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math.NA2025
Constructing Sobolev orthonormal rational functions via an updating procedure
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this paper, we generate the recursion coefficients for rational functions with prescribed poles that are orthonormal with respect to a continuous Sobolev inner product. Using a…
math.NA2024
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…