Roots multiplicity and square-free factorization of polynomials using companion matrices

DOI10.1016/J.LAA.2011.10.018zbMath1320.12002arXiv1306.4342OpenAlexW2964065528MaRDI QIDQ417438

Fernando Szechtman, Natalio H. Guersenzvaig

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4342

zbMATH Keywords

companion matrixLagrange interpolation formulasquare-free factorization

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Special matrices (15B99)

Related Items (2)

Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility ⋮ Apollonius circles and irreducibility criteria for polynomials

Cites Work

• Unnamed Item
• A closed formula for the product in simple integral extensions
• Fast modular algorithms for squarefree factorization and Hermite integration

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