메뉴 건너뛰기




Volumn 1461 LNCS, Issue , 1998, Pages 127-138

Intrinsic near quadratic complexity bounds for real multivariate root counting

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84896760200     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-68530-8_11     Document Type: Conference Paper
Times cited : (3)

References (26)
  • 2
    • 0030291482 scopus 로고    scopus 로고
    • On the combinatorial and algebraic complexity of quantifier elimination
    • Basu, S., Pollack, R., and Roy, M.-F., "On the Combinatorial and Algebraic Complexity of Quantifier Elimination," J. ACM 43 (1996), no. 6, pp. 1002-1045.
    • (1996) J. ACM , vol.43 , Issue.6 , pp. 1002-1045
    • Basu, S.1    Pollack, R.2    Roy, M.-F.3
  • 4
    • 85032875512 scopus 로고
    • Generalized characteristic polynomials
    • Rome Lecture Notes in Comput. Sci., 358, Springer, Berlin, 1989
    • Canny, John F., "Generalized Characteristic Polynomials," Symbolic and Algebraic Computation (Rome, 1988), pp. 293-299, Lecture Notes in Comput. Sci., 358, Springer, Berlin, 1989.
    • (1988) Symbolic and Algebraic Computation , pp. 293-299
    • Canny, J.F.1
  • 5
    • 0001423662 scopus 로고
    • Improved algorithms for sign determination and existential quantifier elimination
    • -, "Improved Algorithms for Sign Determination and Existential Quantifier Elimination," Comput. J. 36 (1993), no. 5, pp. 409-418.
    • (1993) Comput. J , vol.36 , Issue.5 , pp. 409-418
    • Canny, J.F.1
  • 7
    • 0030162880 scopus 로고    scopus 로고
    • On the complexity of sparse elimination
    • Emiris, Ioannis Z., "On the Complexity of Sparse Elimination," J. Complexity 12 (1996), no. 2, pp. 134-136.
    • (1996) J. Complexity , vol.12 , Issue.2 , pp. 134-136
    • Emiris, I.Z.1
  • 8
    • 0000348667 scopus 로고
    • Efficient incremental algorithms for the sparse resultant and the mixed volume
    • Emiris, Ioannis Z. and Canny, John F., "Efficient Incremental Algorithms for the Sparse Resultant and the Mixed Volume," Journal of Symbolic Computation, Vol. 20 (1995), pp. 117-149.
    • (1995) Journal of Symbolic Computation , vol.20 , pp. 117-149
    • Emiris, I.Z.1    Canny, J.F.2
  • 9
    • 0003253612 scopus 로고    scopus 로고
    • Combinatorial convexity and algebraic geometry
    • Springer-Verlag, New York
    • Ewald, Günter, Combinatorial Convexity and Algebraic Geometry, Graduate Texts in Mathematics, 168, Springer-Verlag, New York, 1996.
    • (1996) Graduate Texts in Mathematics , vol.168
    • Ewald, G.1
  • 11
    • 0011428975 scopus 로고
    • On the complexity of some basic problems in computational convexity II: Volume and mixed volumes
    • Scarborough, ON NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 440, Kluwer Acad. Publ., Dordrecht
    • Gritzmann, Peter and Klee, Victor, "On the Complexity of Some Basic Problems in Computational Convexity II: Volume and Mixed Volumes," Polytopes: Abstract, Convex, and Computational (Scarborough, ON, 1993), pp. 373-466, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 440, Kluwer Acad. Publ., Dordrecht, 1994.
    • (1993) Polytopes: Abstract, Convex, and Computational , pp. 373-466
    • Gritzmann, P.1    Klee, V.2
  • 12
    • 0001734192 scopus 로고
    • Minkowski addition of polytopes: Computational complexity and applications to gröbner bases
    • Gritzmann, Peter and Sturmfels, Bernd, "Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases," SIAM J. Discrete Math. 6 (1993), no. 2, pp. 246-269.
    • (1993) SIAM J. Discrete Math , vol.6 , Issue.2 , pp. 246-269
    • Gritzmann, P.1    Sturmfels, B.2
  • 14
    • 0031645387 scopus 로고    scopus 로고
    • Asymptotic acceleration of solving multivariate polynomial systems of equations
    • ACM Press
    • Mourrain, Bernard and Pan, Victor, "Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations," STOC'98, ACM Press, 1998.
    • (1998) STOC'98
    • Mourrain, B.1    Pan, V.2
  • 15
    • 0003521409 scopus 로고
    • Algebraic geometry I: Complex algebraic varieties
    • reprint of 1976 edition Springer-Verlag, Berlin
    • Mumford, David, "Algebraic Geometry I: Complex Algebraic Varieties," reprint of 1976 edition, Classics in Mathematics, Springer-Verlag, Berlin, 1995, x+186 pp.
    • (1995) Classics in Mathematics
    • Mumford, D.1
  • 19
    • 84896781212 scopus 로고    scopus 로고
    • Linear algebra for large nonlinear algebra over the reals
    • extended abstract Snowbird, Utah, October
    • -, "Linear Algebra for Large Nonlinear Algebra over the Reals," extended abstract, Sixth SIAM Conference on Applied Linear Algebra, Snowbird, Utah, October, 1997.
    • (1997) Sixth SIAM Conference on Applied Linear Algebra
    • Rojas, J.M.1
  • 23
    • 0002172421 scopus 로고
    • Basic algorithms in real algebraic geometry and their complexity: From sturm's theorem to the existential theory of reals
    • Madrid de Gruyter Exp. Math., 23, de Gruyter, Berlin
    • Roy, Marie-Françoise, "Basic Algorithms in Real Algebraic Geometry and their Complexity: from Sturm's Theorem to the Existential Theory of Reals," Lectures in Real Geometry (Madrid, 1994), pp. 1-67, de Gruyter Exp. Math., 23, de Gruyter, Berlin, 1996.
    • (1994) Lectures in Real Geometry , pp. 1-67
    • Roy, M.-F.1
  • 24
    • 0000247930 scopus 로고
    • Sparse elimination theory
    • D. Eisenbud and L. Robbiano, editors Cortona, Italy Cambridge Univ. Press
    • Sturmfels, Bernd, "Sparse Elimination Theory," In D. Eisenbud and L. Robbiano, editors, Proc. Computat. Algebraic Geom. and Commut. Algebra 1991, pages 377-396, Cortona, Italy, 1993, Cambridge Univ. Press.
    • (1991) Proc. Computat. Algebraic Geom. and Commut. Algebra , pp. 377-396
    • Sturmfels, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.