Displaying similar documents to “Truncation Error Bounds for Limit-Periodic Continued Fractions K(an/1) With lim an = 0.”

Optimization of Rational Approximations by Continued Fractions

Blomquist, Frithjof (2007)

Serdica Journal of Computing

Similarity:

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...