Eigenvalues, Multiplicities and Graphs
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
110709545X
ISBN-13
9781107095458
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 12th, 2018
Print length
310 Pages
Weight
602 grams
Dimensions
16.00 x 23.60 x 2.40 cms
Product Classification:
MathematicsMathematical foundationsNumber theoryScience: general issuesMaths for scientists
Ksh 21,800.00
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This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. For mathematicians working with linear algebra, computation, and combinatorics, the book provides new information to extend the ideas to areas such as geometric multiplicities.
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.
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