Eigenvalues, Multiplicities and Graphs

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Science
Cover of the book Eigenvalues, Multiplicities and Graphs by Charles R. Johnson, Carlos M. Saiago, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Charles R. Johnson, Carlos M. Saiago ISBN: 9781108547031
Publisher: Cambridge University Press Publication: February 22, 2018
Imprint: Cambridge University Press Language: English
Author: Charles R. Johnson, Carlos M. Saiago
ISBN: 9781108547031
Publisher: Cambridge University Press
Publication: February 22, 2018
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Convergence of One-Parameter Operator Semigroups by Charles R. Johnson, Carlos M. Saiago
Cover of the book Child, Adolescent and Family Development by Charles R. Johnson, Carlos M. Saiago
Cover of the book Courts in Latin America by Charles R. Johnson, Carlos M. Saiago
Cover of the book Brain Repair After Stroke by Charles R. Johnson, Carlos M. Saiago
Cover of the book Textbook of Human Reproductive Genetics by Charles R. Johnson, Carlos M. Saiago
Cover of the book Novel Theory and Technology in Modernist Britain by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Impact of Discovering Life beyond Earth by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Foundations of Worldwide Economic Integration by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Foragers of Point Hope by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Cambridge Companion to Arvo Pärt by Charles R. Johnson, Carlos M. Saiago
Cover of the book Essentials of Programming in Mathematica® by Charles R. Johnson, Carlos M. Saiago
Cover of the book Theory of Unipolar Politics by Charles R. Johnson, Carlos M. Saiago
Cover of the book Mainstreaming Climate Change in Development Cooperation by Charles R. Johnson, Carlos M. Saiago
Cover of the book Visual Culture in Contemporary China by Charles R. Johnson, Carlos M. Saiago
Cover of the book Diffusion of Democracy by Charles R. Johnson, Carlos M. Saiago
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy