Course Solutions Uncategorized (Solved) : Exercise Learn Involved Determining Interpolating Cubic Spline Numerically Spline Stored E Q31249611 . . . .

(Solved) : Exercise Learn Involved Determining Interpolating Cubic Spline Numerically Spline Stored E Q31249611 . . . .

 

In this exercise, you will learn what is involved in determiningan interpolating cubic spline numerically, how this spline isstored, and how it is evaluated.

a) Write afunction [alpha,beta,M-cubic spline(nodes,values) in Matlab that computes the coefficients alpha, beta and M of the natural cubic spline associated with nodes nodes and values values. Use the backslash operator in Matlab to solve the system of linear equations defining the vector M. You may assume that the data has at least four nodes, so you do not have to treat special cases where the matrix M is not defined b) Apply the algorithm from 

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