6533b854fe1ef96bd12ae917

RESEARCH PRODUCT

Generalized centro-invertible matrices with applications

Oscar RomeroNéstor ThomeLeila Lebtahi

subject

Centro-symmetric matrixSquare root of a 2 by 2 matrixApplied MathematicsInvolutory matrixINGENIERIA TELEMATICAMatrius (Matemàtica)Matrix ringMatrix multiplicationCombinatoricsMatrix (mathematics)Integer matrix2 × 2 real matricesCentro-invertible matrixMatrix analysisInvolutory matrixMATEMATICA APLICADAComputer Science::Distributed Parallel and Cluster ComputingMathematics

description

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 R1 and R2 are n × n involutory matrices, then there is a simple bijection between the set of all centro-invertible matrices with respect to R1 and the set with respect to R2.

yearjournalcountryeditionlanguage
2014-12-01
10.1016/j.aml.2014.07.008https://doi.org/10.1016/j.aml.2014.07.008