Rational interpolation via orthogonal plynomials
The author investigates the relations between rational interpolants and Hankel matrices. A modification of a Jacobi-like algorithm for rational interpolation is developed. The proposed algorithm eliminates all the auxiliary assumptions required to implement the previous algorithm. In this way, it can be used to construct all existing rational interpolants with the cost of \(O(n^ 2)\) arithmetic operations where \(n+1\) is the number of data points.
scientific article; zbMATH DE number 474522