Divided Differences of Implicit Functions

Details Divided Differences of Implicit Functions Divided Differences of Implicit Functions

2012-02-24

arxiv.org/abs/1202.5443v1

G. Muntingh, M. Floater. Divided Differences of Implicit Functions. Mathematics of Computation, Volume 80, Number 276, October

Mathematics

Numerical Analysis

Scientific paper

10.1090/S0025-5718-2011-02486-5

Under general conditions, the equation $g(x,y) = 0$ implicitly defines $y$
locally as a function of $x$. In this article, we express divided differences
of $y$ in terms of bivariate divided differences of $g$, generalizing a recent
result on divided differences of inverse functions.

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