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Numerical Algebraic Geometry
Sunday, July 22, 2007, 8:00am-12:30pm
A session of ACA'07
July 19-22, 2007
Oakland University, Rochester, Michigan
Organizers
Overview:
To answer questions posed in algebraic geometry over the complexes, one may
take advantage of the continuity of the complex number field to construct
homotopy solution algorithms. Numerical algebraic geometry is concerned with
the theoretical construction of homotopies, the symbolic processes used in their construction,
and the numerical implementation in floating point arithmetic of the solution algorithms.
The field also includes symbolic-numeric methods for deflating nonreduced solution components, for approximate factorization,
and for numerical calculation of other algebraic-geometric quantities (eigenvalues, algebraic invariants, etc.).
The goal of this session is to review
such techniques and bring together researchers from this area.
Schedule (Click author name for abstract)
| 08:00-08:50 | Jan Verschelde
An Overview of Numerical Algebraic Geometry |
| 09:00-09:25 | Zhonggang Zeng
Numerical Computation of the Polynomial Irreducible Factorization |
| 09:30-09:55 | Gregory Reid
New Extensions and Applications for Numerical Algebraic Geometry |
| 10:00-10:30 | Break |
| 10:30-10:55 | Daniel Bates
Numerical Algebraic Geometry in Control Theory |
| 11:00-11:25 | Barry Dayton
Local Solution of Analytic Systems by Homotopy |
| 11:30-12:00 | Anton Leykin
Computing Embedded Solution Components via Deflation |
| 12:00-12:30 | Wenyuan Wu
Fast Prolongation Method for Partial Differential Equations |
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