i
p=1;
for k=1:i %Denominator part product
if(k~=j)
p=p*(a(j)-a(k));
end
end
s=s+b(j)/p; %summation f(x)/product
end
%_________________________________________________________________
p=1;
for j=1:i-1 %coefficient part of f[...]
p=p.*(x-a(j));
end
fx=fx+s.*p; %Polynomial!
end
y=fx;
case 'b'
%% not-a-knot spline
case 'c'
%% clamped spline
case 'd'
%% Hermite spline
end
end
Hence, the f(4) using is found using newton's interpolating polynomials of order 4.
To learn more about interpolation click here:
brainly.com/question/18768845
#SPJ4
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
