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ORCIDAndrew J. Sommese
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- affiliation: University of Notre Dame, USA
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Books and Theses
- 2013
[b2]Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler:
Numerically Solving Polynomial Systems with Bertini. Software, environments, tools 25, SIAM 2013, ISBN 978-1-611972-69-6, pp. I-XX, 1-352- 2005
- [b1]Andrew J. Sommese, Charles W. Wampler II:
The numerical solution of systems of polynomials - arising in engineering and science. World Scientific 2005, ISBN 978-981-256-184-8, pp. I-XXII, 1-401
Journal Articles
- 2019
- [j36]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): 507-522 (2019) - 2017
- [j35]Maria-Laura Torrente, Mauro Carlo Beltrametti, Andrew J. Sommese:
Perturbation results on the zero-locus of a polynomial. J. Symb. Comput. 80: 307-328 (2017) - [j34]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): 10:1-10:30 (2017) - 2014
- [j33]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: 619-633 (2014) - [j32]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: 181-190 (2014) - 2013
- [j31]Jonathan D. Hauenstein, Andrew J. Sommese:
Membership tests for images of algebraic sets by linear projections. Appl. Math. Comput. 219(12): 6809-6818 (2013) - [j30]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): 38-50 (2013) - [j29]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): 326-334 (2013) - [j28]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: 332-346 (2013) - [j27]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): 350-365 (2013) - [j26]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): 645-678 (2013) - [j25]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): 5:1-5:16 (2013) - 2012
- [j24]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): 395-413 (2012) - 2011
- [j23]Charles W. Wampler, Andrew J. Sommese:
Numerical algebraic geometry and algebraic kinematics. Acta Numer. 20: 469-567 (2011) - [j22]Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Regenerative cascade homotopies for solving polynomial systems. Appl. Math. Comput. 218(4): 1240-1246 (2011) - [j21]Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese:
A three-dimensional steady-state tumor system. Appl. Math. Comput. 218(6): 2661-2669 (2011) - [j20]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): 23-33 (2011) - [j19]Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Regeneration homotopies for solving systems of polynomials. Math. Comput. 80(273): 345-377 (2011) - [j18]Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese:
Efficient path tracking methods. Numer. Algorithms 58(4): 451-459 (2011) - 2010
- [j17]Sandra Di Rocco, David Eklund, Andrew J. Sommese, Charles W. Wampler:
Algebraic C*-actions and the inverse kinematics of a general 6R manipulator. Appl. Math. Comput. 216(9): 2512-2524 (2010) - [j16]Jonathan D. Hauenstein, Andrew J. Sommese:
Witness sets of projections. Appl. Math. Comput. 217(7): 3349-3354 (2010) - 2009
- [j15]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): 3608-3623 (2009) - 2008
- [j14]Andrew J. Sommese, Charles W. Wampler:
Exceptional Sets and Fiber Products. Found. Comput. Math. 8(2): 171-196 (2008) - [j13]Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Adaptive Multiprecision Path Tracking. SIAM J. Numer. Anal. 46(2): 722-746 (2008) - 2006
- [j12]Eugene L. Allgower, Derrick J. Bates, Andrew J. Sommese, Charles W. Wampler:
Solution of Polynomial Systems Derived from Differential Equations. Computing 76(1-2): 1-10 (2006) - [j11]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): 475-489 (2006) - 2005
- [j10]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
An intrinsic homotopy for intersecting algebraic varieties. J. Complex. 21(4): 593-608 (2005) - 2004
- [j9]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Homotopies for Intersecting Solution Components of Polynomial Systems. SIAM J. Numer. Anal. 42(4): 1552-1571 (2004) - [j8]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical factorization of multivariate complex polynomials. Theor. Comput. Sci. 315(2-3): 651-669 (2004) - 2002
- [j7]Eugene L. Allgower, Andrew J. Sommese:
Piecewise Linear Approximation of Smooth Compact Fibers. J. Complex. 18(2): 547-556 (2002) - [j6]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. SIAM J. Numer. Anal. 40(6): 2026-2046 (2002) - 2001
- [j5]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): 2022-2046 (2001) - 2000
- [j4]Andrew J. Sommese, Jan Verschelde:
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. J. Complex. 16(3): 572-602 (2000) - [j3]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): 176-200 (2000) - 1993
- [j2]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): 682 (1993) - 1989
- [j1]Alexander P. Morgan, Andrew J. Sommese, Layne T. Watson:
Finding all isolated solutions to polynomial systems using HOMPACK. ACM Trans. Math. Softw. 15(2): 93-122 (1989)
Conference and Workshop Papers
- 2018
- [c6]Andrew J. Sommese:
Polynomial Systems Arising From Discretizing Systems of Nonlinear Differential Equations. ISSAC 2018: 7-9 - 2017
- [c5]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: 107-120 - 2015
- [c4]Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese:
Numerical Local Irreducible Decomposition. MACIS 2015: 124-129 - 2014
- [c3]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: 175-182 - [c2]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: 246-252 - 2003
- [c1]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical Irreducible Decomposition Using PHCpack. Algebra, Geometry, and Software Systems 2003: 109-129
Editorship
- 2016
- [e1]Gert-Martin Greuel, Thorsten Koch, Peter Paule, Andrew J. Sommese:
Mathematical Software - ICMS 2016 - 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings. Lecture Notes in Computer Science 9725, Springer 2016, ISBN 978-3-319-42431-6 [contents]
Coauthor Index
aka: Charles W. Wampler II
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