The Explicit Expression of the Drazin Inverse and Its Application
We give explicit expressions of (P±Q)d of two matrices P and Q, in terms of P, Q, Pd, and Qd, (P±I)d, under the condition that PQ=P, and apply the result to finding an explicit representation for the Drazin inverse of some 2×2 block matrix.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/479260 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561742093221888 |
|---|---|
| author | Xiaoji Liu Shaowu Huang Liang Xu Yaoming Yu |
| author_facet | Xiaoji Liu Shaowu Huang Liang Xu Yaoming Yu |
| author_sort | Xiaoji Liu |
| collection | DOAJ |
| description | We give explicit expressions of (P±Q)d of two matrices P and
Q, in terms of P, Q, Pd, and Qd, (P±I)d, under the condition that PQ=P, and apply the result to finding an explicit representation for the Drazin inverse of some 2×2 block matrix. |
| format | Article |
| id | doaj-art-ec3bb06e2e3a40b7979d02408e8146c5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ec3bb06e2e3a40b7979d02408e8146c52025-02-03T01:24:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/479260479260The Explicit Expression of the Drazin Inverse and Its ApplicationXiaoji Liu0Shaowu Huang1Liang Xu2Yaoming Yu3School of Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematical Sciences, Monash University, VIC 3800, AustraliaWe give explicit expressions of (P±Q)d of two matrices P and Q, in terms of P, Q, Pd, and Qd, (P±I)d, under the condition that PQ=P, and apply the result to finding an explicit representation for the Drazin inverse of some 2×2 block matrix.http://dx.doi.org/10.1155/2013/479260 |
| spellingShingle | Xiaoji Liu Shaowu Huang Liang Xu Yaoming Yu The Explicit Expression of the Drazin Inverse and Its Application Journal of Applied Mathematics |
| title | The Explicit Expression of the Drazin Inverse and Its Application |
| title_full | The Explicit Expression of the Drazin Inverse and Its Application |
| title_fullStr | The Explicit Expression of the Drazin Inverse and Its Application |
| title_full_unstemmed | The Explicit Expression of the Drazin Inverse and Its Application |
| title_short | The Explicit Expression of the Drazin Inverse and Its Application |
| title_sort | explicit expression of the drazin inverse and its application |
| url | http://dx.doi.org/10.1155/2013/479260 |
| work_keys_str_mv | AT xiaojiliu theexplicitexpressionofthedrazininverseanditsapplication AT shaowuhuang theexplicitexpressionofthedrazininverseanditsapplication AT liangxu theexplicitexpressionofthedrazininverseanditsapplication AT yaomingyu theexplicitexpressionofthedrazininverseanditsapplication AT xiaojiliu explicitexpressionofthedrazininverseanditsapplication AT shaowuhuang explicitexpressionofthedrazininverseanditsapplication AT liangxu explicitexpressionofthedrazininverseanditsapplication AT yaomingyu explicitexpressionofthedrazininverseanditsapplication |