Lagrangian interpolation:

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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using Algorithm

Lagrangian interpolation:
Ex/ Calculate y(4) from the following data:
3
1
7
13
y
2
5
12
20
In M-file with name
Lagrng":
function Lagrng(x,y,xx)
n=length(x);
sum = 0;
for i = 1:n
product=y(i);
for j=1:n
if i ~= j
product = product*(xx-x(j))/(x(i)-x(j));
end
end
sum=sum+product;
end
Lagrng=sum
In command window type:
x=[1 37 13];
y=[2 5 12 20];
Lagrng(x,y,4)
Answer
Lagrng =
6.6875
Transcribed Image Text:Lagrangian interpolation: Ex/ Calculate y(4) from the following data: 3 1 7 13 y 2 5 12 20 In M-file with name Lagrng": function Lagrng(x,y,xx) n=length(x); sum = 0; for i = 1:n product=y(i); for j=1:n if i ~= j product = product*(xx-x(j))/(x(i)-x(j)); end end sum=sum+product; end Lagrng=sum In command window type: x=[1 37 13]; y=[2 5 12 20]; Lagrng(x,y,4) Answer Lagrng = 6.6875
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