GRPIA: a new algorithm for computing interpolation polynomials

Let x 0 , x 1 , ⋯ , x n , be a set of n + 1 distinct real numbers (i.e., x m ≠ x j , for m ≠ j ) and let y m , k , for m = 0, 1, ⋯ , n , and k = 0, 1, ⋯ , r m , with r m ∈ I N , be given real numbers. It is known that there exists a unique polynomial p N − 1 of degree N − 1 with N = ∑ m = 0 n ( r m...

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