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Volumn , Issue , 2009, Pages 155-160

On the computation of correctly-rounded sums

Author keywords

2Sum and Fast2Sum algorithms; Correct rounding; Floating point arithmetic; Summation algorithms

Indexed keywords

2SUM AND FAST2SUM ALGORITHMS; BASIC BLOCKS; CORRECT ROUNDING; DEPENDENCY GRAPHS; FLOATING POINT NUMBERS; FLOATING-POINT ARITHMETIC; FLOATING-POINT SUMMATION; NEW RESULTS; SUMMATION ALGORITHMS;

EID: 70350769232     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ARITH.2009.16     Document Type: Conference Paper
Times cited : (9)

References (14)
  • 3
    • 40949118542 scopus 로고    scopus 로고
    • Emulation of a FMA and correctly-rounded sums: Proved algorithms using rounding to odd
    • Apr
    • S. Boldo and G. Melquiond. Emulation of a FMA and correctly-rounded sums: proved algorithms using rounding to odd. IEEE Transactions on Computers, 57(4), Apr. 2008.
    • (2008) IEEE Transactions on Computers , vol.57 , pp. 4
    • Boldo, S.1    Melquiond, G.2
  • 5
    • 0000810983 scopus 로고
    • A floating-point technique for extending the available precision
    • T. J. Dekker. A floating-point technique for extending the available precision. Numerische Mathematik, 18:224-242, 3 1971.
    • (1971) Numerische Mathematik , vol.18 , Issue.224-242 , pp. 3
    • Dekker, T.J.1
  • 7
    • 85096105190 scopus 로고    scopus 로고
    • IEEE Computer Society, Aug
    • IEEE Computer Society. IEEE Standard for Floating-Point Arithmetic. IEEE Standard 754-2008, Aug. 2008. Available at http://ieeexplore.ieee.org/servlet/ opac?punumber=4610933.
    • (2008) IEEE Standard for Floating-Point Arithmetic. IEEE Standard , pp. 754-2008
  • 8
    • 0003657590 scopus 로고    scopus 로고
    • 3rd edition, volume 2. Addison-Wesley, Reading, MA
    • D. Knuth. The Art of Computer Programming, 3rd edition, volume 2. Addison-Wesley, Reading, MA, 1998.
    • (1998) The Art of Computer Programming
    • Knuth, D.1
  • 9
    • 0002811620 scopus 로고
    • Quasi double-precision in floating-point addition
    • O. Møller. Quasi double-precision in floating-point addition. BIT, 5:37-50, 1965.
    • (1965) BIT , vol.5 , pp. 37-50
    • Møller, O.1
  • 10
    • 44249093716 scopus 로고    scopus 로고
    • The pitfalls of verifying floating-point computations
    • D. Monniaux. The pitfalls of verifying floating-point computations. ACM TOPLAS, 30(3):1-41, 2008. Available at http://hal.archives-ouvertes.fr/hal- 00128124.
    • (2008) ACM TOPLAS , vol.30 , Issue.3 , pp. 1-41
    • D. Monniaux1
  • 12
    • 0012031370 scopus 로고
    • Correction d'une somme en arithmétique à virgule flottante (in French)
    • M. Pichat. Correction d'une somme en arithmétique à virgule flottante (in French). Numerische Mathematik, 19:400-406, 1972.
    • (1972) Numerische Mathematik , vol.19 , pp. 400-406
    • Pichat, M.1
  • 14
    • 0031518093 scopus 로고    scopus 로고
    • Adaptive precision floating-point arithmetic and fast robust geometric predicates
    • J. R. Shewchuk. Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates. Discrete Computational Geometry, 18:305-363, 1997.
    • (1997) Discrete Computational Geometry , vol.18 , pp. 305-363
    • Shewchuk, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.