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Volumn 42, Issue 4-6, 1996, Pages 541-549

Generic computation of the real closure of an ordered field

Author keywords

Axiom; Real algebraic numbers

Indexed keywords

ALGEBRA; NUMBER THEORY; POLYNOMIALS; ROOT LOCI; THEOREM PROVING;

EID: 0030290694     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(96)00031-6     Document Type: Article
Times cited : (5)

References (14)
  • 1
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    • (1986) J. Comput. System Sci. , vol.32 , pp. 251-264
    • Ben-Or, M.1    Kozen, D.2    Reif, J.3
  • 2
    • 0002355090 scopus 로고
    • Real zeros of polynomials
    • Springer, New York
    • G.E. Collins and R. Loos, Real zeros of polynomials, in: Computer Algebra (Springer, New York, 1982) 83-94.
    • (1982) Computer Algebra , pp. 83-94
    • Collins, G.E.1    Loos, R.2
  • 3
    • 0001560099 scopus 로고
    • Thom's Lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets
    • M. Coste and M.F. Roy, Thom's Lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets, J. Symbolic Comput. 5 (1988) 121-129.
    • (1988) J. Symbolic Comput. , vol.5 , pp. 121-129
    • Coste, M.1    Roy, M.F.2
  • 6
    • 85032033702 scopus 로고
    • Scratchpad II: An Abstract Datatype System for Mathematical Computation
    • Springer, New York
    • R.D. Jenks, R.S. Sutor and S.M. Watt, Scratchpad II: An Abstract Datatype System for Mathematical Computation, Lecture Notes in Computer Science, 296 (12) (Springer, New York, 1988).
    • (1988) Lecture Notes in Computer Science , vol.296 , Issue.12
    • Jenks, R.D.1    Sutor, R.S.2    Watt, S.M.3
  • 10
    • 0000541791 scopus 로고
    • Computing in algebraic extensions
    • Springer, New York
    • R. Loos, Computing in algebraic extensions in: Computer Algebra (Springer, New York, 1982) 173-187.
    • (1982) Computer Algebra , pp. 173-187
    • Loos, R.1
  • 12
    • 30244496263 scopus 로고
    • Real algebraic closure of an ordered field implementation in Axiom
    • Berkeley
    • R. Riboo, Real algebraic closure of an ordered field implementation in Axiom, in: Proc. ISSAC'92 Conf. (Berkeley, 1991) 206-215.
    • (1991) Proc. ISSAC'92 Conf. , pp. 206-215
    • Riboo, R.1
  • 13
    • 0002486960 scopus 로고
    • Complexity of computation on real algebraic numbers
    • M.F. Roy and A. Szpirglas, Complexity of computation on real algebraic numbers, J. Symbolic Comput. 10 (1990) 39-51.
    • (1990) J. Symbolic Comput. , vol.10 , pp. 39-51
    • Roy, M.F.1    Szpirglas, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.