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Volumn 114, Issue 2-3, 2000, Pages 233-247

Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods

Author keywords

Balancing; Numerical stability; Path following; Polyhedral homotopies

Indexed keywords


EID: 0001731339     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00115-0     Document Type: Article
Times cited : (12)

References (15)
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  • 5
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    • Efficient incremental algorithms for the sparse resultant and the mixed volume
    • Emiris I.Z., Canny J.F. Efficient incremental algorithms for the sparse resultant and the mixed volume. J. Symbolic Comput. 20:1995;117-149.
    • (1995) J. Symbolic Comput. , vol.20 , pp. 117-149
    • Emiris, I.Z.1    Canny, J.F.2
  • 7
    • 84968520678 scopus 로고
    • A polyhedral method for solving sparse polynomial systems
    • Huber B., Sturmfels B. A polyhedral method for solving sparse polynomial systems. Math. Comp. 64:1995;1541-1555.
    • (1995) Math. Comp. , vol.64 , pp. 1541-1555
    • Huber, B.1    Sturmfels, B.2
  • 8
    • 85011518993 scopus 로고    scopus 로고
    • Numerical solutions of multivariate polynomial systems by homotopy continuation methods
    • Li T.Y. Numerical solutions of multivariate polynomial systems by homotopy continuation methods. Acta Numerica. 6:1997;399-436.
    • (1997) Acta Numerica , vol.6 , pp. 399-436
    • Li, T.Y.1
  • 9
    • 0039021682 scopus 로고    scopus 로고
    • Enumerating regular mixed-cell configurations
    • Michiels T., Verschelde J. Enumerating regular mixed-cell configurations. Discrete Comput. Geom. 21:1999;569-579.
    • (1999) Discrete Comput. Geom. , vol.21 , pp. 569-579
    • Michiels, T.1    Verschelde, J.2
  • 10
    • 0000594826 scopus 로고
    • Solving a planar four-bar design problem using continuation
    • Morgan A.P., Wampler C.W. Solving a planar four-bar design problem using continuation. ASME J. Mechanical Design. 112:1990;544-550.
    • (1990) ASME J. Mechanical Design , vol.112 , pp. 544-550
    • Morgan, A.P.1    Wampler, C.W.2
  • 12
    • 0000798035 scopus 로고
    • On the Newton polytope of the resultant
    • Sturmfels B. On the Newton polytope of the resultant. J. Algebraic Combinatorics. 3:1994;207-236.
    • (1994) J. Algebraic Combinatorics , vol.3 , pp. 207-236
    • Sturmfels, B.1
  • 14
    • 0039648503 scopus 로고    scopus 로고
    • Mixed-volume computation by dynamic lifting applied to polynomial system solving
    • Verschelde J., Gatermann K., Cools R. Mixed-volume computation by dynamic lifting applied to polynomial system solving. Discrete Comput. Geom. 16:1996;69-112.
    • (1996) Discrete Comput. Geom. , vol.16 , pp. 69-112
    • Verschelde, J.1    Gatermann, K.2    Cools, R.3
  • 15
    • 0028449799 scopus 로고
    • Homotopies exploiting Newton polytopes for solving sparse polynomial systems
    • Verschelde J., Verlinden P., Cools R. Homotopies exploiting Newton polytopes for solving sparse polynomial systems. SIAM J. Numer. Anal. 31:1994;915-930.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 915-930
    • Verschelde, J.1    Verlinden, P.2    Cools, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.