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http://repository.aaup.edu/jspui/handle/123456789/92
Title: | Involutions and Generalized Centrosymmetric and Skew-centrosymmetric Matrices |
Authors: | iyad t. abu-jeib |
Keywords: | involutory matrix generalized skew-centrosymmetric generalized centrosymmetric $K$-symmetric $K$-skew-symmetric skew-symmetric rank-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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