The Least-Squares Property of the Lanczos Derivative

DOI10.2307/30044192zbMath1086.65015OpenAlexW2056658628MaRDI QIDQ3369904

Russell A. Gordon, Nathanial Burch, Paul E. Fishback

Publication date: 6 February 2006

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/30044192

zbMATH Keywords

least squares methodcovarianceregressiongeneralized derivativeLanczos derivativecorrelation of two random variables

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical differentiation (65D25) Analysis of variance and covariance (ANOVA) (62J10) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (7)

Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications ⋮ Least squares and approximate differentiation ⋮ Differentiation by integration using orthogonal polynomials, a survey ⋮ Discrete Lanczos derivatives of noisy data ⋮ Maximal generalization of Lanczos' derivative using one-dimensional integrals ⋮ Finite Differences in Forward and Inverse Imaging Problems: MaxPol Design ⋮ HIGHER ACCURACY ORDER IN DIFFERENTIATION-BY-INTEGRATION

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