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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/101957 |
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| _version_ | 1832562782335139840 |
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| author | Shu-Yu Cui Gui-Xian Tian |
| author_facet | Shu-Yu Cui Gui-Xian Tian |
| author_sort | Shu-Yu Cui |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-003688feb5914ffc91613cbe87ecd37a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-003688feb5914ffc91613cbe87ecd37a2025-02-03T01:21:46ZengWileyJournal 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 |
| spellingShingle | Shu-Yu Cui Gui-Xian Tian A Note on Inclusion Intervals of Matrix Singular Values Journal of Applied Mathematics |
| title | 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_short | A Note on Inclusion Intervals of Matrix Singular Values |
| title_sort | note on inclusion intervals of matrix singular values |
| 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 |