| Title:
|
New results for EP matrices in indefinite inner product spaces (English) |
| Author:
|
Radojević, Ivana M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
91-103 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study $J$-EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and $J$-EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some conditions. (English) |
| Keyword:
|
EP matrix |
| Keyword:
|
indefinite matrix product |
| Keyword:
|
reverse order law |
| Keyword:
|
partial order |
| Keyword:
|
indefinite inner product space |
| MSC:
|
06A06 |
| MSC:
|
15A09 |
| MSC:
|
47B50 |
| idZBL:
|
Zbl 06391479 |
| idMR:
|
MR3247447 |
| DOI:
|
10.1007/s10587-014-0086-9 |
| . |
| Date available:
|
2014-09-29T09:37:48Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143952 |
| . |
| 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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| . |
