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

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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.