Document detail
ID
oai:arXiv.org:2208.09186
Topic
Mathematics - Rings and Algebras Mathematics - Numerical Analysis 12D10 30C15 41A65Author
Remm, ElisabethCategory
Computer Science
Year
2022
listing date
8/24/2022
Keywords
roots studyAbstract
After reconsidering the theorem of continuity of the roots of a polynomial in terms of its coefficients in the deformation framework, we study the stability of the greater common divisor of two polynomials compared to perturbations on their roots.
We apply this results to the study of deformations of a linear operator in finite dimension and in particular to the roots study of deformed matrices.
;Comment: 23 pages
Remm, Elisabeth, 2022, Perturbations of polynomials and applications
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