Least Squares Approximation of Completely Monotonic Functions by Sums of Exponentials

DOI10.1137/0716060zbMath0444.41012OpenAlexW2067526476MaRDI QIDQ3887902

David W. Kammler

Publication date: 1979

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0716060

zbMATH Keywords

sums of exponentialsmonosplinesnonlinear interpolationL2-approximation of completely monotonic functions

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Spline approximation (41A15) Approximation by other special function classes (41A30)

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A weak method in numerical identification ⋮ The \(n\)-fold convolution of generalized exponential-sum distribution functions ⋮ Constitutive fractional modeling ⋮ Computation of best \(L^{\infty }\) exponential sums for \(1 / x\) by Remez' algorithm ⋮ Chained aggregation model with minimum truncation error ⋮ A sufficient condition for the rapid convergence of differential approximation ⋮ A Kernel-Independent Sum-of-Gaussians Method by de la Vallee-Poussin Sums ⋮ Unnamed Item ⋮ Fitting distribution-like data to exponential sums with genetic algorithms ⋮ A review of the parameter estimation problem of fitting positive exponential sums to empirical data

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