On the condition number of Lagrangian numerical differentiation
type: Item
instance of: scholarly article
title: On the condition number of Lagrangian numerical differentiation
zbMATH Open document ID: 0602.65007
DOI: 10.1016/0096-3003(85)90031-1
author: Rose Mooney
author: George J. Miel
published in: Applied Mathematics and Computation
publication date: 1985-01-01T00:00:00Z
review text: An explicit formula for the optimal value of the condition number is obtained using \textit{T. J. Rivlin}'s results [SIAM J. Numer. Analysis 12, 712-725 (1975; Zbl 0322.65010)]. An algorithm, a corresponding FORTRAN implementation for computing derivatives of interpolating polynomials and a table for condition numbers are given.
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 3972058
zbMATH Keywords: Lagrangian numerical differentiation
zbMATH Keywords: condition number
zbMATH Keywords: algorithm
zbMATH Keywords: FORTRAN implementation
reviewed by: Antonio de Castro
describes a project that uses: Algorithm 413
MaRDI profile type: Publication
full work available at URL: 0096-3003(85)90031-1
OpenAlex ID: W1979437031
cites work: A New Method for Generating Power Series Expansions of Functions
cites work: Q3661894
cites work: Numerical differentiation procedures for non-exact data
cites work: Optimal Numerical Differentiation Using Three Function Evaluations
cites work: Q5180224
cites work: Numerical Differentiation and Regularization
cites work: Automatic Differentiation of Computer Programs
cites work: Q3251699
cites work: Numerical Differentiation of Analytic Functions
cites work: An algorithm for numerical differentiation of a function of one real variable
cites work: The Approximation of Linear Functionals and $h^2 $-Extrapolation
cites work: Q3881909
cites work: Optimally Stable Lagrangian Numerical Differentiation
cites work: Adaptive Numerical Differentiation
description: scientific article; zbMATH DE number 3972058