Polynomial Homotopies for Dense, Sparse and Determinantal Systems

Details Polynomial Homotopies for Dense, Sparse and Determinantal Systems Polynomial Homotopies for Dense, Sparse and Determinantal Systems

1999-07-12

arxiv.org/abs/math/9907060v1

Mathematics

Numerical Analysis

Scientific paper

Numerical homotopy continuation methods for three classes of polynomial
systems are presented. For a generic instance of the class, every path leads to
a solution and the homotopy is optimal. The counting of the roots mirrors the
resolution of a generic system that is used to start up the deformations.
Software and applications are discussed.

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