What Should a Software Package for Numerical Algebraic Geometry Be?

Monday, October 23, 2006 - 1:40pm - 2:30pm
EE/CS 3-180
Charles Wampler (General Motors Corporation)
It has been approximately twenty years since the initial germination of
numerical continuation as an approach to finding solution points of systems
of polynomial equations and ten years since its flowering into numerical
algebraic geometry, which facilitates description of solution sets of any
dimension and operations on these, such as intersection and fiber products.
We will attempt to step back from the torrent of recent developments to
sketch out the big picture of what a general software package for numerical
algebraic geometry should be: what core functions are necessary, how these
can be organized into higher level algorithms, and how this might be wedded
to user interfaces that allow access by non-experts while still being open
to new advances in algorithms.
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