default search action
Frank 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
Books and Theses
- 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
Journal Articles
- 2023
- [j41]Michael Burr, Frank Sottile, Elise Walker:
Numerical homotopies from Khovanskii bases. Math. Comput. 92(343): 2333-2353 (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
Certification for polynomial systems via square subsystems. J. Symb. Comput. 109: 367-385 (2022) - 2021
- [j37]Jonathan D. Hauenstein
A numerical toolkit for multiprojective varieties. Math. Comput. 90(327): 413-440 (2021) - [j36]Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Math. Comput. 90(329): 1407-1433 (2021) - [j35]Taylor Brysiewicz
Solving decomposable sparse systems. Numer. Algorithms 88(1): 453-474 (2021) - 2020
- [j34]Michael DiPasquale
Bivariate semialgebraic splines. J. Approx. Theory 254: 105392 (2020) - 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
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
Degenerations of real irrational toric varieties. J. Lond. Math. Soc. 92(2): 223-241 (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
The Secant Conjecture in the Real Schubert Calculus. Exp. Math. 21(3): 252-265 (2012) - [j23]Jonathan D. Hauenstein
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems. ACM Trans. Math. Softw. 38(4): 28:1-28:20 (2012) - 2011
- [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
Toric degenerations of Bézier patches. ACM Trans. Graph. 30(5): 110:1-110:10 (2011) - 2010
- [j20]Luis David García-Puente
Linear precision for parametric patches. Adv. Comput. Math. 33(2): 191-214 (2010) - [j19]Marco Longinetti, Luca Sgheri
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
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) - 2009
- [j16]Anton Leykin, Frank Sottile:
Galois groups of Schubert problems via homotopy computation. Math. Comput. 78(267): 1749-1765 (2009) - 2007
- [j15]Hervé Brönnimann, Olivier Devillers
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) - 2006
- [j13]James Ruffo, Yuval Sivan, Evgenia Soprunova
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) - 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) - 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) - 2001
- [j7]Tom Roby, Frank Sottile, Jeffrey Stroomer, Julian West:
Complementary Algorithms for Tableaux. J. Comb. Theory A 96(1): 127-161 (2001) - 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) - 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)
Conference and Workshop Papers
- 2020
- [c8]Frank Sottile:
General witness sets for numerical algebraic geometry. ISSAC 2020: 418-425 - 2011
- [c7]Frank Sottile, Chungang Zhu:
Injectivity of 2D Toric Bézier Patches. CAD/Graphics 2011: 235-238 - 2010
- [c6]Frank Sottile, Ravi Vakil, Jan Verschelde:
Solving schubert problems with Littlewood-Richardson homotopies. ISSAC 2010: 179-186 - 2008
- [c5]Gheorghe Craciun, Luis David García-Puente, Frank Sottile:
Some Geometrical Aspects of Control Points for Toric Patches. MMCS 2008: 111-135 - 2007
- [c4]Anton Leykin, Frank Sottile:
Computing monodromy via parallel homotopy continuation. PASCO 2007: 97-98 - 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
- [c2]Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides:
Transversals to line segments in R3. CCCG 2003: 174-177 - 2001
- [c1]Frank Sottile:
Enumerative Real Algebraic Geometry. Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science 2001: 139-179
Informal and Other Publications
- 2023
- [i12]Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile:
Numerical Nonlinear Algebra. CoRR abs/2302.08585 (2023) - 2020
- [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) - 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) - 2011
- [i7]Frank Sottile, Chungang Zhu:
Injectivity of 2D Toric Bézier Patches. CoRR abs/1106.2877 (2011) - 2010
- [i6]Luis David García-Puente
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) - 2003
- [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
- [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)
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 2025-07-23 20:24 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: