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Local properties of continued fractions

Continued Fractions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1237)

Keywords

  • Truncation Error
  • Limit Region
  • Continue Fraction
  • Convergence Region
  • Convergence Acceleration

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References

  1. Atkinson, F. V., A value-region problem occuring in the theory of continued fractions, MRC Technical Summary Report # 419, December 1963, Madison, Wisconsin.

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  4. Jacobsen, L., Convergence acceleration for continued fractions K(an/1), Transactions of the American Mathematical Society, Vol. 275, Number 1, January 1983.

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  8. Jones, W. B. and Thron, W. J., Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley, Reading, Mass., 1980.

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  9. Rye, E. and Waadeland, H., Reflections on value regions, limit regions and truncation errors for continued fractions, Numerische Mathematik. To appear.

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  11. Thron, W. J. and Waadeland, H., Truncation error bounds for limit periodic continued fractions, Mathematics of Computation, Volume 40, Number 162, April 1983, pp. 589–597.

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  12. Waadeland, H., A note on partial derivatives of continued fractions, Lecture Notes in Mathematics, Springer-Verlag. To appear.

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© 1987 Springer-Verlag

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Waadeland, H. (1987). Local properties of continued fractions. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072468

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  • DOI: https://doi.org/10.1007/BFb0072468

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

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