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Volumn 5, Issue 3, 1999, Pages 337-346

A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic

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EID: 0346391972     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009924521389     Document Type: Article
Times cited : (8)

References (14)
  • 1
    • 0002348416 scopus 로고
    • Implementation of Real Root Isolation Algorithms in Mathematica
    • Abstracts, St.Petersburg, Russia
    • Akritas, A., Bocharov, A., and Strzebonski, A.: Implementation of Real Root Isolation Algorithms in Mathematica, in: International Conference INTERVAL'94, Abstracts, St.Petersburg, Russia, 1994, pp. 23-27.
    • (1994) International Conference INTERVAL'94 , pp. 23-27
    • Akritas, A.1    Bocharov, A.2    Strzebonski, A.3
  • 3
    • 85029837057 scopus 로고
    • Quantifier Elimination for the Elementary Theory of Real Closed Fields by Cylindrical Algebraic Decomposition
    • Collins, G. E.: Quantifier Elimination for the Elementary Theory of Real Closed Fields by Cylindrical Algebraic Decomposition, Lect. Notes Comput. Sci. 33 (1975), pp. 134-183.
    • (1975) Lect. Notes Comput. Sci. , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 4
    • 80052985571 scopus 로고
    • Partial Cylindrical Algebraic Decomposition for Quantifier Elimination
    • Collins, G. E. and Hong, H.: Partial Cylindrical Algebraic Decomposition for Quantifier Elimination, J. Symbolic Comp. 12 (1991), pp. 299-328.
    • (1991) J. Symbolic Comp. , vol.12 , pp. 299-328
    • Collins, G.E.1    Hong, H.2
  • 5
    • 0025530776 scopus 로고
    • An Improvement of the Projection Operator in Cylindrical Algebraic Decomposition
    • Hong, H.: An Improvement of the Projection Operator in Cylindrical Algebraic Decomposition, in: Proceedings of ISSAC, 1990, pp. 261-264.
    • (1990) Proceedings of ISSAC , pp. 261-264
    • Hong, H.1
  • 8
    • 0003040568 scopus 로고    scopus 로고
    • An Improved Projection for Cylindrical Algebraic Decomposition
    • Caviness, B. and Johnson, J. (eds), Springer-Verlag
    • McCallum, S.: An Improved Projection for Cylindrical Algebraic Decomposition, in: Caviness, B. and Johnson, J. (eds), Quantifier Elimination and Cylindrical Algebruic Decomposition, Springer-Verlag, 1998.
    • (1998) Quantifier Elimination and Cylindrical Algebruic Decomposition
    • McCallum, S.1
  • 9
    • 85025515304 scopus 로고
    • An Improved Projection for Cylindrical Algebraic Decomposition of Three Dimensional Space
    • McCallum, S.: An Improved Projection for Cylindrical Algebraic Decomposition of Three Dimensional Space, J. Symbolic Comp. 5 (1988), pp. 141-161.
    • (1988) J. Symbolic Comp. , vol.5 , pp. 141-161
    • McCallum, S.1
  • 10
    • 0000931953 scopus 로고
    • Using Cylindrical Algebraic Decomposition
    • McCallum, S.: Using Cylindrical Algebraic Decomposition, The Computer Journal 36 (5) (1993), pp. 432-438.
    • (1993) The Computer Journal , vol.36 , Issue.5 , pp. 432-438
    • McCallum, S.1
  • 12
    • 0013062248 scopus 로고
    • An Algorithm for Systems of Strong Polynomial Inequalities
    • Strzebonski, A.: An Algorithm for Systems of Strong Polynomial Inequalities, The Mathematica Journal 4 (4) (1994), pp. 74-77.
    • (1994) The Mathematica Journal , vol.4 , Issue.4 , pp. 74-77
    • Strzebonski, A.1
  • 13
    • 0031541426 scopus 로고    scopus 로고
    • Computing in the Field of Complex Algebraic Numbers
    • Strzebonski, A.: Computing in the Field of Complex Algebraic Numbers, J. Symbolic Comp. 24 (1997), pp. 647-656.
    • (1997) J. Symbolic Comp. , vol.24 , pp. 647-656
    • Strzebonski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.