Please use this identifier to cite or link to this item: http://repository.aaup.edu/jspui/handle/123456789/92
 Title: Involutions and Generalized Centrosymmetric and Skew-centrosymmetric Matrices Authors: iyad t. abu-jeib Keywords: involutory matrixgeneralized skew-centrosymmetricgeneralized centrosymmetric$K$-symmetric$K$-skew-symmetricskew-symmetricrank-one Issue Date: 2007 Publisher: Can. Appl. Math. Q. Abstract: We present new results and simple short proofs for known theorems about generalized centrosymmetric matrices and generalized skew-centrosymmetric (centroskew) matrices. We also make a comparison between the identity matrix and a nontrivial involutory matrix $K$ by studying the eigensystem of $K+M$, where $M$ is a structured matrix, with the goal of expressing this system entirely in terms of the corresponding eigensystem of $M$. Also, properties of some parametric families of the form $K+\rho M$ are studied. URI: http://repository.aaup.edu/jspui/handle/123456789/92 Appears in Collections: Faculty & Staff Scientific Research publications

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