Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/23978
 Title: Block matrices and Guo’s index for block circulant matrices with circulant blocks Author: Andrade, EnideManzaneda, CristinaNina, HansRobbiano, María Keywords: Inverse eigenvalue problemStructured inverse eigenvalue problemNonnegative matrixCirculant matrixBlock circulant matrixGuo index Issue Date: 17-Jul-2018 Publisher: Elsevier Abstract: In this paper we deal with circulant and partitioned into n-by-n circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of fi nding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated. Along the paper we call realizable list if its elements are the eigenvalues of a nonnegative matrix. The Guo's index $\lambda_0$ of a realizable list is the minimum spectral radius such that the list (up to the initial spectral radius) together with $\lambda_0$ is realizable. The Guo's index of block circulant matrices with circulant blocks is obtained, and in consequence, necessary and suffcient conditions concerning the NIEP, Nonnegative Inverse Eigenvalue Problem, for the realizability of some spectra are given. Peer review: yes URI: http://hdl.handle.net/10773/23978 DOI: 10.1016/j.laa.2018.07.015 ISSN: 0024-3795 Appears in Collections: CIDMA - Artigos

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