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    Citation - WoS: 9
    Citation - Scopus: 7
    On the Quadraticity of Linear Combinations of Quadratic Matrices
    (Taylor & Francis Ltd, 2015) Uc, M.; Ozdemir, H.; Ozban, A. Y.
    Let [GRAPHICS] and [GRAPHICS] be [GRAPHICS] nonzero quadratic matrices and let [GRAPHICS] and [GRAPHICS] be nonzero complex numbers. Necessary and sufficient conditions for the quadraticity of the linear combinations of the form [GRAPHICS] are obtained. Our main results contain many of the results in the literature related to idempotency or involutivity of the linear combinations of idempotent and/or involutive matrices. Finally, some numerical examples are given to exemplify the main results.