On a linear interpolation problem for n-dimensional vector polynomials
Classical Analysis and ODEs
2015-06-24 v2
Abstract
This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n scalar polynomials such that an equation involving a linear combination of them is satisfied for each one of the N interpolation nodes. The results of this work generalize previous results on the so-called rational interpolation and have applications to direct and inverse spectral analysis of band matrices.
Cite
@article{arxiv.1401.5384,
title = {On a linear interpolation problem for n-dimensional vector polynomials},
author = {Mikhail Kudryavtsev and Sergio Palafox and Luis O. Silva},
journal= {arXiv preprint arXiv:1401.5384},
year = {2015}
}
Comments
21 pages, no figures. Typographical errors corrected. References added