TU Berlin

Fachgebiet Algorithmische AlgebraSoftware Seminar: Numerical Nonlinear Algebra

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Software Seminar: Numerical Nonlinear Algebra

General information

The Seminar is about applications and problems related to the numerical solution of polynomial systems. Participants should pick one of several projects and present their own solution using the Julia (julialang.org) package HomotopyContinuation.jl (juliahomotopycontinuation.org).

The seminar can be seen as the practical counterpart of the lecture Condition: The Geometry of Numerical Algorithms. It can serve as a preparation for the Thematic Einstein Semester Varieties, Polyhedra, Computation in the winter term 2019/20.

The seminar is organized by

The Projects

A list of proposed project ideas can be found in the following pdf-file.

The projects have been distributed as indicated by the following table. 

Distribution of the Projects
Topic
Name
alphaCertified
Josue Tonelli Cueto
Degree of an Algebraic Variety
Kemal Rose
The Multiview Variety
Christoph Schmidt
Biochemical Reaction Networks
Thomas Schauer
Dimension of Components of Algebraic Varieties
Yumeng Li
Intersections of Curves in P^2
Alexandra Grigorieva
Bottlenecks of Algebraic Varieties
Mirko Malik
The 4-bar Mechanism
Anna Eckhardt

Preliminary Schedule

There will be seminar meetings on certain days in room MA 316. The preliminary plan is the following:

Course Hours
Date
Day
Hours
Content
03.05.19
Friday
1015-1145
Introduction to Julia and HomotopyContinuation.jl. Discussion of the topics.
24.05.19
Friday
1015-1145
Intermediate meeting to discuss the status of the projects.
07.06.19
Friday
1015-1145
Presentation.
21.06.19
Friday
1015-1145
Presentation.
28.06.19
Friday
1015-1145
Presentation.

 

 

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