Rational interpolation via orthogonal polynomials

Luca Gemignani
1993 Computers and Mathematics with Applications  
Relations between rational interpolants and Hankel matrices are investigated. A modification of a Jacobi-like algorithm for rational interpolation proposed in [l] is developed. The proposed algorithm eliminates all the auxiliary assumptions required to implement the algorithm of [l] . In this way, it can be used to construct all existing rational interpolants with the cost of 0(N2) arithmetic operations where N + 1 is the number of data points.
doi:10.1016/0898-1221(93)90070-c fatcat:4nbai3tylvd7jpxgtbpdfqtqtq