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.

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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
Zeitschriftentitel
Linear algebra and its applications
Band
142
Seite
195-209
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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. doi: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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