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Volumn 7460 LNCS, Issue , 2012, Pages

A new abstract domain for the representation of mathematically equivalent expressions⋆

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL ARITHMETIC; ERRORS;

EID: 85047000353     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-33125-1_8     Document Type: Conference Paper
Times cited : (12)

References (19)
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  • 5
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    • Static Analysis-Based Validation of Floating-Point Computations
    • Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds.), Springer, Heidelberg
    • Putot, S., Goubault, É., Martel, M.: Static Analysis-Based Validation of Floating-Point Computations. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds.) Numerical Software with Result Verification. LNCS, vol. 2991, pp. 306–313. Springer, Heidelberg (2004)
    • (2004) Numerical Software with Result Verification. LNCS , vol.2991 , pp. 306-313
    • Putot, S.1    Goubault, É.2    Martel, M.3
  • 6
    • 79251592546 scopus 로고    scopus 로고
    • Static Analysis of Finite Precision Computations
    • Jhala, R., Schmidt, D. (eds.), Springer, Heidelberg
    • Goubault, E., Putot, S.: Static Analysis of Finite Precision Computations. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol. 6538, pp. 232–247. Springer, Heidelberg (2011)
    • (2011) VMCAI 2011. LNCS , vol.6538 , pp. 232-247
    • Goubault, E.1    Putot, S.2
  • 9
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    • Semantics of roundoff error propagation in finite precision calculations
    • Martel, M.: Semantics of roundoff error propagation in finite precision calculations. Journal of Higher Order and Symbolic Computation 19, 7–30 (2006)
    • (2006) Journal of Higher Order and Symbolic Computation , vol.19 , pp. 7-30
    • Martel, M.1
  • 10
    • 38149014708 scopus 로고    scopus 로고
    • Semantics-Based Transformation of Arithmetic Expressions
    • Riis Nielson, H., Filé, G. (eds.), Springer, Heidelberg
    • Martel, M.: Semantics-Based Transformation of Arithmetic Expressions. In: Riis Nielson, H., Filé, G. (eds.) SAS 2007. LNCS, vol. 4634, pp. 298–314. Springer, Heidelberg (2007)
    • (2007) SAS 2007. LNCS , vol.4634 , pp. 298-314
    • Martel, M.1
  • 11
    • 74549224380 scopus 로고    scopus 로고
    • Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics
    • Martel, M.: Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics. Journal of Formal Methods in System Design 35, 265–278 (2009)
    • (2009) Journal of Formal Methods in System Design , vol.35 , pp. 265-278
    • Martel, M.1
  • 13
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    • Efficient computation with structured matrices and arithmetic expressions
    • PhD thesis, November 2011
    • Mouilleron, C.: Efficient computation with structured matrices and arithmetic expressions. PhD thesis, Université de Lyon–ENS de Lyon (November 2011)
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    • Mouilleron, C.1
  • 14
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    • On the definition of ulp(x)
    • Technical Report 5504
    • Muller, J.-M.: On the definition of ulp(x). Technical Report 5504, INRIA (2005)
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    • Muller, J.-M.1
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    • Tate, R., Stepp, M., Tatlock, Z., Lerner, S.: Equality saturation: A new approach to optimization. In: POPL, pp. 264–276. ACM (2009)
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    • Zhu, Y.-K., Hayes, W.B.: Algorithm 908: Online exact summation of floating-point streams. Transactions on Mathematical Software 37(3), 1–13 (2010)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.