Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix
East Asian J. Appl. Math., 4 (2014), pp. 88-94.
Published online: 2018-02
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@Article{EAJAM-4-88,
author = {Yimin Wei and Yifei Qu},
title = {Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {4},
number = {1},
pages = {88--94},
abstract = {
In this short note, we present a sharp upper bound for the perturbation of eigenvalues of a singular diagonalizable matrix given by Stanley C. Eisenstat [3].
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.010213.100913a}, url = {http://global-sci.org/intro/article_detail/eajam/10824.html} }
TY - JOUR
T1 - Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix
AU - Yimin Wei & Yifei Qu
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 88
EP - 94
PY - 2018
DA - 2018/02
SN - 4
DO - http://dor.org/10.4208/eajam.010213.100913a
UR - https://global-sci.org/intro/eajam/10824.html
KW - Bauer-Fike theorem
KW - diagonalizable matrix
KW - group inverse
KW - Jordan canonical form
AB -
In this short note, we present a sharp upper bound for the perturbation of eigenvalues of a singular diagonalizable matrix given by Stanley C. Eisenstat [3].
Yimin Wei & Yifei Qu. (1970). Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix.
East Asian Journal on Applied Mathematics. 4 (1).
88-94.
doi:10.4208/eajam.010213.100913a
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