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Volumn 17, Issue 1, 2007, Pages 81-98

RealLib: An efficient implementation of exact real arithmetic

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTER HARDWARE; PROBLEM SOLVING;

EID: 33847707016     PISSN: 09601295     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0960129506005822     Document Type: Conference Paper
Times cited : (25)

References (16)
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    • Aberth, O. (1974) A precise numerical analysis program. Communications of the ACM 17 (9) 509-513.
    • (1974) Communications of the ACM , vol.17 , Issue.9 , pp. 509-513
    • Aberth, O.1
  • 3
    • 84976791689 scopus 로고
    • Precise computation using range arithmetic, via C++. ACM Trans
    • Aberth, O. and Schaefer, M. J. (1992) Precise computation using range arithmetic, via C++. ACM Trans. Math. Softw. 18 (4) 481-491.
    • (1992) Math. Softw , vol.18 , Issue.4 , pp. 481-491
    • Aberth, O.1    Schaefer, M.J.2
  • 4
    • 0040684164 scopus 로고    scopus 로고
    • Feasible Real Random Access Machines
    • Brattka, V. and Hertling, P. (1998) Feasible Real Random Access Machines. Journal of Complexity 14 (4) 490-526.
    • (1998) Journal of Complexity , vol.14 , Issue.4 , pp. 490-526
    • Brattka, V.1    Hertling, P.2
  • 5
    • 33847693096 scopus 로고    scopus 로고
    • Briggs, K. (to appear) Implementing exact real arithmetic in python, C++ and C. To appear in Journal of theoretical computer science. (See also http://keithbriggs.info/xrc.html.)
    • Briggs, K. (to appear) Implementing exact real arithmetic in python, C++ and C. To appear in Journal of theoretical computer science. (See also http://keithbriggs.info/xrc.html.)
  • 6
    • 33847704869 scopus 로고    scopus 로고
    • Edalat, A. (2001) Exact Real Number Computation Using Linear Fractional Transformations. Final Report on EPSRC grant GR/L43077/01. (Available at http://www.doc.ic.ac.uk/~ae/exact- computation/exactarithmeticfinal.ps.gz.)
    • Edalat, A. (2001) Exact Real Number Computation Using Linear Fractional Transformations. Final Report on EPSRC grant GR/L43077/01. (Available at http://www.doc.ic.ac.uk/~ae/exact- computation/exactarithmeticfinal.ps.gz.)
  • 7
    • 0002820748 scopus 로고    scopus 로고
    • A domain-theoretic approach to computability on the real line
    • Edalat, A. and Sünderhauf, P. (1999) A domain-theoretic approach to computability on the real line. Theoretical Computer Science 210 (1) 73-98.
    • (1999) Theoretical Computer Science , vol.210 , Issue.1 , pp. 73-98
    • Edalat, A.1    Sünderhauf, P.2
  • 8
    • 0002113398 scopus 로고
    • On the definitions of computable real continuous functions
    • Grzegorczyk, A. (1957) On the definitions of computable real continuous functions. Fundamenta Matematicae 44 61-67.
    • (1957) Fundamenta Matematicae , vol.44 , pp. 61-67
    • Grzegorczyk, A.1
  • 9
    • 0034859064 scopus 로고    scopus 로고
    • Algorithms for Quad-Double Precision Floating Point Arithmetic
    • IEEE Computer Society
    • Hida, Y., Li, X. S. and Bailey, D. H. (2001) Algorithms for Quad-Double Precision Floating Point Arithmetic. 15th IEEE Symposium on Computer Arithmetic, IEEE Computer Society, 155-162.
    • (2001) 15th IEEE Symposium on Computer Arithmetic , pp. 155-162
    • Hida, Y.1    Li, X.S.2    Bailey, D.H.3
  • 11
    • 26944446126 scopus 로고    scopus 로고
    • Complexity and Intensionality in a Type-1 Framework for Computable Analysis
    • Lambov, B. (2005) Complexity and Intensionality in a Type-1 Framework for Computable Analysis. Springer-Verlag Lecture Notes in Computer Science 3634 442-461.
    • (2005) Springer-Verlag Lecture Notes in Computer Science , vol.3634 , pp. 442-461
    • Lambov, B.1
  • 13
    • 70349866861 scopus 로고    scopus 로고
    • Generalized and improved constructive separation bound for real algebraic expressions
    • Max-Planck-Institut für Informatik
    • Mehlhorn, K. and Schirra, S. (2000) Generalized and improved constructive separation bound for real algebraic expressions. Research Report, Max-Planck-Institut für Informatik.
    • (2000) Research Report
    • Mehlhorn, K.1    Schirra, S.2
  • 14
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    • Müller, N. (2001) The iRRAM: Exact arithmetic in C++. Computability and complexity in analysis (Swansea 2000). Springer-Verlag Lecture Notes in Computer Science 2064. (See also http://www.informatik.uni-trier.de/ iRRAM/.)
    • Müller, N. (2001) The iRRAM: Exact arithmetic in C++. Computability and complexity in analysis (Swansea 2000). Springer-Verlag Lecture Notes in Computer Science 2064. (See also http://www.informatik.uni-trier.de/ iRRAM/.)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.