Dokumentdetails
ID
oai:arXiv.org:2208.09186
Thema
Mathematics - Rings and Algebras Mathematics - Numerical Analysis 12D10 30C15 41A65Autor
Remm, ElisabethKategorie
Computer Science
Jahr
2022
Auflistungsdatum
24.08.2022
Schlüsselwörter
roots studyZusammenfassung
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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