Anna Maria Bigatti
Solving polynomial systems with CoCoALib
(a C++ library from algebra to applications)
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We present the algebraic and exact methods for solving polynomial
systems and analyzing their structure, and also the opposite problem
i.e. finding polynomials vanishing on a given set of points; and then
we discuss the recent results about the interaction between these
algebraic techniques with approximation issues.
We show how to perform these computations using the Computer Algebra
System CoCoA, and also with its core C++ library, CoCoALib.