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Volumn , Issue , 2004, Pages 3-

Numerical algebraic geometry and symbolic computation

Author keywords

Approximate factorization; Irreducible decomposition; Numerical homotopy continuation; Polynomial systems

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; MATRIX ALGEBRA; MEMBERSHIP FUNCTIONS; NUMERICAL METHODS; POLYNOMIALS;

EID: 27644452721     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1005285.1005288     Document Type: Conference Paper
Times cited : (1)

References (10)
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    • T. Mora, editor, ACM
    • R. Corless, A. Galligo, I. Kotsireas, and S. Watt. A geometric-numeric algorithm for factoring multivariate polynomials. In T. Mora, editor, Proceedings of ISSAC 2002. pages 37-45. ACM, 2002.
    • (2002) Proceedings of ISSAC 2002 , pp. 37-45
    • Corless, R.1    Galligo, A.2    Kotsireas, I.3    Watt, S.4
  • 3
    • 0034777193 scopus 로고    scopus 로고
    • Semi-numerical determination of irreducible branches of a reduced space curve
    • B. Mourrain, editor, ACM
    • A. Galligo and D. Rupprecht. Semi-numerical determination of irreducible branches of a reduced space curve. In B. Mourrain, editor, Proceedings of ISSAC 2001, pages 137-142. ACM, 2001.
    • (2001) Proceedings of ISSAC 2001 , pp. 137-142
    • Galligo, A.1    Rupprecht, D.2
  • 4
    • 0036328149 scopus 로고    scopus 로고
    • Irreducible decomposition of curves
    • A. Galligo and D. Rupprecht. Irreducible decomposition of curves. J. Symbolic Computation, 33(5):661-677, 2002.
    • (2002) J. Symbolic Computation , vol.33 , Issue.5 , pp. 661-677
    • Galligo, A.1    Rupprecht, D.2
  • 5
    • 27644556543 scopus 로고    scopus 로고
    • Approximate factorization of multivariate polynomials via differential equations
    • J. Gutierrez, editor, this volume
    • S. Gao, E. Kaltofen, J. May, Z. Yang, and L. Zhi. Approximate factorization of multivariate polynomials via differential equations. In J. Gutierrez, editor, Proceedings of ISSAC 2004 (this volume).
    • Proceedings of ISSAC 2004
    • Gao, S.1    Kaltofen, E.2    May, J.3    Yang, Z.4    Zhi, L.5
  • 6
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    • La détermination de la dimension et des points isolées d'une variété algébrique peuvent s'effectuer en temps polynomial
    • D. Eisenbud and L. Robbiano, editors, Cambridge UP
    • M. Giusti and J. Heintz. La détermination de la dimension et des points isolées d'une variété algébrique peuvent s'effectuer en temps polynomial. In D. Eisenbud and L. Robbiano, editors, Computational Algebraic Geometry and Commutative Algebra, Cortona 1991, pages 216-256. Cambridge UP, 1993.
    • (1993) Computational Algebraic Geometry and Commutative Algebra, Cortona 1991 , pp. 216-256
    • Giusti, M.1    Heintz, J.2
  • 7
    • 0035294718 scopus 로고    scopus 로고
    • A Gröbner free alternative for polynomial system solving
    • M. Giusti, G. Lecerf, and B. Salvy. A Gröbner free alternative for polynomial system solving. Journal of Complexity, 17(1):154-211, 2001.
    • (2001) Journal of Complexity , vol.17 , Issue.1 , pp. 154-211
    • Giusti, M.1    Lecerf, G.2    Salvy, B.3
  • 8
    • 0003043247 scopus 로고    scopus 로고
    • Challenges of symbolic computation: My favorite open problems
    • E. Kaltofen. Challenges of symbolic computation: my favorite open problems. J. Symbolic Computation, 29(6):891-919, 2000.
    • (2000) J. Symbolic Computation , vol.29 , Issue.6 , pp. 891-919
    • Kaltofen, E.1
  • 9
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    • Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers
    • G. Lecerf. Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers. Journal of Complexity, 19(4):564-596, 2003.
    • (2003) Journal of Complexity , vol.19 , Issue.4 , pp. 564-596
    • Lecerf, G.1
  • 10
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    • Approximate multivariate polynomial factorization based on zero-sum relations
    • B. Mourrain, editor, ACM
    • T. Sasaki. Approximate multivariate polynomial factorization based on zero-sum relations. In B. Mourrain, editor, Proceedings of ISSAC 2001, 284-291. ACM, 2001.
    • (2001) Proceedings of ISSAC 2001 , pp. 284-291
    • Sasaki, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.