| Title:
|
How to characterize commutativity equalities for Drazin inverses of matrices (English) |
| Author:
|
Tian, Yongge |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
191-199 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Necessary and sufficient conditions are presented for the commutativity equalities $A^*A^D = A^DA^*$, $A^{\dag }A^D = A^DA^{\dag }$, $A^{\dag }AA^D = A^DAA^{\dag }$, $AA^DA^* = A^*A^DA$ and so on to hold by using rank equalities of matrices. Some related topics are also examined. (English) |
| Keyword:
|
commutativity |
| Keyword:
|
Drazin inverse |
| Keyword:
|
Moore-Penrose inverse |
| Keyword:
|
rank equality |
| Keyword:
|
matrix expression |
| MSC:
|
15A03 |
| MSC:
|
15A09 |
| MSC:
|
15A27 |
| idZBL:
|
Zbl 1122.15300 |
| idMR:
|
MR2010720 |
| . |
| Date available:
|
2008-06-06T22:41:47Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107866 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
