Confluent Vandermonde matrices, divided differences, and Lagrange-Hermite interpolation over quaternions
Rings and Algebras
2015-05-15 v1
Abstract
We introduce the notion of a confluent Vandermonde matrix with quaternion entries and discuss its connection with Lagrange-Hermite interpolation over quaternions. Further results include the formula for the rank of a confluent Vandermonde matrix, the representation formula for divided differences of quaternion polynomials and their extensions to the formal power series setting.
Cite
@article{arxiv.1505.03574,
title = {Confluent Vandermonde matrices, divided differences, and Lagrange-Hermite interpolation over quaternions},
author = {Vladimir Bolotnikov},
journal= {arXiv preprint arXiv:1505.03574},
year = {2015}
}