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: |
Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204301183 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |