Andrew J. Sommese

46 papers B 1Journal 37Unranked 5
YearRankTypeTitle / Venue / Authors
2025 J jnl
Branch points of homotopies: Distribution and probability of failure.
Appl. Math. Comput.
Jonathan D. Hauenstein, Caroline Hills, Andrew J. Sommese, Charles W. Wampler
2019 J jnl
Singular Value Decomposition of Complexes.
SIAM J. Appl. Algebra Geom.
Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, Michael Eugene Stillman
2018 B conf
Polynomial Systems Arising From Discretizing Systems of Nonlinear Differential Equations.
ISSAC
Andrew J. Sommese
2017 J jnl
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.
ACM Trans. Math. Softw.
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2017 — conf
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets.
MACIS
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2017 J jnl
Perturbation results on the zero-locus of a polynomial.
J. Symb. Comput.
Maria-Laura Torrente, Mauro Carlo Beltrametti, Andrew J. Sommese
2016 — ed.
Mathematical Software - ICMS 2016 - 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings
ICMS
Gert-Martin Greuel, Thorsten Koch, Peter Paule, Andrew J. Sommese
2015 — conf
Numerical Local Irreducible Decomposition.
MACIS
Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese
2014 J jnl
A bootstrapping approach for computing multiple solutions of differential equations.
J. Comput. Appl. Math.
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese
2014 — conf
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets.
ICMS
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2014 J jnl
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety.
Appl. Math. Comput.
Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler
2014 — conf
On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities.
ICMS
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2013 J jnl
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws.
J. Comput. Phys.
Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang
2013 J jnl
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems.
ACM Trans. Math. Softw.
Wenrui Hao, Andrew J. Sommese, Zhonggang Zeng
2013 J jnl
Cell Cycle Control and Bifurcation for a Free Boundary Problem Modeling Tissue Growth.
J. Sci. Comput.
Wenrui Hao, Bei Hu, Andrew J. Sommese
2013 J jnl
Cell decomposition of almost smooth real algebraic surfaces.
Numer. Algorithms
GianMario Besana, Sandra Di Rocco, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2013 J jnl
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation.
J. Comput. Appl. Math.
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy M. McCoy, Andrew J. Sommese
2013 J jnl
Membership tests for images of algebraic sets by linear projections.
Appl. Math. Comput.
Jonathan D. Hauenstein, Andrew J. Sommese
2013 — book
Numerically Solving Polynomial Systems with Bertini.
Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler
2013 J jnl
Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry.
Exp. Math.
Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese
2012 J jnl
Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core.
J. Sci. Comput.
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang
2011 J jnl
A three-dimensional steady-state tumor system.
Appl. Math. Comput.
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese
2011 J jnl
Chern numbers of smooth varieties via homotopy continuation and intersection theory.
J. Symb. Comput.
Sandra Di Rocco, David Eklund, Chris Peterson, Andrew J. Sommese
2011 J jnl
Efficient path tracking methods.
Numer. Algorithms
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese
2011 J jnl
Numerical algebraic geometry and algebraic kinematics.
Acta Numer.
Charles W. Wampler, Andrew J. Sommese
2011 J jnl
Regeneration homotopies for solving systems of polynomials.
Math. Comput.
Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2011 J jnl
Regenerative cascade homotopies for solving polynomial systems.
Appl. Math. Comput.
Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2010 J jnl
Algebraic C
Appl. Math. Comput.
Sandra Di Rocco, David Eklund, Andrew J. Sommese, Charles W. Wampler
2010 J jnl
Witness sets of projections.
Appl. Math. Comput.
Jonathan D. Hauenstein, Andrew J. Sommese
2009 J jnl
A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations.
SIAM J. Numer. Anal.
Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
2008 J jnl
Adaptive Multiprecision Path Tracking.
SIAM J. Numer. Anal.
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2008 J jnl
Exceptional Sets and Fiber Products.
Found. Comput. Math.
Andrew J. Sommese, Charles W. Wampler
2006 J jnl
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set.
J. Complex.
Daniel J. Bates, Chris Peterson, Andrew J. Sommese
2006 J jnl
Solution of Polynomial Systems Derived from Differential Equations.
Computing
Eugene L. Allgower, Derrick J. Bates, Andrew J. Sommese, Charles W. Wampler
2005 J jnl
An intrinsic homotopy for intersecting algebraic varieties.
J. Complex.
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2005 — book
The numerical solution of systems of polynomials - arising in engineering and science.
Andrew J. Sommese, Charles W. Wampler II
2004 J jnl
Homotopies for Intersecting Solution Components of Polynomial Systems.
SIAM J. Numer. Anal.
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2004 J jnl
Numerical factorization of multivariate complex polynomials.
Theor. Comput. Sci.
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2003 — conf
Numerical Irreducible Decomposition Using PHCpack.
Algebra, Geometry, and Software Systems
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2002 J jnl
Piecewise Linear Approximation of Smooth Compact Fibers.
J. Complex.
Eugene L. Allgower, Andrew J. Sommese
2002 J jnl
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems.
SIAM J. Numer. Anal.
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2001 J jnl
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components.
SIAM J. Numer. Anal.
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
2000 J jnl
Algorithm 801: POLSYS_PLP: a partitioned linear product homotopy code for solving polynomial systems of equations.
ACM Trans. Math. Softw.
Steven M. Wise, Andrew J. Sommese, Layne T. Watson
2000 J jnl
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets.
J. Complex.
Andrew J. Sommese, Jan Verschelde
1993 J jnl
Ideals, Varieties, and Algorithms-An Introduction to Computational Algebraic Geometry and Commutative Algebra (D. Cox, J. Little, and D. O'Shea).
SIAM Rev.
Andrew J. Sommese
1989 J jnl
Finding all isolated solutions to polynomial systems using HOMPACK.
ACM Trans. Math. Softw.
Alexander P. Morgan, Andrew J. Sommese, Layne T. Watson