Course Solutions Uncategorized (Solved) : Exercise Learn Involved Determining Interpolation Polynomial Numerically Polynomial Stored Q31249596 . . . .

(Solved) : Exercise Learn Involved Determining Interpolation Polynomial Numerically Polynomial Stored Q31249596 . . . .

 

In this exercise, you will learn what is involved in determiningthe interpolation polynomial numerically, how this polynomial isstored, and how it is evaluated.

a) Write a function S-divided_differences (nodes,values) in Mat- lab that computes the lower triangular matrix S of divided differences associated with nodes nodes and values values b) Apply the algorithm from task a) to the data nodes-[0,1,2,3,4] and values-[1,0,2,1,3] c) Write a function c-Newton_coefficients (nodes,values) in Mat- lab that computes the vector c of coefficients of the interpolation poly- nomial associated with nodes nodes and values values in Newton form. d) Apply the algorithm from task c) 

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