Generalized centro-invertible matrices with applications

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2014
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Abstract
Centro-invertible matrices are introduced by R.S. Wikramaratna in 2008. For an involutory matrix R, we define the generalized centro-invertible matrices with respect to R to be those matrices A such that RAR=A^(−1). We apply these matrices to a problem in modular arithmetic. Specifically, algorithms for image blurring/deblurring are designed by means of generalized centro-invertible matrices. In addition, if R_1 and R_2 are n×n involutory matrices, then there is a simple bijection between the set of all centro-invertible matrices with respect to R_1 and the set with respect to R_2.
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Lebtahi, Leila Romero, Óscar Thome, Néstor 2014 Generalized centro-invertible matrices with applications Applied Mathematics Letters 38 106 109