Error Bounds of Continued Fractions for Complex Transport Coefficients and Spectral Functions
Open Access
- 1 November 1978
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 33 (11) , 1380-1382
- https://doi.org/10.1515/zna-1978-1117
Abstract
We study the calculation of complex transport coefficients x (ω) and power spectra in terms of complex continued fractions. In particular, we establish classes of dynamical equilibrium and non-equilibrium systems for which we can obtain a posteriori bounds for the truncation error | x (ω) - x(n)(ω)| ≦ c (ω) | x(n)(ω) - x(n-1)(ω)| when the transport coefficient is approximated by its n-th continued fraction approximant x(n)(ω).Keywords
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