Location: http://www.cs.panam.edu/~cherba/Projects/MatDetInterp
Commercial computer algebra systems have various sometimes
contradictory goals when it comes to providing extended functionality
as well as ease of use. Given their nature and objectives it is rarely
that some subsystem is lightweight and fast. One of the challenging
problems to symbolic packages is the most basic one, polynomial
arithmetic. Computing for example the determinant of a polynomial
matrix is a difficult problem. We provide a small tool for
interpolating determinants of polynomial matrices. In its first
release, it uses classic Zippel's spare probabilistic interpolation
algorithm with a few improvements to extract the determinant of a
given matrix. Even though a few similar tools exist for some time now
our implementation has very little overhead and employs a few
optimizing heuristics. This tool is primarily used for computing the
projection operators from resultant matrices constructed in Maple.
