MCS 595 Graduate Seminar, Spring 2005
This semester, we plan to meet again weekly in 712 SEO
on Thursdays at 3PM.
- Thu 20 Jan: "Evaluation of Deflation Matrices".
Repeated deflation with Newton's method restores the quadratic
convergence when sufficiently close to an isolated singularity.
The deflation involves the addition of a random combination of R+1
columns of the Jacobian matrix, where R is the numerical rank.
When executed symbolically, the occurrence of expression swell
allows only a couple of deflations. We show that we can "unwind"
the multipliers using a derivative tree structure.
- Thu 3 Feb: "Solving Polynomial Systems using Homotopies I".
A preview to the first one hour tutorial at ISSAC 2005.
- Thu 17 Feb: Anton Leykin on "Modelling monodromy decomposition method".
- Thu 24 Feb: Yusong Wang on "Computing dynamic output feedback laws
with Pieri homotopies on a parallel computer".
- Thu 3 Mar: "Factoring Pure Dimensional Solution Sets of Polynomial
Systems in Parallel".
- Thu 10 Mar: "Solving Polynomial Systems", a preview to the graduate
student colloquium of Friday 11 March.
- Tue 15 Mar: "Homotopies for Numerical Irreducible Decomposition",
in the Computational Commutative Algebra seminar.
- Thu 31 Mar: "Solving polynomial systems equation by equation".
- Thu 7 Apr: Ailing Zhao on "Numerical Rank-Revealing Method".
- Tue 12 Apr: "Secondary Polytopes",
in the Computational Commutative Algebra seminar.
- Mon 2 May: Anton Leykin on "Computing the multiplicity structure at
the isolated singular solution of a polynomial systems of equations.
Algorithms of Dayton-Zeng and Stetter-Thallinger.
We may meet less frequently this semester, but note
the Computational Commutative Algebra seminar organized
by Anton Leykin.
Seminars organized in previous semesters: