GRPIA swMATH ID: 27311 Software Authors: Messaoudi, Abderrahim; Errachid, Mohammed; Jbilou, Khalide; Sadok, Hassane Description: GRPIA: a new algorithm for computing interpolation polynomials. .. In this paper, we will give a new formulation of the Hermite polynomial interpolation problem and derive a new algorithm, called the Generalized Recursive Polynomial Interpolation Algorithm (GRPIA), for computing the Hermite polynomial interpolation in the general case. A new result of the existence of the polynomial pN− 1 will also be established, cost and storage of this algorithm will also be studied, and some examples will be given. Homepage: https://link.springer.com/article/10.1007%2Fs11075-018-0543-x Keywords: Schur complement; Sylvester’s identity; polynomial interpolation; general Hermite polynomial interpolation; recursive polynomial interpolation algorithm; matrix recursive polynomial interpolation algorithm Related Software: RMVPIA; ALGOL 60; EPSfun; Anderson; SQUAREM; Matlab; Maple Cited in: 5 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year GRPIA: a new algorithm for computing interpolation polynomials. Zbl 1477.65029Messaoudi, Abderrahim; Errachid, Mohammed; Jbilou, Khalide; Sadok, Hassane 2019 all top 5 Cited by 8 Authors 3 Errachid, Mohammed 3 Messaoudi, Abderrahim 2 Essanhaji, A. 2 Sadok, Hassane 1 Brezinski, Claude 1 Jbilou, Khalide 1 Redivo-Zaglia, Michela 1 Sadaka, Rachid Cited in 3 Serials 3 Numerical Algorithms 1 Journal of Computational and Applied Mathematics 1 Journal of Applied Mathematics Cited in 2 Fields 5 Numerical analysis (65-XX) 3 Approximations and expansions (41-XX) Citations by Year