Please use this identifier to cite or link to this item: https://dspace.univ-ghardaia.edu.dz/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: https://dspace.univ-ghardaia.edu.dz/xmlui/handle/123456789/6548
Appears in Collections:Mémoires de Master

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