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- W3198665833 abstract "An $ntimes n$ matrix $C$ is said to be {it centrosymmetric} if it satisfies the relation $JCJ=C$, where $J$ is the $ntimes n$ counteridentity matrix. Centrosymmetric matrices have a rich eigenstructure that has been studied extensively in the literature. Many results for centrosymmetric matrices have been generalized to wider classes of matrices that arise in a wide variety of disciplines. In this paper, we obtain interesting spectral properties for nonnegative centrosymmetric matrices. We show how to change one single eigenvalue, two or three eigenvalues of an $ntimes n$ nonnegative centrosymmetric matrix without changing any of the remaining eigenvalues neither nonnegativity nor the centrosymmetric structure. Moreover, our results allow partially answer some known questions given by Guo [11] and by Guo and Guo [12]. Our proofs generate algorithmic procedures that allow to compute a solution matrix." @default.
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- W3198665833 date "2022-09-05" @default.
- W3198665833 modified "2023-09-30" @default.
- W3198665833 title "Perturbing eigenvalues of nonnegative centrosymmetric matrices" @default.
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- W3198665833 doi "https://doi.org/10.1080/03081087.2022.2118214" @default.
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