According to our database
1,
Frank Sottile
authored at least 57 papers
between 1996 and 2023.
Collaborative distances:
2023
Numerical homotopies from Khovanskii bases.
Math. Comput., April, 2023
Numerical Nonlinear Algebra.
CoRR, 2023
2022
Certification for polynomial systems via square subsystems.
J. Symb. Comput., 2022
Euclidean Distance Degree and Mixed Volume.
Found. Comput. Math., 2022
Irrational Toric Varieties and Secondary Polytopes.
Discret. Comput. Geom., 2022
2021
Solving decomposable sparse systems.
Numer. Algorithms, 2021
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm.
Math. Comput., 2021
A numerical toolkit for multiprojective varieties.
Math. Comput., 2021
2020
Bivariate semialgebraic splines.
J. Approx. Theory, 2020
Decomposable sparse polynomial systems.
CoRR, 2020
General witness sets for numerical algebraic geometry.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020
2018
Numerical Computation of Galois Groups.
Found. Comput. Math., 2018
2017
Comput. Aided Geom. Des., 2017
2016
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.
Numer. Algorithms, 2016
A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus.
Found. Comput. Math., 2016
2015
Degenerations of real irrational toric varieties.
J. Lond. Math. Soc., 2015
The Monotone Secant Conjecture in the Real Schubert Calculus.
Exp. Math., 2015
2014
Newton Polytopes and Witness Sets.
Math. Comput. Sci., 2014
2013
Complex Static Skew-Symmetric Output Feedback Control.
SIAM J. Control. Optim., 2013
Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties.
Discret. Comput. Geom., 2013
2012
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems.
ACM Trans. Math. Softw., 2012
The Secant Conjecture in the Real Schubert Calculus.
Exp. Math., 2012
2011
Toric degenerations of Bézier patches.
ACM Trans. Graph., 2011
Khovanskii-Rolle Continuation for Real Solutions.
Found. Comput. Math., 2011
Injectivity of 2D Toric Bézier Patches.
Proceedings of the 12th International Conference on Computer-Aided Design and Computer Graphics, 2011
Real Solutions to Equations from Geometry.
University lecture series 57, American Mathematical Society, ISBN: 978-0-8218-5331-3, 2011
2010
Hopf Structures on the Multiplihedra.
SIAM J. Discret. Math., 2010
Linear Precision for Toric Surface Patches.
Found. Comput. Math., 2010
Convex Hulls of Orbits and Orientations of a Moving Protein Domain.
Discret. Comput. Geom., 2010
alphaCertified: certifying solutions to polynomial systems
CoRR, 2010
Linear precision for parametric patches.
Adv. Comput. Math., 2010
Solving schubert problems with Littlewood-Richardson homotopies.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010
2009
Galois groups of Schubert problems via homotopy computation.
Math. Comput., 2009
2008
Some Geometrical Aspects of Control Points for Toric Patches.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2008
2007
Irrational proofs for three theorems of Stanley.
Eur. J. Comb., 2007
Lines Tangent to Four Triangles in Three-Dimensional Space.
Discret. Comput. Geom., 2007
Computing monodromy via parallel homotopy continuation.
Proceedings of the Parallel Symbolic Computation, 2007
2006
Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds.
Exp. Math., 2006
2005
The Envelope of Lines Meeting a Fixed Line and Tangent to Two Spheres.
Discret. Comput. Geom., 2005
Transversals to Line Segments in Three-Dimensional Space.
Discret. Comput. Geom., 2005
2004
On the number of line tangents to four triangles in three-dimensional space.
Proceedings of the 16th Canadian Conference on Computational Geometry, 2004
2003
Common Transversals and Tangents to Two Lines and Two Quadrics in P.
Discret. Comput. Geom., 2003
The number of transversals to line segments in R^3
CoRR, 2003
The envelope of lines meeting a fixed line that are tangent to two spheres
CoRR, 2003
Transversals to line segments in R<sup>3</sup>.
Proceedings of the 15th Canadian Conference on Computational Geometry, 2003
2002
Shifted quasi-symmetric functions and the Hopf algebra of peak functions.
Discret. Math., 2002
Discret. Comput. Geom., 2002
Toric ideals, real toric varieties, and the moment map
CoRR, 2002
Common transversals and tangents to two lines and two quadrics in P<sup>3</sup>
CoRR, 2002
2001
Complementary Algorithms for Tableaux.
J. Comb. Theory, Ser. A, 2001
Enumerative Real Algebraic Geometry.
Proceedings of the Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001
2000
Noncommutative Pieri Operators on Posets.
J. Comb. Theory, Ser. A, 2000
Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro.
Exp. Math., 2000
1999
A Monoid for the Grassmannian Bruhat Order.
Eur. J. Comb., 1999
1998
Numerical Schubert Calculus.
J. Symb. Comput., 1998
1996
Tableau Switching: Algorithms and Applications.
J. Comb. Theory, Ser. A, 1996
