Divided differences of inverse functions and partitions of a convex polygon

DOI10.1090/S0025-5718-08-02144-3zbMath1198.05012OpenAlexW2053290854MaRDI QIDQ3055071

Tom Lyche, Michael S. Floater

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02144-3

zbMATH Keywords

divided differencesinverse functionspolygon partitions

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) One-variable calculus (26A06)

Related Items (6)

A simple algorithm for the fast calculation of higher order derivatives of the inverse function ⋮ A chain rule for multivariate divided differences ⋮ Divided differences of multivariate implicit functions ⋮ A method to accelerate the convergence of the secant algorithm ⋮ Divided differences of implicit functions ⋮ The antipode of the noncrossing partition lattice

Cites Work

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• Ordered trees and non-crossing partitions
• Polygon dissections and Euler, Fuss, Kirkman, and Cayley numbers
• Noncrossing partitions
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Two chain rules for divided differences and Faà di Bruno’s formula
• The Curious History of Faa di Bruno's Formula
• Combinatorics of Higher Derivatives of Inverses
• Symbolic computation of divided differences

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