The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value

We take as given a real symmetric matrix A, whose graph is a tree T, and the eigenvalues of A, with their multiplicities. Each edge of T may then be classified in one of four categories, based upon the change in multiplicity of a particular eigenvalue, when the edge is removed (i.e. the correspondin...

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Bibliographic Details
Main Authors: Toyonaga Kenji, Johnson Charles R.
Format: Article
Language:English
Published: De Gruyter 2017-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2017-0004