On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
Some mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method. Some applications and extensions of these reverse-order laws to the weighted Moore-Penrose inverse are...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204301183 |
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| _version_ | 1849304330919739392 |
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| author | Yongge Tian |
| author_facet | Yongge Tian |
| author_sort | Yongge Tian |
| collection | DOAJ |
| description | Some mixed-type reverse-order laws for the Moore-Penrose inverse
of a matrix product are established. Necessary and sufficient
conditions for these laws to hold are found by the matrix rank
method. Some applications and extensions of these reverse-order
laws to the weighted Moore-Penrose inverse are also given. |
| format | Article |
| id | doaj-art-10beb84bbf3f4b28b33b87bf1981af41 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-10beb84bbf3f4b28b33b87bf1981af412025-08-20T03:55:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004583103311610.1155/S0161171204301183On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix productYongge Tian0Department of Mathematical and Statistical Sciences, University of Alberta, AB, Edmonton T6G 2G1, CanadaSome mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method. Some applications and extensions of these reverse-order laws to the weighted Moore-Penrose inverse are also given.http://dx.doi.org/10.1155/S0161171204301183 |
| spellingShingle | Yongge Tian On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product International Journal of Mathematics and Mathematical Sciences |
| title | On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product |
| title_full | On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product |
| title_fullStr | On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product |
| title_full_unstemmed | On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product |
| title_short | On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product |
| title_sort | on mixed type reverse order laws for the moore penrose inverse of a matrix product |
| url | http://dx.doi.org/10.1155/S0161171204301183 |
| work_keys_str_mv | AT yonggetian onmixedtypereverseorderlawsforthemoorepenroseinverseofamatrixproduct |