Frank Sottile

According to our database, Frank Sottile authored at least 57 papers between 1996 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

Numerical homotopies from Khovanskii bases.

Michael Burr, Frank Sottile, Elise Walker

Math. Comput., April, 2023

Numerical Nonlinear Algebra.

Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile

CoRR, 2023

2022

Certification for polynomial systems via square subsystems.

Timothy Duff, Nickolas Hein, Frank Sottile

J. Symb. Comput., 2022

Euclidean Distance Degree and Mixed Volume.

Paul Breiding, Frank Sottile, James Woodcock

Found. Comput. Math., 2022

Irrational Toric Varieties and Secondary Polytopes.

Ata Firat Pir, Frank Sottile

Discret. Comput. Geom., 2022

2021

Solving decomposable sparse systems.

Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl

Numer. Algorithms, 2021

Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm.

Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde

Math. Comput., 2021

A numerical toolkit for multiprojective varieties.

Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez, Frank Sottile

Math. Comput., 2021

2020

Bivariate semialgebraic splines.

Michael DiPasquale, Frank Sottile

J. Approx. Theory, 2020

Decomposable sparse polynomial systems.

Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl

CoRR, 2020

General witness sets for numerical algebraic geometry.

Frank Sottile

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2018

Numerical Computation of Galois Groups.

Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile

Found. Comput. Math., 2018

2017

Semialgebraic splines.

Michael DiPasquale, Frank Sottile, Lan-Yin Sun

Comput. Aided Geom. Des., 2017

2016

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.

Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile

Numer. Algorithms, 2016

A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus.

Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile

Found. Comput. Math., 2016

2015

Degenerations of real irrational toric varieties.

Elisa Postinghel, Frank Sottile, Nelly Villamizar

J. Lond. Math. Soc., 2015

The Monotone Secant Conjecture in the Real Schubert Calculus.

Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, Frank Sottile, Zach Teitler

Exp. Math., 2015

2014

Newton Polytopes and Witness Sets.

Jonathan D. Hauenstein, Frank Sottile

Math. Comput. Sci., 2014

2013

Complex Static Skew-Symmetric Output Feedback Control.

Christopher J. Hillar, Frank Sottile

SIAM J. Control. Optim., 2013

Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties.

Evgenia Soprunova, Frank Sottile

Discret. Comput. Geom., 2013

2012

Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems.

Jonathan D. Hauenstein, Frank Sottile

ACM Trans. Math. Softw., 2012

The Secant Conjecture in the Real Schubert Calculus.

Luis David García-Puente, Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, James Ruffo, Frank Sottile, Zach Teitler

Exp. Math., 2012

2011

Toric degenerations of Bézier patches.

Luis David García-Puente, Frank Sottile, Chungang Zhu

ACM Trans. Graph., 2011

Khovanskii-Rolle Continuation for Real Solutions.

Daniel J. Bates, Frank Sottile

Found. Comput. Math., 2011

Injectivity of 2D Toric Bézier Patches.

Frank Sottile, Chungang Zhu

Proceedings of the 12th International Conference on Computer-Aided Design and Computer Graphics, 2011

Real Solutions to Equations from Geometry.

Frank Sottile

University lecture series 57, American Mathematical Society, ISBN: 978-0-8218-5331-3, 2011

2010

Hopf Structures on the Multiplihedra.

Stefan Forcey, Aaron Lauve, Frank Sottile

SIAM J. Discret. Math., 2010

Linear Precision for Toric Surface Patches.

Hans-Christian Graf von Bothmer, Kristian Ranestad, Frank Sottile

Found. Comput. Math., 2010

Convex Hulls of Orbits and Orientations of a Moving Protein Domain.

Marco Longinetti, Luca Sgheri, Frank Sottile

Discret. Comput. Geom., 2010

alphaCertified: certifying solutions to polynomial systems

Jonathan D. Hauenstein, Frank Sottile

CoRR, 2010

Linear precision for parametric patches.

Luis David García-Puente, Frank Sottile

Adv. Comput. Math., 2010

Solving schubert problems with Littlewood-Richardson homotopies.

Frank Sottile, Ravi Vakil, Jan Verschelde

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009

Galois groups of Schubert problems via homotopy computation.

Anton Leykin, Frank Sottile

Math. Comput., 2009

2008

Some Geometrical Aspects of Control Points for Toric Patches.

Gheorghe Craciun, Luis David García-Puente, Frank Sottile

Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007

Irrational proofs for three theorems of Stanley.

Matthias Beck, Frank Sottile

Eur. J. Comb., 2007

Lines Tangent to Four Triangles in Three-Dimensional Space.

Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, Frank Sottile

Discret. Comput. Geom., 2007

Computing monodromy via parallel homotopy continuation.

Anton Leykin, Frank Sottile

Proceedings of the Parallel Symbolic Computation, 2007

2006

Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds.

James Ruffo, Yuval Sivan, Evgenia Soprunova, Frank Sottile

Exp. Math., 2006

2005

The Envelope of Lines Meeting a Fixed Line and Tangent to Two Spheres.

Gábor Megyesi, Frank Sottile

Discret. Comput. Geom., 2005

Transversals to Line Segments in Three-Dimensional Space.

Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides

Discret. Comput. Geom., 2005

2004

On the number of line tangents to four triangles in three-dimensional space.

Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, Frank Sottile

Proceedings of the 16th Canadian Conference on Computational Geometry, 2004

2003

Common Transversals and Tangents to Two Lines and Two Quadrics in P.

Gábor Megyesi, Frank Sottile, Thorsten Theobald

Discret. Comput. Geom., 2003

The number of transversals to line segments in R^3

Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides

CoRR, 2003

The envelope of lines meeting a fixed line that are tangent to two spheres

Gábor Megyesi, Frank Sottile

CoRR, 2003

Transversals to line segments in R³.

Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides

Proceedings of the 15th Canadian Conference on Computational Geometry, 2003

2002

Shifted quasi-symmetric functions and the Hopf algebra of peak functions.

Nantel Bergeron, Stefan Mykytiuk, Frank Sottile, Stephanie van Willigenburg

Discret. Math., 2002

Guest Editors' Foreword.

Jesús A. De Loera, Frank Sottile, Bernd Sturmfels

Discret. Comput. Geom., 2002

Toric ideals, real toric varieties, and the moment map

Frank Sottile

CoRR, 2002

Common transversals and tangents to two lines and two quadrics in P³

Gábor Megyesi, Frank Sottile, Thorsten Theobald

CoRR, 2002

2001

Complementary Algorithms for Tableaux.

Tom Roby, Frank Sottile, Jeffrey Stroomer, Julian West

J. Comb. Theory A, 2001

Enumerative Real Algebraic Geometry.

Frank Sottile

Proceedings of the Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001

2000

Noncommutative Pieri Operators on Posets.

Nantel Bergeron, Stefan Mykytiuk, Frank Sottile, Stephanie van Willigenburg

J. Comb. Theory A, 2000

Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro.

Frank Sottile

Exp. Math., 2000

Preface.

Nantel Bergeron, Ian P. Goulden, Frank Sottile

Discret. Math., 2000

1999

A Monoid for the Grassmannian Bruhat Order.

Nantel Bergeron, Frank Sottile

Eur. J. Comb., 1999

1998

Numerical Schubert Calculus.

Birkett Huber, Frank Sottile, Bernd Sturmfels

J. Symb. Comput., 1998

1996

Tableau Switching: Algorithms and Applications.

Georgia Benkart, Frank Sottile, Jeffrey Stroomer

J. Comb. Theory A, 1996