MCS 595 Graduate Seminar, Spring 2006

This semester, we plan to meet again weekly in 712 SEO on Thursdays at 11AM. We continue our sequence of seminars we started in the Fall.
  1. Thu 12 Jan: Anton Leykin gave a preview of his talks in San Antonio on deflation methods.
  2. Tue 24 Jan: Anton Leykin on "Solving Polynomial Systems with Singular Solutions".
  3. Thu 26 Jan: we introduced ourselves to parallel polyhedral methods for solving polynomial systems, following the recent Report B-419 on "PHoMpara: Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems" by T. Gunji, S. Kim, K. Fujisawa, and M. Kojima.
  4. Thu 2 Feb: "Polyhedral Parallel Homotopy Methods". We continued our investigations in the parallel aspects of polyhedral homotopy methods, focusing on numerical instabilities which may be caused by large exponents induced by the lifting.
  5. Thu 9 Feb: Yan Zhuang on "Parallel Implementation of the Polyhedral Homotopy Method".
  6. Thu 16 Feb: Anton Leykin on "Decomposing Solution Sets of Polynomial Systems in Parallel" (preview of SIAM PP'06 talk).
  7. Thu 23 Feb: "parallel dynamic lifting algorithm". We proposed a distribution scheme of the simplices of a regular triangulation created by the dynamic lifting algorithm to search efficiently using n+1 processors, where n is the ambient dimension.
  8. Thu 2 Mar: no meeting; the meeting of the SIAM student chapter at 4PM today features a talk of Stanley Pliska.
  9. Thu 9 Mar: "recursive placeable subdivisions and dynamic path scheduling".
  10. Thu 30 Mar: Yan Zhuang gave a preview of her talk at the upcoming AMS meeting in Notre Dame on the "Parallel Implementation of the Polyhedral Homotopy Method".
  11. Thu 6 Apr: Ailing Zhao and Anton Leykin each gave a preview of their lecture at the upcoming AMS meeting in Notre Dame; in particular: Ailing Zhao on "Application of Newton's method with Deflation" and Anton Leykin on "Towards a local isolation test".
  12. Thu 13 Apr: Kathy Piret on "minimally extended systems for simple bifurcation points" (following Allgower and Schwetlick).
  13. Thu 20 Apr: Kathy Piret continued her talk of last week.

Seminars organized in previous semesters: