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 Cities and the Grand Tour by Charles R. Johnson, Carlos M. Saiago
Cover of the book Bandung, Global History, and International Law by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Use of Force and International Law by Charles R. Johnson, Carlos M. Saiago
Cover of the book Democracy More or Less by Charles R. Johnson, Carlos M. Saiago
Cover of the book Activists Forever? by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Regulatory Aftermath of the Global Financial Crisis by Charles R. Johnson, Carlos M. Saiago
Cover of the book Mathematical Foundations of Imaging, Tomography and Wavefield Inversion by Charles R. Johnson, Carlos M. Saiago
Cover of the book Incitement on Trial by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Cambridge Companion to Frankenstein by Charles R. Johnson, Carlos M. Saiago
Cover of the book Coping with Choices to Die by Charles R. Johnson, Carlos M. Saiago
Cover of the book Experimental Design and Data Analysis for Biologists by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Cambridge History of War: Volume 4, War and the Modern World by Charles R. Johnson, Carlos M. Saiago
Cover of the book When Heroes Sing by Charles R. Johnson, Carlos M. Saiago
Cover of the book The Politics of Nationalism in Modern Iran by Charles R. Johnson, Carlos M. Saiago
Cover of the book Modernism and Masculinity 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