New algorithm for computing the Hermite interpolation polynomial

Let x 0 , x 1 ,⋯ , x n , be a set of n + 1 distinct real numbers (i.e., x i ≠ x j , for i ≠ j ) and y i , k , for i = 0,1,⋯ , n , and k = 0 ,1 ,⋯ , n i , with n i ≥ 1, be given of real numbers, we know that there exists a unique polynomial p N − 1 ( x ) of degree N − 1 where N = ∑ i = 0 n ( n i + 1...

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