On eigenvalue inequalities of a matrix whose graph is bipartite

Autor: Abdullah Alazemi, Milica Anđelić, Slobodan K. Simić
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-12 (2019)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-019-2001-2
Popis: Abstract We consider the set of real zero diagonal symmetric matrices whose underlying graph, if not told otherwise, is bipartite. Then we establish relations between the eigenvalues of such matrices and those arising from their bipartite complement. Some accounts on interval matrices are provided. We also provide a partial answer to the still open problem posed in (Zhan in SIAM J. Matrix Anal. Appl. 27:851–860, 2006).
Databáze: Directory of Open Access Journals
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