Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition
Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction that A and its perturbed matrix A˜ have the same rank. These bounds improve the corresponding recent results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/219025 |
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| _version_ | 1832559003699249152 |
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| author | Pingping Zhang Hu Yang Hanyu Li |
| author_facet | Pingping Zhang Hu Yang Hanyu Li |
| author_sort | Pingping Zhang |
| collection | DOAJ |
| description | Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction that A and its perturbed matrix A˜ have the same rank. These bounds improve the corresponding recent results. |
| format | Article |
| id | doaj-art-68ed38f0d9ff44ed8240236f27bd4b1d |
| 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-68ed38f0d9ff44ed8240236f27bd4b1d2025-02-03T01:31:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/219025219025Relative and Absolute Perturbation Bounds for Weighted Polar DecompositionPingping Zhang0Hu Yang1Hanyu Li2College of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaSome new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction that A and its perturbed matrix A˜ have the same rank. These bounds improve the corresponding recent results.http://dx.doi.org/10.1155/2012/219025 |
| spellingShingle | Pingping Zhang Hu Yang Hanyu Li Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition Journal of Applied Mathematics |
| title | Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition |
| title_full | Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition |
| title_fullStr | Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition |
| title_full_unstemmed | Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition |
| title_short | Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition |
| title_sort | relative and absolute perturbation bounds for weighted polar decomposition |
| url | http://dx.doi.org/10.1155/2012/219025 |
| work_keys_str_mv | AT pingpingzhang relativeandabsoluteperturbationboundsforweightedpolardecomposition AT huyang relativeandabsoluteperturbationboundsforweightedpolardecomposition AT hanyuli relativeandabsoluteperturbationboundsforweightedpolardecomposition |