Eigenvalues, multiplicities and graphs:
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 de...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge tracts in mathematics
211 |
| Links: | https://doi.org/10.1017/9781316155158 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xxii, 291 Seiten) |
| ISBN: | 9781316155158 |
Internformat
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| 245 | 1 | 0 | |a Eigenvalues, multiplicities and graphs |c Charles R. Johnson, Carlos M. Saiago |
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| 490 | 1 | |a Cambridge tracts in mathematics |v 211 | |
| 520 | |a 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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| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:07Z |
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| spelling | Johnson, Charles R. Eigenvalues, multiplicities and graphs Charles R. Johnson, Carlos M. Saiago Cambridge Cambridge University Press 2018 1 Online-Ressource (xxii, 291 Seiten) txt c cr Cambridge tracts in mathematics 211 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. Saiago, Carlos M. Erscheint auch als Druck-Ausgabe 9781107095458 |
| spellingShingle | Johnson, Charles R. Eigenvalues, multiplicities and graphs |
| title | Eigenvalues, multiplicities and graphs |
| title_auth | Eigenvalues, multiplicities and graphs |
| title_exact_search | Eigenvalues, multiplicities and graphs |
| title_full | Eigenvalues, multiplicities and graphs Charles R. Johnson, Carlos M. Saiago |
| title_fullStr | Eigenvalues, multiplicities and graphs Charles R. Johnson, Carlos M. Saiago |
| title_full_unstemmed | Eigenvalues, multiplicities and graphs Charles R. Johnson, Carlos M. Saiago |
| title_short | Eigenvalues, multiplicities and graphs |
| title_sort | eigenvalues multiplicities and graphs |
| work_keys_str_mv | AT johnsoncharlesr eigenvaluesmultiplicitiesandgraphs AT saiagocarlosm eigenvaluesmultiplicitiesandgraphs |