-
1
-
-
0142010087
-
Introduction to numerical continuation methods
-
SIAM, Philadelphia, PA
-
ALLGOWER, E. AND GEORG, K. 2003. Introduction to Numerical Continuation Methods. Classics in Applied Mathematics Series, vol. 45, SIAM, Philadelphia, PA.
-
(2003)
Classics in Applied Mathematics Series
, vol.45
-
-
Allgower, E.1
Georg, K.2
-
2
-
-
46049114641
-
Adaptive multiprecision path tracking
-
BATES, D., HAUENSTEIN, J., SOMMESE, A., AND WAMPLER, C. 2008. Adaptive multiprecision path tracking. SIAM J. Numer. Anal. 46, 2, 722-746.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, Issue.2
, pp. 722-746
-
-
Bates, D.1
Hauenstein, J.2
Sommese, A.3
Wampler, C.4
-
3
-
-
78649343319
-
Stepsize control for path tracking. Interactions of classical and numerical algebraic geometry, contemp
-
American Mathematical Society, Providence, RI
-
BATES, D.,HAUENSTEIN, J., SOMMESE, A., AND WAMPLER, C. 2009a. Stepsize control for path tracking. In Interactions of Classical and Numerical Algebraic Geometry, Contemp. Math. Series, vol. 496, American Mathematical Society, Providence, RI, 21-31.
-
(2009)
Math. Series
, vol.496
, pp. 21-31
-
-
Bates, D.1
Hauenstein, J.2
Sommese, A.3
Wampler, C.4
-
4
-
-
84865022088
-
Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials
-
Springer
-
BATES, D. J.,HAUENSTEIN, J. D., PETERSON, C., AND SOMMESE, A. J. 2009b. Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. In Approximate Commutative Algebra, Texts and Monographs in Symbolic Computation, Springer, 55-77.
-
(2009)
Approximate Commutative Algebra, Texts and Monographs in Symbolic Computation
, pp. 55-77
-
-
Bates, D.J.1
Hauenstein, J.D.2
Peterson, C.3
Sommese, A.J.4
-
5
-
-
85027918961
-
Efficient path tracking methods
-
BATES, D. J., HAUENSTEIN, J. D., AND SOMMESE, A. J. 2011. Efficient path tracking methods. Numer. Algor. 58, 4, 451-459.
-
(2011)
Numer. Algor.
, vol.58
, Issue.4
, pp. 451-459
-
-
Bates, D.J.1
Hauenstein, J.D.2
Sommese, A.J.3
-
6
-
-
85035815346
-
-
BATES, D., HAUENSTEIN, J., SOMMESE, A., AND WAMPLER, C. 2012. Bertini: Software for numerical algebraic geometry. www.nd.edu/sommese/bertini.
-
(2012)
Bertini: Software for Numerical Algebraic Geometry.
-
-
Bates, D.1
Hauenstein, J.2
Sommese, A.3
Wampler, C.4
-
7
-
-
85001726432
-
The shape of the shape lemma
-
BECKER, E., MARINARI, M., MORA, T., AND TRAVERSO, C. 1993. The shape of the Shape Lemma. In Proceedings of the International Symposium on Algorithms and Computation. 129-133.
-
(1993)
Proceedings of the International Symposium on Algorithms and Computation.
, pp. 129-133
-
-
Becker, E.1
Marinari, M.2
Mora, T.3
Traverso, C.4
-
8
-
-
84866517015
-
Certified numerical homotopy tracking
-
BELTR ́AN, C. AND LEYKIN, A. 2012. Certified numerical homotopy tracking. Exper. Math. 21, 1, 69-83.
-
(2012)
Exper. Math.
, vol.21
, Issue.1
, pp. 69-83
-
-
Beltŕan, C.1
Leykin, A.2
-
9
-
-
0003615227
-
-
Springer
-
BLUM, L., CUCKER, F., SHUB, M., AND SMALE, S. 1998. Complexity and Real Computation. Springer.
-
(1998)
Complexity and Real Computation
-
-
Blum, L.1
Cucker, F.2
Shub, M.3
Smale, S.4
-
10
-
-
79951557461
-
-
DECKER, W., GREUEL, G.-M., PFISTER, G., AND SCHONEMANN, H. 2010. SINGULAR 3-1-1-A computer algebra system for polynomial computations. www.singular.uni-kl.de.
-
(2010)
SINGULAR 3-1-1-A Computer Algebra System for Polynomial Computations.
-
-
Decker, W.1
Greuel, G.-M.2
Pfister, G.3
Schonemann, H.4
-
11
-
-
0034409755
-
Newton's method for overdetermined systems of equations
-
DEDIEU, J.-P. AND SHUB, M. 2000. Newton's method for overdetermined systems of equations. Math. Comput. 69, 231, 1099-1115.
-
(2000)
Math. Comput.
, vol.69
, Issue.231
, pp. 1099-1115
-
-
Dedieu, J.-P.1
Shub, M.2
-
12
-
-
0003004069
-
The stewart-gough platform of general geometry can have 40 real postures
-
Kluwer Academic Publishers
-
DIETMAIER, P. 1998. The Stewart-Gough platform of general geometry can have 40 real postures. In Advances in Robot Kinematics: Analysis and Control, Kluwer Academic Publishers, 1-10.
-
(1998)
Advances in Robot Kinematics: Analysis and Control
, pp. 1-10
-
-
Dietmaier, P.1
-
13
-
-
34547422405
-
Mpfr: A multipleprecision binary floating-point library with correct rounding
-
2 Art 13
-
FOUSSE, L., HANROT, G., LEFEVRE, V., P'ELISSIER, P., AND ZIMMERMANN, P. 2007. MPFR: A multipleprecision binary floating-point library with correct rounding. ACM Trans. Math. Softw. 33, 2, Art. 13, 15.
-
(2007)
ACM Trans. Math. Softw.
, vol.33
, pp. 15
-
-
Fousse, L.1
Hanrot, G.2
Lefevre, V.3
P'elissier, P.4
Zimmermann, P.5
-
14
-
-
0001842831
-
Notes on stable maps and quantum cohomology
-
FULTON, W. AND PANDHARIPANDE, R. 1997. Notes on stable maps and quantum cohomology. In Algebraic
-
(1997)
Algebraic
-
-
Fulton, W.1
Pandharipande, R.2
-
15
-
-
84866514534
-
-
Geometry Santa Cruz, American Mathematical Society, Providence, RI
-
Geometry Santa Cruz 1995, Proceedings of the Symposium on Pure Mathematics Series, vol. 62, American Mathematical Society, Providence, RI, 45-96.
-
(1995)
Proceedings of the Symposium on Pure Mathematics Series
, vol.62
, pp. 45-96
-
-
-
16
-
-
84866507472
-
-
ArXiv.org/1010.0665
-
GARĆIA-PUENTE, L., HEIN, N., HILLAR, C., DEL CAMPO-SANCHEZ, A. M., RUFFO, J., SOTTILE, F., AND TEITLER, Z. 2010. The Secant Conjecture in the real Schubert calculus. ArXiv.org/1010.0665.
-
(2010)
The Secant Conjecture in the real Schubert calculus
-
-
Garćia-Puente, L.1
Hein, N.2
Hillar, C.3
Del Campo-Sanchez, A.M.4
Ruffo, J.5
Sottile, F.6
Teitler, Z.7
-
18
-
-
0002020490
-
Contribution to discussion papers on research in automobile stability, control and tyre performance
-
GOUGH, V. 1957. Contribution to discussion papers on research in automobile stability, control and tyre performance. Proc. Auto Div. Inst. Mech. Eng., 392-394.
-
(1957)
Proc. Auto Div. Inst. Mech. Eng.
, pp. 392-394
-
-
Gough, V.1
-
20
-
-
84866478484
-
-
HAUENSTEIN, J., HEIN, N., DEL CAMPO-SANCHEZ, A. M., AND SOTTILE, F. 2010. Beyond the Shapiro Conjecture and Eremenko-Gabrielov lower bounds. www.math.tamu.edu/sottile/research/pages/lower Shapiro/.
-
(2010)
Beyond the Shapiro Conjecture and Eremenko-Gabrielov Lower Bounds.
-
-
Hauenstein, J.1
Hein, N.2
Del Campo-Sanchez, A.M.3
Sottile, F.4
-
21
-
-
78649385909
-
Regeneration homotopies for solving systems of polynomials
-
HAUENSTEIN, J., SOMMESE, A., AND WAMPLER, C. 2011. Regeneration homotopies for solving systems of polynomials. Math. Comput. 80, 345-377.
-
(2011)
Math. Comput.
, vol.80
, pp. 345-377
-
-
Hauenstein, J.1
Sommese, A.2
Wampler, C.3
-
22
-
-
59149091620
-
A caporaso-harris type formula for welschinger invariants of real toric del pezzo surfaces
-
ITENBERG, I., KHARLAMOV, V., AND SHUSTIN, E. 2009. A Caporaso-Harris type formula for Welschinger invariants of real toric del Pezzo surfaces. Comment. Math. Helv. 84, 1, 87-126.
-
(2009)
Comment. Math. Helv.
, vol.84
, Issue.1
, pp. 87-126
-
-
Itenberg, I.1
Kharlamov, V.2
Shustin, E.3
-
23
-
-
76749145005
-
On the minimum of a positive polynomial over the standard simplex
-
JERONIMO, G. AND PERRUCCI, D. 2010. On the minimum of a positive polynomial over the standard simplex. J. Symbolic Comput. 45, 4, 434-442.
-
(2010)
J. Symbolic Comput.
, vol.45
, Issue.4
, pp. 434-442
-
-
Jeronimo, G.1
Perrucci, D.2
-
25
-
-
0003655414
-
-
Addison-Wesley Publishing Company Advanced Book Program, Reading, MA
-
LANG, S. 1983. Real Analysis 2nd Ed. Addison-Wesley Publishing Company Advanced Book Program, Reading, MA.
-
(1983)
Real Analysis 2nd Ed
-
-
Lang, S.1
-
26
-
-
56749179605
-
Hom4ps-2.0: A software package for solving polynomial systems by the polyhedral homotopy continuation method
-
LEE, T.-L., LI, T.-Y., AND TSAI, C.-H. 2008. HOM4PS-2.0: A software package for solving polynomial systems by the polyhedral homotopy continuation method. Comput. 83, 109-133.
-
(2008)
Comput.
, vol.83
, pp. 109-133
-
-
Lee, T.-L.1
Li, T.-Y.2
Tsai, C.-H.3
-
27
-
-
67749095075
-
Galois groups of schubert problems via homotopy computation
-
LEYKIN, A. AND SOTTILE, F. 2009. Galois groups of Schubert problems via homotopy computation. Math. Comput. 78, 267, 1749-1765.
-
(2009)
Math. Comput.
, vol.78
, Issue.267
, pp. 1749-1765
-
-
Leykin, A.1
Sottile, F.2
-
28
-
-
18144403192
-
Enumerative tropical algebraic geometry in r2
-
MIKHALKIN, G. 2005. Enumerative tropical algebraic geometry in R2. J. Amer. Math. Soc. 18, 2, 313-377.
-
(2005)
J. Amer. Math. Soc.
, vol.18
, Issue.2
, pp. 313-377
-
-
Mikhalkin, G.1
-
29
-
-
84884622998
-
Solving polynomial systems using continuation for engineering and scientific problems
-
SIAM, Philadelphia, PA
-
MORGAN, A. 2009. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems. Classics in Applied Mathematics, 57, SIAM, Philadelphia, PA.
-
(2009)
Classics in Applied Mathematics
, vol.57
-
-
Morgan, A.1
-
30
-
-
0026822964
-
Complete solution of the nine-point path synthesis problem for four-bar linkages
-
MORGAN, A., SOMMESE, A., AND WAMPLER, C. 1992. Complete solution of the nine-point path synthesis problem for four-bar linkages. ASME J. Mech. Des. 114, 1, 153-159.
-
(1992)
ASME J. Mech. Des.
, vol.114
, Issue.1
, pp. 153-159
-
-
Morgan, A.1
Sommese, A.2
Wampler, C.3
-
31
-
-
71449087545
-
The b. and m. Shapiro conjecture in real algebraic geometry and the bethe ansatz
-
2
-
MUKHIN, E., TARASOV, V., AND VARCHENKO, A. 2009. The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Ann. Math. (2) 170, 2, 863-881.
-
(2009)
Ann. Math.
, vol.2
, Issue.170
, pp. 863-881
-
-
Mukhin, E.1
Tarasov, V.2
Varchenko, A.3
-
32
-
-
84968505377
-
Complexity of b'ezout's theorem. I. Geometric aspects
-
SHUB, M. AND SMALE, S. 1993. Complexity of B'ezout's theorem. I. Geometric aspects. J. Amer. Math. Soc. 6, 2, 459-501.
-
(1993)
J. Amer. Math. Soc.
, vol.6
, Issue.2
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
35
-
-
0013036672
-
Numerical irreducible decomposition using projections from points on the components
-
American Mathematical Society, Providence, RI
-
SOMMESE, A., VERSCHELDE, J., AND WAMPLER, C. 2001. Numerical irreducible decomposition using projections from points on the components. In Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, Contemp. Mathematics Series, vol. 286, American Mathematical Society, Providence, RI, 37-51.
-
(2001)
Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, Contemp. Mathematics Series
, vol.286
, pp. 37-51
-
-
Sommese, A.1
Verschelde, J.2
Wampler, C.3
-
36
-
-
77952700637
-
Frontiers of reality in schubert calculus
-
SOTTILE, F. 2010. Frontiers of reality in Schubert calculus. Bull. Amer. Math. Soc. (N.S.) 47, 1, 31-71.
-
(2010)
Bull. Amer. Math. Soc. (N.S.)
, vol.47
, Issue.1
, pp. 31-71
-
-
Sottile, F.1
-
37
-
-
0000145503
-
A platform with 6 degree of freedom
-
STEWART, D. 1966. A platform with 6 degree of freedom. Proc. Inst. Mech. Engin. 180, 371-386.
-
(1966)
Proc. Inst. Mech. Engin.
, vol.180
, pp. 371-386
-
-
Stewart, D.1
-
38
-
-
0001656792
-
Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation
-
VERSCHELDE, J. 1999a. Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. 25, 2, 251-276. www.math.uic.edu/jan. (Pubitemid 129533740)
-
(1999)
ACM Transactions on Mathematical Software
, vol.25
, Issue.2
, pp. 251-276
-
-
Verschelde, J.1
-
40
-
-
0037768590
-
Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
-
DOI 10.1016/S1631-073X(03)00059-1
-
WELSCHINGER, J.-Y. 2003. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry. C. R. Math. Acad. Sci. Paris 336, 4, 341-344. (Pubitemid 36656908)
-
(2003)
Comptes Rendus Mathematique
, vol.336
, Issue.4
, pp. 341-344
-
-
Welschinger, J.-Y.1
|