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arxiv: 1703.06120 · v1 · pith:3HH6X2CNnew · submitted 2017-03-17 · 💻 cs.SC

Roots multiplicity without companion matrices

classification 💻 cs.SC
keywords companionmatricespolynomialrootsalgorithmanotherconstructingdecomposition
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We show a method for constructing a polynomial interpolating roots' multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig--Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.

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