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.
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Roberts, D.E. Vector-valued rational forms. Found Phys 23, 1521–1533 (1993). https://doi.org/10.1007/BF01243944
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DOI: https://doi.org/10.1007/BF01243944