Part III. Invited Papers Dedicated To David Hestenes

Foundations of Physics

, Volume 23, Issue 11, pp 1521-1533

First online:

Vector-valued rational forms

  • D. E. RobertsAffiliated withMathematics Department, Napier University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We define rational Hermite interpolants to vector-valued functions and show that, in the context of Clifford algebras, the numerator and denominator polynomials belong to a complex extension of the Lipschitz group. We also discuss the problem of constructing an algebraic representation for the generalized inverse of a vector, which is at the heart of the usual development of vector rational approximation.