Question

IN MATLAB

Write a MATLAB function that can be used by a user to perform polynomial interpolation using Lagrange Interpolation Method on a set of data. You should name your function as YourInitials_Lagrange_interpolation. 1. FUNCTION INPUT: . The input data pairs x and f(x) should be expressed as vectors and are used to construct the interpolation polynomials The interpolating data points/value The order of interpolating polynomials to be used. For this project you code should handle first order, second order or third order polynomial interpolations 2. FUNCTION OUTPUT: The interpolated result. .

Answer 1

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Result of the command window >> % I have taken the examples from wiki and displaying you the result% >> t=[1 2 3]; >> y=[1 4 9); >> Lagrange (t, y,4) The value at a data point of a interpolated polynomial is a= 16 The interpolated polynomial is ans = x 2 >> t=[1 2 3]; >y Il 8 27 >Lagrange (t,Y,4) The value at a data point of a interpolated polynomial is a= 58 The interpolated polynomial is ans 6 x2 11x6 If no data point is to be evaluated and only you require the polynomial then

Lagrange.m Command Window >> 훰 I have taken the examples from wiki and displaying you the result >>t=[1 2 3]; >> y=[1 4 9); >Lagrange (t,y) The interpolated polynomial is ans xA2 >t l 2 31: >> y=[1 8 27); >>Lagrange (t,y) The interpolated polynomial is 兵>> Wiki example

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