المستودع الرقمي في جامعة غرداية
The (P ,Q) generalized reflexive and anti-reflexive solutions of some matrix equations
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| dc.contributor.author | CHOUIREB, MARWA | |
| dc.date.accessioned | 2023-10-12T08:49:16Z | |
| dc.date.available | 2023-10-12T08:49:16Z | |
| dc.date.issued | 2022 | |
| dc.identifier.uri | https://dspace.univ-ghardaia.edu.dz/xmlui/handle/123456789/6548 | |
| dc.description.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 | EN_en |
| dc.publisher | university Ghardaia | EN_en |
| dc.subject | (P; Q) generalized reflexive solution, (P; Q) generalized anti-reflexive solution, Matrix equation, Moore-penrose generalized inverse, Frobenius norm, generalized reflection matrix. | EN_en |
| dc.title | The (P ,Q) generalized reflexive and anti-reflexive solutions of some matrix equations | EN_en |
| dc.type | Thesis | EN_en |
