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Volumn 21, Issue 4, 2005, Pages 593-608

An intrinsic homotopy for intersecting algebraic varieties

Author keywords

Components of solutions; Embedding; Generic points; Homotopy continuation; Irreducible components; Numerical algebraic geometry; Polynomial system

Indexed keywords

COMPUTATIONAL GEOMETRY; ITERATIVE METHODS; LINEAR ALGEBRA; MATRIX ALGEBRA; NUMERICAL METHODS; POLYNOMIALS; SET THEORY;

EID: 21844463272     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2004.09.007     Document Type: Article
Times cited : (11)

References (16)
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  • 6
    • 85011518993 scopus 로고    scopus 로고
    • Numerical solution of multivariate polynomial systems by homotopy continuation methods
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  • 8
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    • to appear
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    • 0000158786 scopus 로고    scopus 로고
    • Numerical homotopies to compute generic points on positive dimensional algebraic sets
    • A.J. Sommese J. Verschelde Numerical homotopies to compute generic points on positive dimensional algebraic sets J. Complexity 16 3 2000 572-602
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    • Sommese, A.J.1    Verschelde, J.2
  • 12
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    • Numerical irreducible decomposition using projections from points on the components
    • E.L. Green S. Hoşten R.C. Laubenbacher V. Powers Eds. Contemporary Mathematics, AMS Providence, RI
    • A.J. Sommese J. Verschelde C.W. Wampler Numerical irreducible decomposition using projections from points on the components In: E.L. Green S. Hoşten R.C. Laubenbacher V. Powers Eds. Symbolic Computation Solving Equations in Algebra, Geometry, and Engineering, Contemporary Mathematics, vol. 286 2001 AMS Providence, RI 37-51
    • (2001) Symbolic Computation Solving Equations in Algebra, Geometry, and Engineering , vol.286 , pp. 37-51
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 13
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    • A method for tracking singular paths with application to the numerical irreducible decomposition
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    • A.J. Sommese J. Verschelde C.W. Wampler A method for tracking singular paths with application to the numerical irreducible decomposition In: M.C. Beltrametti F. Catanese C. Ciliberto A. Lanteri C. Pedrini W. de Gruyter EDs. Algebraic Geometry, A Volume in Memory of Paolo Francia, vol. 286 2002 W. de Gruyter Berlin 329-345
    • (2002) Algebraic Geometry, A Volume in Memory of Paolo Francia , vol.286 , pp. 329-345
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 14
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    • Symmetric functions applied to decomposing solution sets of polynomial systems
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    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 15
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    • Homotopies for intersecting solution components of polynomial systems
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    • Verschelde, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.