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 |