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Volumn 2, Issue , 2006, Pages 1323-1327

Improving the compensated Horner scheme with a Fused Multiply and Add

Author keywords

Error free transformations; Fused Multiply and Add; Horner scheme; IEEE 754 floating point arithmetic; Polynomial evaluation

Indexed keywords

ALGORITHMS; MICROPROCESSOR CHIPS; OPTIMIZATION; POLYNOMIALS;

EID: 33751031356     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1141277.1141585     Document Type: Conference Paper
Times cited : (7)

References (13)
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  • 3
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  • 4
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    • Compensated Horner scheme
    • Research Report 4, Equipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, July. Submitted to
    • S. Graillat, P. Langlois, and N. Louvet. Compensated Horner scheme. Research Report 4, Equipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, July 2005. Submitted to SIAM J. Sci. Comput.
    • (2005) SIAM J. Sci. Comput.
    • Graillat, S.1    Langlois, P.2    Louvet, N.3
  • 5
    • 33751068456 scopus 로고    scopus 로고
    • Research Report 5, Équipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, Nov.
    • S. Graillat, P. Langlois, and N. Louvet. Improving the compensated Horner scheme with a fused multiply and add. Research Report 5, Équipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, Nov. 2005.
    • (2005) Improving the Compensated Horner Scheme with a Fused Multiply and Add
    • Graillat, S.1    Langlois, P.2    Louvet, N.3
  • 6
    • 0034859064 scopus 로고    scopus 로고
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    • Y. Hida, X. S. Li, and D. H. Bailey. Algorithms for quad-double precision floating point arithmetic. In N. Burgess and L. Ciminiera, editors, Proceedings of the 15th Symposium on Computer Arithmetic, Vail, Colorado, pages 155-162, Los Alamitos, CA, USA, 2001. Institute of Electrical and Electronics Engineers.
    • (2001) Proceedings of the 15th Symposium on Computer Arithmetic, Vail, Colorado , pp. 155-162
    • Hida, Y.1    Li, X.S.2    Bailey, D.H.3
  • 7
    • 0036457301 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition
    • N. J. Higham. Accuracy and Stability of Numerical Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition, 2002.
    • (2002) Accuracy and Stability of Numerical Algorithms
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    • Reprinted in
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    • The MPFR library. Available at http://www.mpfr.org.
  • 12
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    • Scalar fused multiply-add instructions produce floating-point matrix arithmetic provably accurate to the penultimate digit
    • Y. Nievergelt. Scalar fused multiply-add instructions produce floating-point matrix arithmetic provably accurate to the penultimate digit. ACM Trans. Math. Software, 29(1):27-48, 2003.
    • (2003) ACM Trans. Math. Software , vol.29 , Issue.1 , pp. 27-48
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  • 13
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.