On the Drazin Inverse of the Sum of Two Matrices
We deduce the explicit expressions for (P+Q)D and (PQ)D of two matrices P and Q under the conditions P2Q=PQP and Q2P=QPQ. Also, we give the upper bound of |P+QD-PD|2.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/831892 |
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| _version_ | 1850212145762926592 |
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| author | Xiaoji Liu Shuxia Wu Yaoming Yu |
| author_facet | Xiaoji Liu Shuxia Wu Yaoming Yu |
| author_sort | Xiaoji Liu |
| collection | DOAJ |
| description | We deduce the explicit expressions for (P+Q)D and (PQ)D of
two matrices P and Q under the conditions P2Q=PQP and Q2P=QPQ. Also,
we give the upper bound of |P+QD-PD|2. |
| format | Article |
| id | doaj-art-8ad58c8f1a754bc4a6220ddfa5ff752c |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8ad58c8f1a754bc4a6220ddfa5ff752c2025-08-20T02:09:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/831892831892On the Drazin Inverse of the Sum of Two MatricesXiaoji Liu0Shuxia Wu1Yaoming Yu2College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, ChinaCollege of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematical Sciences, Monash University, Caulfield East, VIC 3800, AustraliaWe deduce the explicit expressions for (P+Q)D and (PQ)D of two matrices P and Q under the conditions P2Q=PQP and Q2P=QPQ. Also, we give the upper bound of |P+QD-PD|2.http://dx.doi.org/10.1155/2011/831892 |
| spellingShingle | Xiaoji Liu Shuxia Wu Yaoming Yu On the Drazin Inverse of the Sum of Two Matrices Journal of Applied Mathematics |
| title | On the Drazin Inverse of the Sum of Two Matrices |
| title_full | On the Drazin Inverse of the Sum of Two Matrices |
| title_fullStr | On the Drazin Inverse of the Sum of Two Matrices |
| title_full_unstemmed | On the Drazin Inverse of the Sum of Two Matrices |
| title_short | On the Drazin Inverse of the Sum of Two Matrices |
| title_sort | on the drazin inverse of the sum of two matrices |
| url | http://dx.doi.org/10.1155/2011/831892 |
| work_keys_str_mv | AT xiaojiliu onthedrazininverseofthesumoftwomatrices AT shuxiawu onthedrazininverseofthesumoftwomatrices AT yaomingyu onthedrazininverseofthesumoftwomatrices |