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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2017-01-01
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Series: | Special Matrices |
Subjects: | |
Online Access: | https://doi.org/10.1515/spma-2017-0004 |