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Confluent Vandermonde matrices, divided differences, and Lagrange-Hermite interpolation over quaternions (1505.03574v1)
Published 13 May 2015 in math.RA
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.