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Volumn 1930, Issue , 2001, Pages 127-141

Solving nonlinear systems by constraint inversion and interval arithmetic

Author keywords

AI and symbolic mathematical computing; Constraint solving; Interval arithmetic; Nonlinear system; Symbolic numeric algorithm

Indexed keywords

APPROXIMATION ALGORITHMS; LOGIC PROGRAMMING; NONLINEAR SYSTEMS; POLYNOMIALS;

EID: 33846105672     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44990-6_10     Document Type: Conference Paper
Times cited : (17)

References (20)
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    • Combining Local Consistency, Symbolic Rewriting and Interval Methods
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    • Frédéric Benhamou and Laurent Granvilliers. Combining Local Consistency, Symbolic Rewriting and Interval Methods. In J. Calmet, J.A. Campbell, and J. Pfalzgraf, editors, Proceedings of the 3rd International Conference on Artificial Intelligence and Symbolic Mathematical Computation, volume 1138 of LNCS, pages 144-159, Steyr, Austria, 1996. Springer-Verlag.
    • (1996) Proceedings of the 3rd International Conference on Artificial Intelligence and Symbolic Mathematical Computation , vol.1138 , pp. 144-159
    • Benhamou, F.1    Granvilliers, L.2
  • 5
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    • Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory
    • D. Reidel Publishing Company
    • Bruno Buchberger. Gröbner Bases: an Algorithmic Method in Polynomial Ideal Theory. In Multidimensional Systems Theory, pages 184-232. D. Reidel Publishing Company, 1985.
    • (1985) Multidimensional Systems Theory , pp. 184-232
    • Buchberger, B.1
  • 6
    • 0023596142 scopus 로고
    • Logical Arithmetic
    • John G. Cleary. Logical Arithmetic. Future Computing Systems, 2(2): 125-149, 1987.
    • (1987) Future Computing Systems , vol.2 , Issue.2 , pp. 125-149
    • Cleary, J.G.1
  • 7
    • 80052985571 scopus 로고
    • Partial Cylindrical Algebraic Decomposition for Quantifier Elimination
    • Georges Edwin Collins and Hoon Hong. Partial Cylindrical Algebraic Decomposition for Quantifier Elimination. Journal of Symbolic Computation, 12(3): 299-328, 1991.
    • (1991) Journal of Symbolic Computation , vol.12 , Issue.3 , pp. 299-328
    • Collins, G.E.1    Hong, H.2
  • 11
    • 49449120803 scopus 로고
    • Consistency in Networks of Relations
    • Alan K. Mackworth. Consistency in Networks of Relations. Artificial Intelligence, 8(1): 99-118, 1977.
    • (1977) Artificial Intelligence , vol.8 , Issue.1 , pp. 99-118
    • Mackworth, A.K.1
  • 12
    • 0001847776 scopus 로고    scopus 로고
    • Efficient Control of the Dependency Problem based on Taylor Model Method
    • Kyoko Makino and Martin Berz. Efficient Control of the Dependency Problem based on Taylor Model Method. Reliable Computing, 5: 3-12, 1999.
    • (1999) Reliable Computing , vol.5 , pp. 3-12
    • Makino, K.1    Berz, M.2
  • 13
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Ramon Edgar Moore. Interval Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 17
  • 20
    • 0001656792 scopus 로고    scopus 로고
    • PHCpack: A General-purpose Solver for Polynomial Systems by Homotopy Continuation
    • Jan Verschelde. PHCpack: A General-purpose Solver for Polynomial Systems by Homotopy Continuation. ACM Transactions on Mathematical Software, 25(2): 251-276, 1999.
    • (1999) ACM Transactions on Mathematical Software , vol.25 , Issue.2 , pp. 251-276
    • Verschelde, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.