Two chain rules for divided differences and Faà di Bruno’s formula

Two chain rules for divided differences and Faà di Bruno’s formula (0)

by Michael S Floater, Tom Lyche

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Math. Comp

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Divided differences of inverse functions and partitions of a convex polygon

by Michael S. Floater, Tom Lyche

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DIVIDED DIFFERENCES OF IMPLICIT FUNCTIONS

by Georg Muntingh, Michael Floater

"... Abstract. 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. 1. ..."

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Abstract. 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. 1.