Rational approximations with real poles to \(\exp(-x)\) and \(x^ n\)

DOI10.1016/0021-9045(83)90134-XzbMath0519.41019MaRDI QIDQ1054926

Peter B. Borwein

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

exponential functionbest uniform rational approximationreal poles

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (2)

Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators ⋮ Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

Cites Work

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• On certain problems of Chebyshev, Zolotarev, Bernstein and Akhieser
• Approximations by rational functions with positive coefficients
• Approximation of exp(-x) by rational functions with concentrated negative poles
• Geometric convergence to \(e^{-z}\) by rational functions with real poles
• Uniform approximation with rational functions having negative poles
• Nonuniqueness of best approximating complex rational functions
• Attainable order of rational approximations to the exponential function with only real poles
• Rational exponential approximation with real poles
• Rational approximation to \(x^n\)

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