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.
- Thu 12 Jan: Anton Leykin gave a preview of his talks
in San Antonio on deflation methods.
- Tue 24 Jan: Anton Leykin on "Solving Polynomial Systems
with Singular Solutions".
- 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.
- 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.
- Thu 9 Feb: Yan Zhuang on "Parallel Implementation of the
Polyhedral Homotopy Method".
- Thu 16 Feb: Anton Leykin on "Decomposing Solution Sets of
Polynomial Systems in Parallel" (preview of SIAM PP'06 talk).
- 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.
- Thu 2 Mar: no meeting; the meeting of
the SIAM student
chapter at 4PM today features a talk of Stanley Pliska.
- Thu 9 Mar: "recursive placeable subdivisions and dynamic
path scheduling".
- 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".
- 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".
- Thu 13 Apr: Kathy Piret on "minimally extended systems for
simple bifurcation points" (following Allgower and Schwetlick).
- Thu 20 Apr: Kathy Piret continued her talk of last week.
Seminars organized in previous semesters: