المستودع الرقمي في جامعة غرداية

The (P ,Q) generalized reflexive and anti-reflexive solutions of some matrix equations

عرض سجل المادة البسيط

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


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