A Note on Inclusion Intervals of Matrix Singular Values

We establish an inclusion relation between two known inclusion intervals of matrix singular values in some special case. In addition, based on the use of positive scale vectors, a known inclusion interval of matrix singular values is also improved.

Bibliographic Details
Main Authors: Shu-Yu Cui, Gui-Xian Tian
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/101957
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spelling doaj-003688feb5914ffc91613cbe87ecd37a2020-11-24T23:43:25ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/101957101957A Note on Inclusion Intervals of Matrix Singular ValuesShu-Yu Cui0Gui-Xian Tian1Xingzhi College, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaCollege of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaWe establish an inclusion relation between two known inclusion intervals of matrix singular values in some special case. In addition, based on the use of positive scale vectors, a known inclusion interval of matrix singular values is also improved.http://dx.doi.org/10.1155/2012/101957
collection DOAJ
language English
format Article
sources DOAJ
author Shu-Yu Cui
Gui-Xian Tian
spellingShingle Shu-Yu Cui
Gui-Xian Tian
A Note on Inclusion Intervals of Matrix Singular Values
Journal of Applied Mathematics
author_facet Shu-Yu Cui
Gui-Xian Tian
author_sort Shu-Yu Cui
title A Note on Inclusion Intervals of Matrix Singular Values
title_short A Note on Inclusion Intervals of Matrix Singular Values
title_full A Note on Inclusion Intervals of Matrix Singular Values
title_fullStr A Note on Inclusion Intervals of Matrix Singular Values
title_full_unstemmed A Note on Inclusion Intervals of Matrix Singular Values
title_sort note on inclusion intervals of matrix singular values
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description We establish an inclusion relation between two known inclusion intervals of matrix singular values in some special case. In addition, based on the use of positive scale vectors, a known inclusion interval of matrix singular values is also improved.
url http://dx.doi.org/10.1155/2012/101957
work_keys_str_mv AT shuyucui anoteoninclusionintervalsofmatrixsingularvalues
AT guixiantian anoteoninclusionintervalsofmatrixsingularvalues
AT shuyucui noteoninclusionintervalsofmatrixsingularvalues
AT guixiantian noteoninclusionintervalsofmatrixsingularvalues
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