Perturbation bounds for eigenvalues of diagonalizable matrices and singular values

Duanmei Zhou; Guoliang Chen; Guoxing Wu; Xiaoyan Chen

doi:10.1186/s13660-016-1053-9

Journal of Inequalities and Applications (Apr 2016)

Perturbation bounds for eigenvalues of diagonalizable matrices and singular values

Duanmei Zhou,
Guoliang Chen,
Guoxing Wu,
Xiaoyan Chen

Affiliations

Duanmei Zhou: College of Mathematics and Computer Science, Gannan Normal University
Guoliang Chen: Department of Mathematics, East China Normal University
Guoxing Wu: Department of Mathematics, Northeast Forestry University
Xiaoyan Chen: Library, Gannan Normal University

DOI: https://doi.org/10.1186/s13660-016-1053-9
Journal volume & issue: Vol. 2016, no. 1
pp. 1 – 11

Abstract

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Abstract Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.

Published in Journal of Inequalities and Applications

ISSN: 1029-242X (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.journalofinequalitiesandapplications.com/

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