-
1
-
-
34250406508
-
The number of roots of a system of equations
-
Bernshtein, D. N., "The Number of Roots of a System of Equations," Functional Analysis and its Applications (translated from Russian), Vol. 9, No. 2, (1975), pp. 183-185.
-
(1975)
Functional Analysis and its Applications (translated from Russian)
, vol.9
, Issue.2
, pp. 183-185
-
-
Bernshtein, D.N.1
-
2
-
-
0030291482
-
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
-
3
-
-
0003751005
-
-
Birkhäuser
-
Bini, Dario and Pan, Victor Y. Polynomial and Matrix Computations, Volume 1: Fundamental Algorithms, Progress in Theoretical Computer Science, Birkhäuser, 1994.
-
(1994)
Polynomial and Matrix Computations, Volume 1: Fundamental Algorithms, Progress in Theoretical Computer Science
-
-
Bini, D.1
Pan, V.Y.2
-
4
-
-
85032875512
-
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
-
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
-
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
-
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
-
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
-
10
-
-
0004057454
-
-
Birkhäuser, Boston
-
Gel'fand, I. M., Kapranov, M. M., and Zelevinsky, A. V., Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, Boston, 1994.
-
(1994)
Discriminants, Resultants and Multidimensional Determinants
-
-
Gel'fand, I.M.1
Kapranov, M.M.2
Zelevinsky, A.V.3
-
11
-
-
0011428975
-
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
-
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
-
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
-
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
-
16
-
-
0003487647
-
-
Springer-Verlag, New York-Berlin
-
Preparata, Franco P. and Shamos, Michael Ian, Computational Geometry: An Introduction, Texts and Monographs in Computer Science, Springer-Verlag, New York-Berlin, 1985.
-
(1985)
Computational Geometry: An Introduction, Texts and Monographs in Computer Science
-
-
Preparata, F.P.1
Shamos, M.I.2
-
18
-
-
0003230942
-
Toric laminations, sparse generalized characteristic polynomials, and a refinement of hilbert's tenth problem
-
January Springer-Verlag (1997)
-
Rojas, J. Maurice, "Toric Laminations, Sparse Generalized Characteristic Polynomials, and a Refinement of Hilbert's Tenth Problem," Foundations of Computational Mathematics, selected papers of a conference, held at IMPA in Rio de Janeiro, January 1997, Springer-Verlag (1997).
-
(1997)
Foundations of Computational Mathematics, Selected Papers of a Conference, Held at IMPA in Rio de Janeiro
-
-
Rojas, J.M.1
-
19
-
-
84896781212
-
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
-
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
-
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
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