Andrew J. Sommese

Publication Activity (10 Years)

Years Active: 1989-2019
Publications (10 Years): 5

Top Topics

Algebraic Curves

Singular Value Decomposition

Top Venues

J. Comput. Appl. Math.

ACM Trans. Math. Softw.

Appl. Math. Comput.

Publications

Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, Michael Eugene Stillman
Singular Value Decomposition of Complexes. SIAM J. Appl. Algebra Geom. 3 (3) (2019)
Andrew J. Sommese
Polynomial Systems Arising From Discretizing Systems of Nonlinear Differential Equations. ISSAC (2018)
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces. ACM Trans. Math. Softw. 44 (1) (2017)
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets. MACIS (2017)
Maria-Laura Torrente, Mauro Carlo Beltrametti, Andrew J. Sommese
Perturbation results on the zero-locus of a polynomial. J. Symb. Comput. 80 (2017)
Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese
Numerical Local Irreducible Decomposition. MACIS (2015)
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese
A bootstrapping approach for computing multiple solutions of differential equations. J. Comput. Appl. Math. 258 (2014)
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets. ICMS (2014)
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities. ICMS (2014)
Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Appl. Math. Comput. 231 (2014)
Wenrui Hao, Bei Hu, Andrew J. Sommese
Cell Cycle Control and Bifurcation for a Free Boundary Problem Modeling Tissue Growth. J. Sci. Comput. 56 (2) (2013)
Jonathan D. Hauenstein, Andrew J. Sommese
Membership tests for images of algebraic sets by linear projections. Appl. Math. Comput. 219 (12) (2013)
Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. 250 (2013)
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy M. McCoy, Andrew J. Sommese
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. J. Comput. Appl. Math. 237 (1) (2013)
Wenrui Hao, Andrew J. Sommese, Zhonggang Zeng
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. ACM Trans. Math. Softw. 40 (1) (2013)
Gian Mario Besana, Sandra Di Rocco, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Cell decomposition of almost smooth real algebraic surfaces. Numer. Algorithms 63 (4) (2013)
Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese
Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry. Exp. Math. 22 (1) (2013)
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang
Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core. J. Sci. Comput. 53 (2) (2012)
Sandra Di Rocco, David Eklund, Chris Peterson, Andrew J. Sommese
Chern numbers of smooth varieties via homotopy continuation and intersection theory. J. Symb. Comput. 46 (1) (2011)
Charles W. Wampler, Andrew J. Sommese
Numerical algebraic geometry and algebraic kinematics. Acta Numer. 20 (2011)
Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese
A three-dimensional steady-state tumor system. Appl. Math. Comput. 218 (6) (2011)
Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Regeneration homotopies for solving systems of polynomials. Math. Comput. 80 (273) (2011)
Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Regenerative cascade homotopies for solving polynomial systems. Appl. Math. Comput. 218 (4) (2011)
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese
Efficient path tracking methods. Numer. Algorithms 58 (4) (2011)
Sandra Di Rocco, David Eklund, Andrew J. Sommese, Charles W. Wampler
-actions and the inverse kinematics of a general 6R manipulator. Appl. Math. Comput. 216 (9) (2010)
Jonathan D. Hauenstein, Andrew J. Sommese
Witness sets of projections. Appl. Math. Comput. 217 (7) (2010)
Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations. SIAM J. Numer. Anal. 47 (5) (2009)
Andrew J. Sommese, Charles W. Wampler
Exceptional Sets and Fiber Products. Found. Comput. Math. 8 (2) (2008)
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Adaptive Multiprecision Path Tracking. SIAM J. Numer. Anal. 46 (2) (2008)
Daniel J. Bates, Chris Peterson, Andrew J. Sommese
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. J. Complex. 22 (4) (2006)
Eugene L. Allgower, Derrick J. Bates, Andrew J. Sommese, Charles W. Wampler
Solution of Polynomial Systems Derived from Differential Equations. Computing 76 (1-2) (2006)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
An intrinsic homotopy for intersecting algebraic varieties. J. Complex. 21 (4) (2005)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Homotopies for Intersecting Solution Components of Polynomial Systems. SIAM J. Numer. Anal. 42 (4) (2004)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Numerical factorization of multivariate complex polynomials. Theor. Comput. Sci. 315 (2-3) (2004)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Numerical Irreducible Decomposition Using PHCpack. Algebra, Geometry, and Software Systems (2003)
Eugene L. Allgower, Andrew J. Sommese
Piecewise Linear Approximation of Smooth Compact Fibers. J. Complex. 18 (2) (2002)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. SIAM J. Numer. Anal. 40 (6) (2002)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components. SIAM J. Numer. Anal. 38 (6) (2001)
Steven M. Wise, Andrew J. Sommese, Layne T. Watson
Algorithm 801: POLSYS_PLP: a partitioned linear product homotopy code for solving polynomial systems of equations. ACM Trans. Math. Softw. 26 (1) (2000)
Andrew J. Sommese, Jan Verschelde
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. J. Complex. 16 (3) (2000)
Andrew J. Sommese
Ideals, Varieties, and Algorithms-An Introduction to Computational Algebraic Geometry and Commutative Algebra (D. Cox, J. Little, and D. O'Shea). SIAM Rev. 35 (4) (1993)
Alexander P. Morgan, Andrew J. Sommese, Layne T. Watson
Finding all isolated solutions to polynomial systems using HOMPACK. ACM Trans. Math. Softw. 15 (2) (1989)