Évènements du vendredi 14 juin
Abderrahim Messaoudi (Université Mohammed V - Maroc)
Informations : 10:00 - 11:00 B014
Recently Messaoudi et al. presented a new algorithm for computing the Hermite interpolation algorithm, for a general case, called Generalized Recursive Polynomial Interpolation Algorithm (GRPIA). In this work we will give a new formulation of the Lagrange twovariate polynomial interpolation, a result of the existence and the uniqueness of this polynomial will be given. We will show that this polynomial can be expressed as a Schur complement . So using the Sylvester’s identity, we will give a new algorithm for computing this polynomial. Some properties of this algorithm will also be discussed and a generalization of this algorithm will be proposed for the Lagrange multivariate-interpolation polynomial.
Hassane Sadok (LMPA - ULCO)
Informations : 11:00 - 12:00 B014
By using a recursive method for computing a left inverse of a Krylov matrix we derive a general algorithm for the subspaces Krylov methods. This technique allows us to give all the parameters of the algorithms from the Krylov vectors. In particulier we give the condition of the existence of the algorithms based on these vectors.