5 papers · 1 filter
Updating and Downdating the Recurrences of Discrete Multiple Orthogonal Polynomials on the Real Line
Amin Faghih, Marc Van Barel, Raf Vandebril
We study multiple orthogonal polynomials with orthogonality defined by multiple positive discrete measures on the real line. Focusing on type~I and type~II multiple orthogonal poly…
An Arnoldi-based approach to polynomial and rational least squares problems
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational least squares problems. Although the increase in the approximation degree allows us to fit…
Generalized cyclic symmetric decompositions for the matrix multiplication tensor
Charlotte Vermeylen, Marc Van Barel
A new generalized cyclic symmetric structure in the factor matrices of polyadic decompositions of matrix multiplication tensors for non-square matrix multiplication is proposed to…
Stability Improvements for Fast Matrix Multiplication
Charlotte Vermeylen, Marc Van Barel
We implement an Augmented Lagrangian method to minimize a constrained least-squares cost function designed to find polyadic decompositions of the matrix multiplication tensor. We u…
A generalization of Floater--Hormann interpolants
Woula Themistoclakis, Marc Van Barel
In this paper the interpolating rational functions introduced by Floater and Hormann are generalized leading to a whole new family of rational functions depending on , an additi…