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Solving systems of linear interval equations using the "interval extended zero" method and multimedia extensions

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EN
Abstrakty
EN
The aim of this paper is to present the implementation of the method for solving linear interval equations using the "interval extended zero" method and multimedia extensions. The "interval extended zero" method allows us to reduce the undesirable excess width effect. Its efficiency was proven before and here we show that it can be used to perform fast calculations using multimedia extensions. Some numerical examples are used to illustrate the efficiency of our implementation in comparison with several numerical libraries for interval arithmetic.
Rocznik
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203--212
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Bibliogr. 22 poz., tab.
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Bibliografia
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  • [13] Dymova L., Sevastjanov P., A new method for solving interval and fuzzy equations: linear case, Information Sciences 2009, 17, 925-937.
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  • [17] Wolff von Gudenberg J., Interval Arithmetic on Multimedia Architectures, RR 265, Lehrstuhl fur Informatik II. Universitat Wurzburg, October 2000.
  • [18] Lambov B., Interval Arithmetic using SSE 2, Lecture Notes in Computer Science 2008, 5045, 102-113.
  • [19] Goualard F., Fast and Correct SIMD Algorithms for Interval Arithmetic, INRIA, 2008, http://hal.archives-ouvertes.fr/docs/00/28/84/56/PDF/intervals-sse2-long-paper.pdf
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  • [21] Knuppel O., Profil/BIAS v2.0, http://www.ti3.tu-harburg.de/keil/profil/Profil2.ps.gz
  • [22] Boost Interval Arithmetic Library, http://www.boost.org/doc/libs/1_43_0/libs/numeric/interval/doc/interval.htm
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0003-0043
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