Question

in put and output done in computer please

Use MATLAB or Scilab to solve the following problems 1. Create a MATLAB subroutine called Lagrange.m that receives two set data points, x and y and plots the curve by interpolating the missing points (h=x-X.1) using Lagrange interpolation form.

Answer 1

Hi,

Answer:

Matlab Description:
As we know that the Matlab is the fourth-generation programming language that can be used for the analysis of the environment numerically.
Using the Matlab involves many algorithms that can create an interface and visualize the data.

Lagrange Interpolation Form Description:
In the numerical analysis, the Lagrange interpolation form will be used for the polynomial.
Suppose we have a point whose values are not equal then the Lagrange polynomial will be used because it can be determined the lowest degree as compared to the current value.

Matlab Code:

func y=LagPol(x,x1,y1)

N=size(x1,2);

Lag=ones(N,size(x,2));

for a=1:N

for b=1:N

if(a~=b)

Lag(a,:)=Lag(b,:).*(x-point(b))/(x1(a)-point(b));

end

end

end

y=0;

for a=1:N

y=y+y1(a) *Lag(a,:);

end

end