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On the computation of Aden functions

Peter Maličký, Marianna Maličká (1991)

Applications of Mathematics

The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.

Optimization of Rational Approximations by Continued Fractions

Blomquist, Frithjof (2007)

Serdica Journal of Computing

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.To get guaranteed machine enclosures of a special function f(x), an upper bound ε(f) of the relative error is needed, where ε(f) itself depends on the error bounds ε(app); ε(eval) of the approximation and evaluation error respectively. The approximation function g(x) ≈ f(x) is a rational function (Remez algorithm), and with sufficiently high polynomial degrees ε(app) becomes...

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