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http://173.13.1.9:8080/xmlui/handle/123456789/6548| Title: | The (P ,Q) generalized reflexive and anti-reflexive solutions of some matrix equations |
| Authors: | CHOUIREB, MARWA |
| Keywords: | (P; Q) generalized reflexive solution, (P; Q) generalized anti-reflexive solution, Matrix equation, Moore-penrose generalized inverse, Frobenius norm, generalized reflection matrix. |
| Issue Date: | 2022 |
| Publisher: | university Ghardaia |
| Abstract: | In this thesis, we establish necessary and sufficient conditions for the existence of the (P; Q) generalized reflexive (anti-reflexive) solutions and the common (P; Q) generalized reflexive (antireflexive) solutions to linear matrix equations AX = B and the system AX = B, XC = D respectively, with respect to the generalized reflection matrix dual (P; Q). Moreover, for all these solutions, we derive the explicit expression of the best solution estimator to a given matrix in the Frobenius norm |
| URI: | http://173.13.1.9:8080/xmlui/handle/123456789/6548 |
| Appears in Collections: | Mémoires de Master |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Mémoire Chouireb marwa.pdf | 1.19 MB | Adobe PDF | View/Open |
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