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Accurate and Reliable Computing in Floating-Point Arithmetic

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Book cover Mathematical Software – ICMS 2010 (ICMS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6327))

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Abstract

Methods will be discussed on how to compute accurate and reliable results in pure floating-point arithmetic. In particular, verification methods with INTLAB and error-free transformations will be presented in some detail.

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References

  1. Bornemann, F., Laurie, D., Wagon, S., Waldvogel, J.: The SIAM 100-Digit Challenge—A Study in High-Accuracy Numerical Computing. SIAM, Philadelphia (2004)

    MATH  Google Scholar 

  2. ANSI/IEEE 754-2008: IEEE Standard for Floating-Point Arithmetic, New York (2008)

    Google Scholar 

  3. Rump, S.M.: Fast and parallel interval arithmetic. BIT Numerical Mathematics 39(3), 539–560 (1999)

    Article  MathSciNet  Google Scholar 

  4. Rump, S.M.: INTLAB - INTerval LABoratory. In: Csendes, T. (ed.) Developments in Reliable Computing, pp. 77–104. Kluwer Academic Publishers, Dordrecht (1999)

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  5. Rump, S.M.: Verification methods: Rigorous results using floating-point arithmetic. Acta Numerica, 287–449 (2010)

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  6. Sahinidis, N.V., Tawaralani, M.: A polyhedral branch-and-cut approach to global optimization. Math. Programming B103, 225–249 (2005)

    Article  MATH  Google Scholar 

  7. Trefethen, L.N.: The SIAM 100-Dollar, 100-Digit Challenge. SIAM-NEWS 35(6), 2 (2002), http://www.siam.org/siamnews/06-02/challengedigits.pdf

    Google Scholar 

  8. Tucker, W.: The Lorenz attractor exists. C. R. Acad. Sci., Paris, Sér. I, Math. 328(12), 1197–1202 (1999)

    MATH  Google Scholar 

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Rump, S.M. (2010). Accurate and Reliable Computing in Floating-Point Arithmetic. In: Fukuda, K., Hoeven, J.v.d., Joswig, M., Takayama, N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15582-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-15582-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15581-9

  • Online ISBN: 978-3-642-15582-6

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