Preprints

1. Daniel J. Bates, Jonathan D. Hauenstein, and Andrew J. Sommese,
   Efficient endgames and path tracking methods (pdf).
   

2. Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
   Regeneration homotopies for solving systems of polynomials (dvi, ps, pdf).
   

3. Yuan Liu, Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese, and Yong-Tao Zhang,
   Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning (pdf).
   A version of this article will appear in Discrete and Continuous Dynamical Systems - Series S.

4. Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, and Andrew J. Sommese,
   A numerical local dimension test for points on the solution set of a system of polynomial equations (dvi, ps, pdf).
   This article appeared in SIAM Journal on Numerical Analysis, 47(5), 3608-3623, 2009.

5. Jonathan D. Hauenstein, Juan C. Migliore, Chris Peterson, and Andrew J. Sommese,
   Numerical computation of the dimensions of the cohomology of twists of ideal sheaves (dvi, ps, pdf).
   A version of this article appeared in Contemporary Mathematics 496, 235-242, 2009.

6. Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
   Stepsize control for adaptive multiprecision path tracking (dvi, ps, pdf).
   A version of this article appeared in Contemporary Mathematics 496, 21-31, 2009.

7. Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, and Andrew J. Sommese,
   Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials (dvi, ps, pdf).
   A version of this article will appear in Approximate Commutative Algebra, edited by Lorenzo Robbiano and
   John Abbott, a volume of Texts and Monographs in Symbolic Computation, 2009, Springer Verlag.

8. Ashraf N. Al-Khateeb, Joseph M. Powers, Samuel Paolucci, Andrew J. Sommese, Jeffrey A. Diller, Jonathan D. Hauenstein, and Joshua D. Mengers,
   One-dimensional slow invariant manifolds for spatially homogeneous reactive systems (pdf).
   A version of this article appeared in Journal of Chemical Physics, 131(2), 024118, 2009.

9. Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
   Software for numerical algebraic geometry: a paradigm and progress towards its implementation (dvi, ps, pdf).
   A version of this article appeared in Software for Algebraic Geometry, edited by M.E. Stillman, N. Takayama,
   and J. Verschelde, volume 148 of IMA Volumes in Mathematics and its Applications, 1-14, 2008, Springer Verlag.

10. Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
    Adaptive multiprecision path tracking (dvi, ps, pdf).
    This article appeared in SIAM Journal on Numerical Analysis, 46(2), 722-746, 2008.

Dissertation

Jonathan D. Hauenstein,
Regeneration, local dimension, and applications in numerical algebraic geometry (pdf),
Ph.D. thesis, University of Notre Dame, Notre Dame, Indiana, April 2009.

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