|Title:||On eigenvalue inequalities of a matrix whose graph is bipartite||Journal:||Journal of Inequalities and Applications||Volume:||2019||Issue Date:||1-Jan-2019||Rank:||M21||ISSN:||1029-242X||DOI:||10.1186/s13660-019-2001-2||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).
|Keywords:||Bipartite complement of matrix | Eigenvalue bounds | Interlacing property | Interval matrices||Publisher:||Springer Link|
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