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Some Applications of Extended Interval Arithmetic to Interval Iterations

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Part of the book series: Computing Supplementum ((COMPUTING,volume 2))

Abstract

The calculation of united extensions of real functions of one variable by means of primitive interval Operations is considered. It is demonstrated that extended interval arithmetic is a convenient tool for treating this problem. Some direct applications of the results obtained to interval iteration procedures are given.

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References

  1. Alefeld, G., Herzberger, J.: Einführung in die Intervallrechnung. Mannheim: Bibliographisches Institut 1974.

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© 1980 Springer-Verlag

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Markov, S.M. (1980). Some Applications of Extended Interval Arithmetic to Interval Iterations. In: Alefeld, G., Grigorieff, R.D. (eds) Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis). Computing Supplementum, vol 2. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8577-3_5

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  • DOI: https://doi.org/10.1007/978-3-7091-8577-3_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81566-3

  • Online ISBN: 978-3-7091-8577-3

  • eBook Packages: Springer Book Archive

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