Vector-valued rational forms
- Cite this article as:
- Roberts, D.E. Found Phys (1993) 23: 1521. doi:10.1007/BF01243944
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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.