Eigenvalues, Multiplicities and Graphs (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	February 2018
Authors:	Charles R. Johnson • Carlos M. Saiago
Dimensions:	236 x 158 x 23mm (L x W x T)
Format:	Hardcover
Pages:	310
ISBN-13:	978-1-107-09545-8
Categories:	Books > Science & Mathematics > Science: general issues > General Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Promotions
LSN:	1-107-09545-X
Barcode:	9781107095458

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