### Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix

Bhatia R, Elsner L, Krause G (1990)
Linear algebra and its applications 142: 195-209.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

Autor*in
Bhatia, Rajendra; Elsner, LudwigUniBi; Krause, G.
Einrichtung
Abstract / Bemerkung
We derive some new bounds for the distance between the roots of two polynomials in terms of their coefficients and for the distance between the eigenvalues of two matrices in terms of the norm of their difference.
Erscheinungsjahr
1990
Zeitschriftentitel
Linear algebra and its applications
Band
142
Seite(n)
195-209
ISSN
0024-3795
Page URI
https://pub.uni-bielefeld.de/record/1780830

### Zitieren

Bhatia R, Elsner L, Krause G. Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Linear algebra and its applications. 1990;142:195-209.
Bhatia, R., Elsner, L., & Krause, G. (1990). Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Linear algebra and its applications, 142, 195-209. https://doi.org/10.1016/0024-3795(90)90267-G
Bhatia, R., Elsner, L., and Krause, G. (1990). Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Linear algebra and its applications 142, 195-209.
Bhatia, R., Elsner, L., & Krause, G., 1990. Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Linear algebra and its applications, 142, p 195-209.
R. Bhatia, L. Elsner, and G. Krause, “Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix”, Linear algebra and its applications, vol. 142, 1990, pp. 195-209.
Bhatia, R., Elsner, L., Krause, G.: Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Linear algebra and its applications. 142, 195-209 (1990).
Bhatia, Rajendra, Elsner, Ludwig, and Krause, G. “Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix”. Linear algebra and its applications 142 (1990): 195-209.
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