-
3
-
-
77953807414
-
Intersections of Schubert varieties and other permutation array schemes, Algorithms in Algebraic Geometry
-
(A. Dickenstein, F.-O. Schreyer, and A. J. Sommese, eds.) Springer, New York, MR2397936
-
S. Billey and R. Vakil, Intersections of Schubert varieties and other permutation array schemes, Algorithms in Algebraic Geometry (A. Dickenstein, F.-O. Schreyer, and A. J. Sommese, eds.), IMA Volumes in Mathematics and its Applications, vol. 146, Springer, New York, 2007, pp. 21-54. MR2397936
-
(2007)
IMA Volumes in Mathematics and its Applications
, vol.146
, pp. 21-54
-
-
Billey, S.1
Vakil, R.2
-
4
-
-
0002601479
-
Pole assignment by output feedback, Three Decades of Mathematical Systems Theory
-
(H. Nijmeijer and J. M. Schumacher, eds.) Springer-Verlag, Berlin MR1025786 (90k:93001)
-
C. I. Byrnes, Pole assignment by output feedback, Three Decades of Mathematical Systems Theory (H. Nijmeijer and J. M. Schumacher, eds.), Lecture Notes in Control and Inform. Sci., vol. 135, Springer-Verlag, Berlin, 1989, pp. 31-78. MR1025786 (90k:93001)
-
(1989)
Lecture Notes in Control and Inform. Sci.
, vol.135
, pp. 31-78
-
-
Byrnes, C.I.1
-
7
-
-
0002529940
-
-
(Oberwolfach, 1997) DMV Sem., Birkhäuser, Basel MR1785292 (2001f:52033)
-
Ewgenij Gawrilow and Michael Joswig, Polymake: A framework for analyzing convex polytopes, Polytopes-combinatorics and computation (Oberwolfach, 1997), DMV Sem., vol. 29, Birkhäuser, Basel, 2000, pp. 43-73. MR1785292 (2001f:52033)
-
(2000)
Polymake: A framework for analyzing convex polytopes Polytopes-combinatorics and computation
, vol.29
, pp. 43-73
-
-
Gawrilow, E.1
Joswig, M.2
-
8
-
-
84972568754
-
Galois groups of enumerative problems
-
MR552521 (80m:14038)
-
J. Harris, Galois groups of enumerative problems, Duke Math. J. 46 (1979), 685-724. MR552521 (80m:14038)
-
(1979)
Duke Math. J.
, vol.46
, pp. 685-724
-
-
Harris, J.1
-
9
-
-
0032346893
-
Numerical Schubert calculus
-
MR1662035 (2000i:14079)
-
B. Huber, F. Sottile, and B. Sturmfels, Numerical Schubert calculus, J. Symbolic Comput. 26 (1998), no. 6, 767-788. MR1662035 (2000i:14079)
-
(1998)
J. Symbolic Comput
, vol.26
, Issue.6
, pp. 767-788
-
-
Huber, B.1
Sottile, F.2
Sturmfels, B.3
-
10
-
-
0033696829
-
Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control
-
B. Huber and J. Verschelde, Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control, SIAM J. Control Optim. 38 (2000), no. 4, 1265-1287 (electronic). MR1760069 (2001g:93039)
-
(2000)
SIAM J. Control Optim
, vol.38
, Issue.4
, pp. 1265-1287
-
-
Huber, B.1
Verschelde, J.2
-
12
-
-
0028446207
-
An interval step control for continuation methods
-
MR1275119 (94m:65076)
-
R. Baker Kearfott and Zhaoyun Xing, An interval step control for continuation methods, SIAM J. Numer. Anal. 31 (1994), no. 3, 892-914. MR1275119 (94m:65076)
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, Issue.3
, pp. 892-914
-
-
Baker Kearfott, R.1
Xing, Z.2
-
13
-
-
0001274052
-
The transversality of a general translate
-
MR0360616 (50:13063)
-
S. Kleiman, The transversality of a general translate, Compositio Math. 28 (1974), 287-297. MR0360616 (50:13063)
-
(1974)
Compositio Math.
, vol.28
, pp. 287-297
-
-
Kleiman, S.1
-
14
-
-
0001336592
-
Schubert calculus
-
MR0323796 (48:2152)
-
S. Kleiman and D. Laksov, Schubert calculus, Amer. Math. Monthly 79 (1972), 1061-1082. MR0323796 (48:2152)
-
(1972)
Amer. Math. Monthly
, vol.79
, pp. 1061-1082
-
-
Kleiman, S.1
Laksov, D.2
-
17
-
-
33750072592
-
Interfacing with the numerical homotopy algorithms in PHCpack, Proceedings of ICMS 2006
-
(Nobuki Takayama and Andres Iglesias, eds.), Springer, Berlin MR2387182 no 4151
-
A. Leykin and J. Verschelde, Interfacing with the numerical homotopy algorithms in PHCpack, Proceedings of ICMS 2006 (Nobuki Takayama and Andres Iglesias, eds.), Lecture Notes in Computer Sci., no. 4151, Springer, Berlin, 2006, pp. 354-360. MR2387182
-
(2006)
Lecture Notes in Computer Sci
, Issue.4151
, pp. 354-360
-
-
Leykin, A.1
Verschelde, J.2
-
18
-
-
33750080160
-
Parallel homotopy algorithms to solve polynomial systems, Proceedings of ICMS 2006
-
(Nobuki Takayama and Andres Iglesias, eds.) Springer, Berlin MR2387173 no 4151
-
A. Leykin, J. Verschelde, and Z. Yang, Parallel homotopy algorithms to solve polynomial systems, Proceedings of ICMS 2006 (Nobuki Takayama and Andres Iglesias, eds.), Lecture Notes in Computer Sci., no. 4151, Springer, Berlin, 2006, pp. 225-234. MR2387173
-
(2006)
Lecture Notes in Computer Sci
, Issue.4151
, pp. 225-234
-
-
Leykin, A.1
Verschelde, J.2
Yang, Z.3
-
20
-
-
0001444287
-
The cheater's homotopy: An efficient procedure for solving systems of polynomial equations
-
MR1014884 (90m:65105)
-
T. Y. Li, Tim Sauer, and J. A. Yorke, The cheater's homotopy: An efficient procedure for solving systems of polynomial equations, SIAMJ. Numer. Anal. 26 (1989), no. 5, 1241-1251. MR1014884 (90m:65105)
-
(1989)
SIAMJ. Numer. Anal.
, vol.26
, Issue.5
, pp. 1241-1251
-
-
Li, T.Y.1
Tim, S.2
Yorke, J.A.3
-
21
-
-
33749268048
-
Experimentation and conjectures in the real Schubert calculus for flag manifolds
-
MR2253007 (2007g:14066)
-
J. Ruffo, Y. Sivan, E. Soprunova, and F. Sottile, Experimentation and conjectures in the real Schubert calculus for flag manifolds, Experiment. Math. 15 (2006), no. 2, 199-221. MR2253007 (2007g:14066)
-
(2006)
Experiment. Math.
, vol.15
, Issue.2
, pp. 199-221
-
-
Ruffo, J.1
Sivan, Y.2
Soprunova, E.3
Sottile, F.4
-
22
-
-
0002406320
-
Anzahl-Bestimmungen für lineare Räume. Beliebiger Dimension
-
MR1554694
-
H. Schubert, Anzahl-Bestimmungen für lineare Räume. Beliebiger Dimension, Acta. Math. 8 (1886), 97-118. MR1554694
-
(1886)
Acta. Math.
, vol.8
, pp. 97-118
-
-
Schubert, H.1
-
23
-
-
85036856520
-
Losüng des Charakteristiken-Problems für lineare Räume
-
(dated 1885)
-
H. Schubert, Losüng des Charakteristiken-Problems für lineare Räume. Beliebiger Dimension, Mittheil. Math. Ges. Hamburg (1886), 135-155, (dated 1885).
-
(1886)
Beliebiger Dimension, Mittheil. Math. Ges. Hamburg
, pp. 135-155
-
-
Schubert, H.1
-
24
-
-
84968505377
-
Complexity of Bézout's Theorem. I: Geometric Aspects
-
MR1175980 (93k:65045)
-
M. Shub and S. Smale, Complexity of Bézout's Theorem. I: Geometric Aspects, J. American Mathematical Society 6 (1993), no. 2, 459-501. MR1175980 (93k:65045)
-
(1993)
J. American Mathematical Society
, vol.6
, Issue.2
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
25
-
-
2042422576
-
Introduction to numerical algebraic geometry
-
Buenos Aires, Argentina (A. Dickenstein and I. Emiris, eds.) INRIA, 2003 A revised collection of the course notes is scheduled to be published by Springer-Verlag MR2161992 July 14-25
-
A. Sommese, J. Verschelde, and C. Wampler, Introduction to numerical algebraic geometry, Graduate School on Systems of Polynomial Equations: From Algebraic Geometry to Industrial Applications. 14-25 July 2003, Buenos Aires, Argentina (A. Dickenstein and I. Emiris, eds.), INRIA, 2003, A revised collection of the course notes is scheduled to be published by Springer-Verlag, pp. 229-247. MR2161992
-
(2003)
Graduate School on Systems of Polynomial Equations: From Algebraic Geometry to Industrial Applications
, pp. 229-247
-
-
Sommese, A.1
Verschelde, J.2
Wampler, C.3
-
26
-
-
84967683829
-
The numerical solution of systems of polynomials
-
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ MR2160078 (2007a:14065)
-
A. Sommese and C. Wampler, The numerical solution of systems of polynomials. Arising in engineering and science, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005. MR2160078 (2007a:14065)
-
(2005)
Arising in engineering and science
-
-
Sommese, A.1
Wampler, C.2
-
27
-
-
0031350627
-
Pieri's formula via explicit rational equivalence
-
MR1611668 (2000b:14070)
-
F. Sottile, Pieri's formula via explicit rational equivalence, Canad. J. Math. 49 (1997), no. 6, 1281-1298. MR1611668 (2000b:14070)
-
(1997)
Canad. J. Math.
, vol.49
, Issue.6
, pp. 1281-1298
-
-
Sottile, F.1
-
28
-
-
0002321615
-
Some real and unreal enumerative geometry for flag manifolds
-
Dedicated to William Fulton on the occasion of his 60th birthday, MR1786506 (2002d:14085)
-
F. Sottile, Some real and unreal enumerative geometry for flag manifolds, Michigan Math. J. 48 (2000), 573-592, Dedicated to William Fulton on the occasion of his 60th birthday. MR1786506 (2002d:14085)
-
(2000)
Michigan Math J
, vol.48
, pp. 573-592
-
-
Sottile, F.1
-
29
-
-
0742269313
-
Elementary transversality in the Schubert calculus in any characteristic
-
MR2021013 (2004i:14065)
-
F. Sottile, Elementary transversality in the Schubert calculus in any characteristic, Michigan Math. J. 51 (2003), no. 3, 651-666. MR2021013 (2004i:14065)
-
(2003)
Michigan Math. J.
, vol.51
, Issue.3
, pp. 651-666
-
-
Sottile, F.1
-
30
-
-
0003200154
-
Some combinatorial aspects of the Schubert calculus, Combinatoire et représentation du groupe symétrique
-
(Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Springer, Berlin MR0465880 (57:5766)
-
Richard P. Stanley, Some combinatorial aspects of the Schubert calculus, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976), Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 217-251. MR0465880 (57:5766)
-
(1977)
Lecture Notes in Math
, vol.579
, pp. 217-251
-
-
Stanley, R.P.1
-
31
-
-
33846530678
-
A geometric Littlewood-Richardson rule Ann. of Math
-
2 MR2247964 (2007f:05184)
-
R. Vakil, A geometric Littlewood-Richardson rule, Ann. of Math. (2) 164 (2006), no. 2, 371-421, Appendix A written with A. Knutson. MR2247964 (2007f:05184)
-
(2006)
Appendix A written with A. Knutson
, vol.164
, Issue.2
, pp. 371-421
-
-
Vakil, R.1
-
32
-
-
33749259063
-
Schubert induction
-
MR2247966 (2007j:14082)
-
R. Vakil, Schubert induction, Ann. of Math. (2) 164 (2006), no. 2, 489-512. MR2247966 (2007j:14082)
-
(2006)
Ann. of Math (2)
, vol.164
, Issue.2
, pp. 489-512
-
-
Vakil, R.1
-
33
-
-
0001656792
-
Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation
-
Softw. Software available at
-
J. Verschelde, Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation, ACM Trans. Math. Softw. 25 (1999), no. 2, 251-276, Software available at http://www.math.uic.edu/~jan.
-
(1999)
ACM Trans. Math
, vol.25
, Issue.2
, pp. 251-276
-
-
Verschelde, J.1
|