Eigenvalues, Multiplicities and Graphs
2018
First Published
612
Number of Pages
Part of Series
The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
Authors
Charles R. Johnson
Author · 2 books
Librarian Note: There is more than one author in the Goodreads database with this name. Charles Royal Johnson is an American mathematician specialized in linear algebra.
