Abstract
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.
Original language | English (US) |
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Pages (from-to) | 201-240 |
Number of pages | 40 |
Journal | Studies in Applied Mathematics |
Volume | 116 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2006 |