Geometric convergence to \(e^{-z}\) by rational functions with real poles

DOI10.1007/BF01399420zbMath0307.65025OpenAlexW4238801178MaRDI QIDQ1218248

Richard S. Varga, Arnold Schönhage, Edward B. Saff

Publication date: 1976

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132384

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Algorithms for approximation of functions (65D15)

Related Items

Padé-type approximants of entire functions and acceleration of convergence: Two examples, ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES], Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem, Continuity of best reciprocal polynomial approximation on [0,infinity], Approximation of exp(-x) by rational functions with concentrated negative poles, Matrices, moments, and rational quadrature, Rational exponential approximation with real poles, Inexact rational Krylov method for evolution equations, Approximation with reciprocals of polynomials on compact sets, Recent advances in Chebyshev rational approximation on finite and infinite intervals, Uniform approximation with rational functions having negative poles, Rational approximation to formal power series, Padé-type approximants of \(\exp(-z)\) whose denominators are \((1+z/n)^ n\), Rational approximations with real poles to \(\exp(-x)\) and \(x^ n\), Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

Cites Work

• Unnamed Item
• Geometric convergence of rational approximations to \(e^{-z}\) in infinite sectors
• Zur rationalen Approximierbarkeit von \(e^{-x}\) über \([0, \infty)\)
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• Convergence Properties of Padé Approximants to exp (z) and Their Derivatives
• Rational approximation to \(e^{-x}\)