A lower bound for the energy of symmetric matrices and graphs

The energy of a symmetric matrix is the sum of the absolute values of its eigenvalues. We introduce a lower bound for the energy of a symmetric partitioned matrix into blocks. This bound is related to the spectrum of its quotient matrix. Furthermore, we study necessary conditions for the equality. A...

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Bibliographic Details
Main Author: Andrade, Enide (author)
Other Authors: Robbiano, María (author), Martín, B. San (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/16240
Country:Portugal
Oai:oai:ria.ua.pt:10773/16240