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Cubic polynomial interpolation

1. a) Consider the problem of cubic polynomial interpolation

p(xi) = yi, I = 0,1,23

with deg(p) ≤ 3 and x0, x1, x2, x3 distinct. Convert the problem of finding p(x) to another problem involving the solution of a system of linear equations.

b) Express the system from (a) in the form Ax = b, identify the matrix A and the vectors b and x.


Solution Summary

This converts cubic polynomial interpolation to a system of linear equations and shows how to identify the matrix and vectors.