Eigenvalues, Multiplicities and Graphs: 211 (Cambridge Tracts in Mathematics, Series Number 211) - Hardcover

Buch 36 von 46: Cambridge Tracts in Mathematics

Saiago, Carlos M.; Johnson, Charles R.

 
9781107095458: Eigenvalues, Multiplicities and Graphs: 211 (Cambridge Tracts in Mathematics, Series Number 211)
Hardcover
ISBN 10: 110709545X ISBN 13: 9781107095458
Verlag: Cambridge University Press, 2018

Inhaltsangabe

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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Über die Autorinnen und Autoren

Charles R. Johnson is Class of 1961 Professor of Mathematics at the College of William and Mary, Virginia. He is the recognized expert in the interplay between linear algebra and combinatorics, as well as many parts of matrix analysis. He is coauthor of Matrix Analysis (Cambridge, 2012), Topics in Matrix Analysis (Cambridge, 2010), both with Roger Horn, and Totally Nonnegative Matrices (2011, with Shaun Fallat).

Carlos M. Saiago is Assistant Professor of Mathematics at Universidade Nova de Lisboa, Portugal, and is the author of fifteen papers on eigenvalues, multiplicities, and graphs.

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Verlag
Cambridge University Press
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
110709545X
ISBN 13 
9781107095458
Einband
Tapa dura
Anzahl der Seiten
314
Kontakt zum Hersteller
Cambridge University Press
https://www.cambridge.org/

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