Graphs and Hermitian matrices: exact interlacing

Details Graphs and Hermitian matrices: exact interlacing Graphs and Hermitian matrices: exact interlacing

2006-09-20

arxiv.org/abs/math/0609572v2

Mathematics

Combinatorics

Scientific paper

We prove conditions for equality between the extreme eigenvalues of a matrix
and its quotient. In particular, we give a lower bound on the largest singular
value of a matrix and generalize a result of Finck and Grohmann about the
largest eigenvalue of a graph.

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