default search action
Google
Google Scholar
Semantic Scholar
Internet Archive Scholar
CiteSeerX
ORCIDFrank Sottile
Person information
- affiliation: Texas A&M University, College Station, Texas, USA
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
2020 – today
- 2023
[j41]Michael Burr, Frank Sottile, Elise Walker:
Numerical homotopies from Khovanskii bases. Math. Comput. 92(343): 2333-2353 (2023)- [i12]Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile:
Numerical Nonlinear Algebra. CoRR abs/2302.08585 (2023) - 2022
- [j40]Ata Firat Pir, Frank Sottile
:
Irrational Toric Varieties and Secondary Polytopes. Discret. Comput. Geom. 67(4): 1053-1079 (2022) - [j39]Paul Breiding, Frank Sottile, James Woodcock:
Euclidean Distance Degree and Mixed Volume. Found. Comput. Math. 22(6): 1743-1765 (2022) - [j38]Timothy Duff, Nickolas Hein, Frank Sottile:
Certification for polynomial systems via square subsystems. J. Symb. Comput. 109: 367-385 (2022) - 2021
- [j37]Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez, Frank Sottile:
A numerical toolkit for multiprojective varieties. Math. Comput. 90(327): 413-440 (2021) - [j36]Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde:
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Math. Comput. 90(329): 1407-1433 (2021) - [j35]Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl:
Solving decomposable sparse systems. Numer. Algorithms 88(1): 453-474 (2021) - 2020
- [j34]Michael DiPasquale, Frank Sottile:
Bivariate semialgebraic splines. J. Approx. Theory 254: 105392 (2020) - [c8]Frank Sottile:
General witness sets for numerical algebraic geometry. ISSAC 2020: 418-425 - [i11]Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl:
Solving Decomposable Sparse Systems. CoRR abs/2001.04228 (2020) - [i10]Frank Sottile:
General witness sets for numerical algebraic geometry. CoRR abs/2002.00180 (2020) - [i9]Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl:
Decomposable sparse polynomial systems. CoRR abs/2006.03154 (2020)
2010 – 2019
- 2018
- [j33]Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile:
Numerical Computation of Galois Groups. Found. Comput. Math. 18(4): 867-890 (2018) - 2017
- [j32]Michael DiPasquale, Frank Sottile, Lan-Yin Sun:
Semialgebraic splines. Comput. Aided Geom. Des. 55: 29-47 (2017) - 2016
- [j31]Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile:
A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus. Found. Comput. Math. 16(4): 941-963 (2016) - [j30]Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile:
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. Numer. Algorithms 73(1): 281-304 (2016) - 2015
- [j29]Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, Frank Sottile, Zach Teitler:
The Monotone Secant Conjecture in the Real Schubert Calculus. Exp. Math. 24(3): 261-269 (2015) - [j28]Elisa Postinghel, Frank Sottile, Nelly Villamizar:
Degenerations of real irrational toric varieties. J. Lond. Math. Soc. 92(2): 223-241 (2015) - [i8]Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile:
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. CoRR abs/1505.05241 (2015) - 2014
- [j27]Jonathan D. Hauenstein, Frank Sottile:
Newton Polytopes and Witness Sets. Math. Comput. Sci. 8(2): 235-251 (2014) - 2013
- [j26]Evgenia Soprunova, Frank Sottile:
Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties. Discret. Comput. Geom. 50(2): 509-519 (2013) - [j25]Christopher J. Hillar, Frank Sottile:
Complex Static Skew-Symmetric Output Feedback Control. SIAM J. Control. Optim. 51(4): 3011-3026 (2013) - 2012
- [j24]Luis David García-Puente, Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, James Ruffo, Frank Sottile, Zach Teitler:
The Secant Conjecture in the Real Schubert Calculus. Exp. Math. 21(3): 252-265 (2012) - [j23]Jonathan D. Hauenstein, Frank Sottile:
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems. ACM Trans. Math. Softw. 38(4): 28:1-28:20 (2012) - 2011
- [b1]Frank Sottile:
Real Solutions to Equations from Geometry. University lecture series 57, American Mathematical Society 2011, ISBN 978-0-8218-5331-3, pp. I-IX, 1-200 - [j22]Daniel J. Bates, Frank Sottile:
Khovanskii-Rolle Continuation for Real Solutions. Found. Comput. Math. 11(5): 563-587 (2011) - [j21]Luis David García-Puente, Frank Sottile, Chungang Zhu:
Toric degenerations of Bézier patches. ACM Trans. Graph. 30(5): 110:1-110:10 (2011) - [c7]Frank Sottile, Chungang Zhu:
Injectivity of 2D Toric Bézier Patches. CAD/Graphics 2011: 235-238 - [i7]Frank Sottile, Chungang Zhu:
Injectivity of 2D Toric Bézier Patches. CoRR abs/1106.2877 (2011) - 2010
- [j20]Luis David García-Puente, Frank Sottile:
Linear precision for parametric patches. Adv. Comput. Math. 33(2): 191-214 (2010) - [j19]Marco Longinetti, Luca Sgheri, Frank Sottile:
Convex Hulls of Orbits and Orientations of a Moving Protein Domain. Discret. Comput. Geom. 43(1): 54-77 (2010) - [j18]Hans-Christian Graf von Bothmer, Kristian Ranestad, Frank Sottile:
Linear Precision for Toric Surface Patches. Found. Comput. Math. 10(1): 37-66 (2010) - [j17]Stefan Forcey, Aaron Lauve, Frank Sottile:
Hopf Structures on the Multiplihedra. SIAM J. Discret. Math. 24(4): 1250-1271 (2010) - [c6]Frank Sottile, Ravi Vakil, Jan Verschelde:
Solving schubert problems with Littlewood-Richardson homotopies. ISSAC 2010: 179-186 - [i6]Luis David García-Puente, Frank Sottile, Chungang Zhu:
Toric degenerations of Bezier patches. CoRR abs/1006.4903 (2010) - [i5]Jonathan D. Hauenstein, Frank Sottile:
alphaCertified: certifying solutions to polynomial systems. CoRR abs/1011.1091 (2010)
2000 – 2009
- 2009
- [j16]Anton Leykin, Frank Sottile:
Galois groups of Schubert problems via homotopy computation. Math. Comput. 78(267): 1749-1765 (2009) - 2008
- [c5]Gheorghe Craciun, Luis David García-Puente, Frank Sottile:
Some Geometrical Aspects of Control Points for Toric Patches. MMCS 2008: 111-135 - 2007
- [j15]Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, Frank Sottile:
Lines Tangent to Four Triangles in Three-Dimensional Space. Discret. Comput. Geom. 37(3): 369-380 (2007) - [j14]Matthias Beck, Frank Sottile:
Irrational proofs for three theorems of Stanley. Eur. J. Comb. 28(1): 403-409 (2007) - [c4]Anton Leykin, Frank Sottile:
Computing monodromy via parallel homotopy continuation. PASCO 2007: 97-98 - 2006
- [j13]James Ruffo, Yuval Sivan, Evgenia Soprunova, Frank Sottile:
Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds. Exp. Math. 15(2): 199-221 (2006) - 2005
- [j12]Gábor Megyesi, Frank Sottile:
The Envelope of Lines Meeting a Fixed Line and Tangent to Two Spheres. Discret. Comput. Geom. 33(4): 617-644 (2005) - [j11]Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides:
Transversals to Line Segments in Three-Dimensional Space. Discret. Comput. Geom. 34(3): 381-390 (2005) - 2004
- [c3]Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, Frank Sottile:
On the number of line tangents to four triangles in three-dimensional space. CCCG 2004: 184-187 - 2003
- [j10]Gábor Megyesi, Frank Sottile, Thorsten Theobald:
Common Transversals and Tangents to Two Lines and Two Quadrics in P. Discret. Comput. Geom. 30(4): 543-571 (2003) - [c2]Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides:
Transversals to line segments in R3. CCCG 2003: 174-177 - [i4]Gábor Megyesi, Frank Sottile:
The envelope of lines meeting a fixed line that are tangent to two spheres. CoRR math.AG/0304346 (2003) - [i3]Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides:
The number of transversals to line segments in R^3. CoRR math.MG/0306401 (2003) - 2002
- [j9]Jesús A. De Loera, Frank Sottile, Bernd Sturmfels:
Guest Editors' Foreword. Discret. Comput. Geom. 27(1): 1-2 (2002) - [j8]Nantel Bergeron, Stefan Mykytiuk, Frank Sottile, Stephanie van Willigenburg:
Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Discret. Math. 246(1-3): 57-66 (2002) - [i2]Gábor Megyesi, Frank Sottile, Thorsten Theobald:
Common transversals and tangents to two lines and two quadrics in P3. CoRR math.AG/0206044 (2002) - [i1]Frank Sottile:
Toric ideals, real toric varieties, and the moment map. CoRR math.AG/0212044 (2002) - 2001
- [j7]Tom Roby, Frank Sottile, Jeffrey Stroomer, Julian West:
Complementary Algorithms for Tableaux. J. Comb. Theory A 96(1): 127-161 (2001) - [c1]Frank Sottile:
Enumerative Real Algebraic Geometry. Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science 2001: 139-179 - 2000
- [j6]Nantel Bergeron, Ian P. Goulden, Frank Sottile:
Preface. Discret. Math. 225(1-3): 1- (2000) - [j5]Frank Sottile:
Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro. Exp. Math. 9(2): 161-182 (2000) - [j4]Nantel Bergeron, Stefan Mykytiuk, Frank Sottile, Stephanie van Willigenburg:
Noncommutative Pieri Operators on Posets. J. Comb. Theory A 91(1-2): 84-110 (2000)
1990 – 1999
- 1999
- [j3]Nantel Bergeron, Frank Sottile:
A Monoid for the Grassmannian Bruhat Order. Eur. J. Comb. 20(3): 197-211 (1999) - 1998
- [j2]Birkett Huber, Frank Sottile, Bernd Sturmfels:
Numerical Schubert Calculus. J. Symb. Comput. 26(6): 767-788 (1998) - 1996
- [j1]Georgia Benkart, Frank Sottile, Jeffrey Stroomer:
Tableau Switching: Algorithms and Applications. J. Comb. Theory A 76(1): 11-43 (1996)
Coauthor Index
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from 
to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the 
of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from 
, 
, and 
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from 
.
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-10-07 21:15 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by:
