Perturbation bounds for eigenvalues of diagonalizable matrices and singular values

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.

Bibliographic Details
Main Authors:	Duanmei Zhou, Guoliang Chen, Guoxing Wu, Xiaoyan Chen
Format:	Article
Language:	English
Published:	SpringerOpen 2016-04-01
Series:	Journal of Inequalities and Applications
Subjects:	perturbation bound eigenvalue diagonalizable matrix singular value
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1053-9

id	doaj-d525a67b1fe34bf29ff3e18725821afc
record_format	Article
spelling	doaj-d525a67b1fe34bf29ff3e18725821afc2020-11-24T23:40:56ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-04-012016111110.1186/s13660-016-1053-9Perturbation bounds for eigenvalues of diagonalizable matrices and singular valuesDuanmei Zhou0Guoliang Chen1Guoxing Wu2Xiaoyan Chen3College of Mathematics and Computer Science, Gannan Normal UniversityDepartment of Mathematics, East China Normal UniversityDepartment of Mathematics, Northeast Forestry UniversityLibrary, Gannan Normal UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-016-1053-9perturbation boundeigenvaluediagonalizable matrixsingular value
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Duanmei Zhou Guoliang Chen Guoxing Wu Xiaoyan Chen
spellingShingle	Duanmei Zhou Guoliang Chen Guoxing Wu Xiaoyan Chen Perturbation bounds for eigenvalues of diagonalizable matrices and singular values Journal of Inequalities and Applications perturbation bound eigenvalue diagonalizable matrix singular value
author_facet	Duanmei Zhou Guoliang Chen Guoxing Wu Xiaoyan Chen
author_sort	Duanmei Zhou
title	Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
title_short	Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
title_full	Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
title_fullStr	Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
title_full_unstemmed	Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
title_sort	perturbation bounds for eigenvalues of diagonalizable matrices and singular values
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-04-01
description	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.
topic	perturbation bound eigenvalue diagonalizable matrix singular value
url	http://link.springer.com/article/10.1186/s13660-016-1053-9
work_keys_str_mv	AT duanmeizhou perturbationboundsforeigenvaluesofdiagonalizablematricesandsingularvalues AT guoliangchen perturbationboundsforeigenvaluesofdiagonalizablematricesandsingularvalues AT guoxingwu perturbationboundsforeigenvaluesofdiagonalizablematricesandsingularvalues AT xiaoyanchen perturbationboundsforeigenvaluesofdiagonalizablematricesandsingularvalues
_version_	1725508640058638336

Perturbation bounds for eigenvalues of diagonalizable matrices and singular values

Similar Items