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math.NA2026
Matrix algebras with orthogonal Cauchy-like transforms and Toeplitz approximation: a negative result
Dario Fasino, Davide Furchì, Valerio Loi +1
We consider newly designed matrix algebras associated with Cauchy orthogonal transforms. In this work, we are interested in checking the approximation of Toeplitz matrices using al…
math.NA2026
Lagrange interpolation processes based on the zeros of anti-Gauss Jacobi polynomials
Patricia Díaz de Alba, Luisa Fermo, Valerio Loi +1
This paper introduces and investigates a new Lagrange interpolation process based on the zeros of anti-Gauss Jacobi polynomials. Fundamental properties of anti-Gauss nodes, includi…
math.NA2026
Anti-Gauss Lagrange interpolation: Christoffel-Darboux form, barycentric representation, and orthogonal expansion
Patricia Díaz de Alba, Luisa Fermo, Valerio Loi
The paper deals with new formulations of a Lagrange interpolant polynomial based on the nodes of the well-known anti-Gauss rule. A first representation is given in terms of the cla…