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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机译：中心可逆矩阵由R.S. Wikramaratna在2008年。对于一个不合逻辑矩阵R，我们将相对于R的广义中心可逆矩阵定义为那些矩阵A，使得RAR = A ^（-1）。我们将这些矩阵应用于模块化算术中的问题。具体地，借助于广义的可逆矩阵来设计用于图像模糊/去模糊的算法。另外，如果R_1和R_2是n×n个对合矩阵，那么在所有关于R_1的中心可逆矩阵的集合和关于R_2的集合之间存在简单的双射。
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