Some of my preprints

    Submitted (in reverse chronological order by initial submission date)

  1. D. Bates, J. Hauenstein, and A. Sommese,
    Efficient endgames and path tracking methods (dvi, ps, pdf).
    A version of this article has been submitted.

  2. D. Bates and F. Sottile,
    Khovanskii-Rolle continuation for real solutions (dvi, ps, pdf).
    A version of this article has been submitted.

  3. P. Rostalski, I. Fotiou, D. Bates, A. Beccuti, and M. Morari,
    Numerical algebraic geometry for optimal control applications.
    A version of this article has been submitted.

  4. Daniel J. Bates, Chris Peterson, Andrew J. Sommese, and Charles W. Wampler,
    Numerical computation of the genus of an irreducible curve within an algebraic set (dvi, ps, pdf).
    A version of this article has been submitted.

    Accepted or appeared (in reverse chronological order by date of acceptance)

  5. D. Bates, J. Hauenstein, C. Peterson, and A. Sommese,
    A local dimension test for numerically approximated points on algebraic sets. (dvi, ps, pdf).
    To appear in SIAM Journal on Numerical Analysis.

  6. D. Bates, J. Hauenstein, C. Peterson, and A. Sommese,
    Numerical decomposition of the rank-deficiency set of a polynomial matrix. (dvi, ps, pdf).
    To appear in Approximate Commutative Algebra in the series Texts and Monographs in Symbolic Computation.

  7. D. Bates, J. Hauenstein, A. Sommese, and C. Wampler.
    Stepsize control for adaptive multiprecision path tracking. (dvi, ps, pdf).
    To appear in Contemporary Mathematics.

  8. Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, and Manfred Morari,
    An optimal control application in power electronics using numerical algebraic geometry (abstract).
    A version of this article has been accepted to the 2008 American Control Conference (ACC 2008).

  9. Daniel J. Bates, Ioannis A. Fotiou, and Philipp Rostalski,
    A numerical algebraic geometry approach to nonlinear constrained optimal control (abstract).
    A version of this article has been accepted to the 2007 IEEE Conference on Decision and Control.

  10. Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
    Multiprecision path tracking (dvi, ps, pdf).
    A version of this article will appear in SIAM Journal on Numerical Analysis.

  11. Daniel J. Bates, Chris Peterson, and Andrew J. Sommese,
    Applications of numerical terracini's lemma (dvi, ps, pdf).
    A version of this article will appear in IMA Volumes in Mathematics and its Applications.

  12. 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 will appear in IMA Volumes in Mathematics and its Applications.

  13. Ye Lu, Daniel J. Bates, Andrew J. Sommese, and Charles W. Wampler,
    Finding all real points of a complex curve (dvi, ps, pdf).
    A version of this article will appear in Contemporary Mathematics.

  14. Daniel J. Bates, Frédéric Bihan, and Frank Sottile,
    Bounds on the number of real solutions to polynomial equations (pdf).
    This article appeared in International Mathematics Research Notices, 2007(114):rnm114-7.

  15. Daniel J. Bates, Chris Peterson, and Andrew J. Sommese,
    A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set (dvi, ps, pdf).
    A version of this article appeared in Journal of Complexity, 22(4): 475-489, 2006.

  16. Eugene L. Allgower, Daniel J. Bates, Andrew J. Sommese, and Charles W. Wampler,
    Solution of polynomial systems derived from differential equations (dvi, ps, pdf).
    A version of this article appeared in Computing, 76(1-2): 1-10, 2006.

My thesis