-
2
-
-
78650777725
-
A Continuation Method to Solve Polynomial Systems, and Its Complexity
-
C. Beltrán. "A Continuation Method to Solve Polynomial Systems, and Its Complexity." Numerische Mathematik 117:1 (2011), 89-113.
-
(2011)
Numerische Mathematik
, vol.117
, Issue.1
, pp. 89-113
-
-
Beltrán, C.1
-
4
-
-
44249086976
-
On Smale's 17th Problem: A Probabilistic Positive Solution
-
C. Beltrán and L. M. Pardo. "On Smale's 17th Problem: A Probabilistic Positive Solution." Found. Comput. Math. 8:1 (2008), 1-43.
-
(2008)
Found. Comput. Math.
, vol.8
, Issue.1
, pp. 1-43
-
-
Beltrán, C.1
Pardo, L.M.2
-
5
-
-
70350704765
-
Smale's 17th Problem: Average Polynomial Time to Compute Affine and Projective Solutions
-
C. Beltrán and L. M. Pardo. "Smale's 17th Problem: Average Polynomial Time to Compute Affine and Projective Solutions." J. Amer. Math. Soc. 22 (2009), 363-385.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, pp. 363-385
-
-
Beltrán, C.1
Pardo, L.M.2
-
6
-
-
78651396160
-
Fast Linear Homotopy to Find Approximate Zeros of Polynomial Systems
-
C. Beltrán and L. M. Pardo. "Fast Linear Homotopy to Find Approximate Zeros of Polynomial Systems." Foundations of Computational Mathematics 11:1 (2011), 95-129.
-
(2011)
Foundations of Computational Mathematics
, vol.11
, Issue.1
, pp. 95-129
-
-
Beltrán, C.1
Pardo, L.M.2
-
7
-
-
75849160841
-
A Note on the Finite Variance of the Averaging Function for Polynomial System Solving
-
C. Beltrán and M. Shub. "A Note on the Finite Variance of the Averaging Function for Polynomial System Solving." Found. Comput. Math. 10 (2010), 115-125.
-
(2010)
Found. Comput. Math.
, vol.10
, pp. 115-125
-
-
Beltrán, C.1
Shub, M.2
-
12
-
-
84968520678
-
A Polyhedral Method for Solving Sparse Polynomial Systems
-
B. Huber and B. Sturmfels. "A Polyhedral Method for Solving Sparse Polynomial Systems." Math. Comp., 64:212 (1995), 1541-1555.
-
(1995)
Math. Comp.
, vol.64
, Issue.212
, pp. 1541-1555
-
-
Huber, B.1
Sturmfels, B.2
-
15
-
-
80055077913
-
Numerical Algebraic Geometry
-
A. Leykin. "Numerical Algebraic Geometry." JSAG 3 (2011), 5-10.
-
(2011)
JSAG
, vol.3
, pp. 5-10
-
-
Leykin, A.1
-
16
-
-
67749095075
-
Galois Groups of Schubert Problems via Homotopy Computation
-
A. Leykin and F. Sottile. "Galois Groups of Schubert Problems via Homotopy Computation." Math. Comp. 78:267 (2009), 1749-1765.
-
(2009)
Math. Comp.
, vol.78
, Issue.267
, pp. 1749-1765
-
-
Leykin, A.1
Sottile, F.2
-
17
-
-
33746348355
-
Newton's Method with Deflation for Isolated Singularities of Polynomial Systems
-
A. Leykin, J. Verschelde, and A. Zhao. "Newton's Method with Deflation for Isolated Singularities of Polynomial Systems." Theoretical Computer Science 359:1-3 (2006), 111-122.
-
(2006)
Theoretical Computer Science
, vol.359
, Issue.1-3
, pp. 111-122
-
-
Leykin, A.1
Verschelde, J.2
Zhao, A.3
-
18
-
-
77950341364
-
Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions
-
IMA Vol. Math. Appl. Springer
-
A. Leykin, J. Verschelde, and A. Zhao. "Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions." In Algorithms in Algebraic Geometry, IMA Vol. Math. Appl. 146, pp. 79-97. Springer, 2008.
-
(2008)
Algorithms in Algebraic Geometry
, vol.146
, pp. 79-97
-
-
Leykin, A.1
Verschelde, J.2
Zhao, A.3
-
19
-
-
34248378314
-
How to Generate Random Matrices from the Classical Compact Groups
-
F. Mezzadri. "How to Generate Random Matrices from the Classical Compact Groups." Notices of the American Mathematical Society 54:5 (2007), 592-604.
-
(2007)
Notices of the American Mathematical Society
, vol.54
, Issue.5
, pp. 592-604
-
-
Mezzadri, F.1
-
21
-
-
62949144020
-
Complexity of Bézout's Theorem. VI: Geodesics in the Condition (Number) Metric
-
M. Shub. "Complexity of Bézout's Theorem. VI: Geodesics in the Condition (Number) Metric." Found. Comput. Math. 9:2 (2009), 171-178.
-
(2009)
Found. Comput. Math.
, vol.9
, Issue.2
, pp. 171-178
-
-
Shub, M.1
-
22
-
-
84968505377
-
Complexity of Bézout's Theorem. I. Geometric Aspects
-
M. Shub and S. Smale. "Complexity of Bézout's Theorem. I. Geometric Aspects." J. Amer. Math. Soc. 6:2 (1993), 459-501.
-
(1993)
J. Amer. Math. Soc.
, vol.6
, Issue.2
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
23
-
-
0028516294
-
Complexity of Bézout's Theorem. V. Polynomial Time
-
Selected papers of the Workshop on Continuous Algorithms and Complexity (Barcelona, 1993)
-
M. Shub and S. Smale. "Complexity of Bézout's Theorem. V. Polynomial Time." Theoret. Comput. Sci. 133:1 (1994), Selected papers of the Workshop on Continuous Algorithms and Complexity (Barcelona, 1993), 141-164.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, Issue.1
, pp. 141-164
-
-
Shub, M.1
Smale, S.2
-
24
-
-
0002383975
-
Newton's Method Estimates from Data at One Point
-
Springer
-
S. Smale. "Newton's Method Estimates from Data at One Point." In The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics (Laramie, Wyo., 1985), pp. 185-196. Springer, 1986.
-
(1986)
The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics (Laramie, Wyo., 1985)
, pp. 185-196
-
-
Smale, S.1
-
26
-
-
0034580750
-
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
-
A. J. Sommese, J. Verschelde, and C. W. Wampler. "Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components." SIAM J. Numer. Anal. 38:6 (2001), 2022-2046.
-
(2001)
SIAM J. Numer. Anal.
, vol.38
, Issue.6
, pp. 2022-2046
-
-
Sommese, A.J.1
Verschelde, J.2
Wampler, C.W.3
-
27
-
-
0001656792
-
Algorithm 795: PHCpack: A General-Purpose Solver for Polynomial Systems by Homotopy Continuation
-
J. Verschelde. "Algorithm 795: PHCpack: A General-Purpose Solver for Polynomial Systems by Homotopy Continuation." ACM Trans. Math. Softw. 25:2 (1999), 251-276.
-
(1999)
ACM Trans. Math. Softw.
, vol.25
, Issue.2
, pp. 251-276
-
-
Verschelde, J.1
-
28
-
-
21344479064
-
Random Unitary Matrices
-
English summary
-
K. Zyczkowski and M. Kus. "Random Unitary Matrices" (English summary). J. Phys. A 133:27 (1994), 4235-4245.
-
(1994)
J. Phys. A
, vol.133
, Issue.27
, pp. 4235-4245
-
-
Zyczkowski, K.1
Kus, M.2
|