Abstract
Interval arithmetic is able to be applied in the case that we evaluate the ranges of polynomials. When we evaluate the ranges of polynomials by applying the interval arithmetic, the problem that interval widths of the ranges increase extremely exists. Horner’s method is widely known as the evaluating method which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the Horner’s method. And in this paper, we show and com pare the efficiencies of the each new method by the results of some numerical examples.
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References
Neumaier, A.: Interval methods for systems of equations. Cambrige University Press, Cambridge (1990)
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© 2004 Springer-Verlag Berlin Heidelberg
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Miyajima, S., Kashiwagi, M. (2004). On Range Evaluation of Polynomials by Applying Interval Arithmetic. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_28
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DOI: https://doi.org/10.1007/978-3-540-24588-9_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21090-0
Online ISBN: 978-3-540-24588-9
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