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On Multivariate Interpolation

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A new approach to interpolation theory for functions of several variables is proposed. We develop a multivariate divided difference calculus based on the theory of noncommutative quasi-determinants. In addition, intriguing explicit formulae that connect the classical finite difference interpolation coefficients for univariate curves with multivariate interpolation coefficients for higher dimensional submanifolds are established.
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Document Type: Research Article

Affiliations: University of Minnesota

Publication date: February 1, 2006

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