![](https://dblp.uni-trier.de/img/logo.ua.320x120.png)
![](https://dblp.uni-trier.de/img/dropdown.dark.16x16.png)
![](https://dblp.uni-trier.de/img/peace.dark.16x16.png)
Остановите войну!
for scientists:
![search dblp search dblp](https://dblp.uni-trier.de/img/search.dark.16x16.png)
![search dblp](https://dblp.uni-trier.de/img/search.dark.16x16.png)
default search action
Andrew J. Sommese
Person information
- affiliation: University of Notre Dame, USA
Refine list
![note](https://dblp.uni-trier.de/img/note-mark.dark.12x12.png)
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
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
![](https://dblp.uni-trier.de/img/cog.dark.24x24.png)
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from ,
, and
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and
to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-04-24 22:50 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint