Browsing by Author "CHOUIREB, MARWA"

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    The (P ,Q) generalized reflexive and anti-reflexive solutions of some matrix equations
    (university Ghardaia, 2022) CHOUIREB, MARWA
    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