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...
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge tracts in mathematics
211 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781316155158 https://doi.org/10.1017/9781316155158 https://doi.org/10.1017/9781316155158 https://doi.org/10.1017/9781316155158 https://doi.org/10.1017/9781316155158 https://doi.org/10.1017/9781316155158 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 |
| DOI: | 10.1017/9781316155158 |
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| 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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| id | DE-604.BV044925581 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:14:25Z |
| institution | BVB |
| isbn | 9781316155158 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030318758 |
| oclc_num | 1029529691 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-92 DE-384 DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xxii, 291 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO TUM_Einzelkauf ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spellingShingle | Johnson, Charles R. 1948- Saiago, Carlos M. Eigenvalues, multiplicities and graphs Cambridge tracts in mathematics Eigenvalues Matrices Symmetric matrices Trees (Graph theory) Matrix Mathematik (DE-588)4037968-1 gnd Eigenwert (DE-588)4151200-5 gnd Eigenwertverteilung (DE-588)4123087-5 gnd |
| subject_GND | (DE-588)4037968-1 (DE-588)4151200-5 (DE-588)4123087-5 |
| 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 |
| topic | Eigenvalues Matrices Symmetric matrices Trees (Graph theory) Matrix Mathematik (DE-588)4037968-1 gnd Eigenwert (DE-588)4151200-5 gnd Eigenwertverteilung (DE-588)4123087-5 gnd |
| topic_facet | Eigenvalues Matrices Symmetric matrices Trees (Graph theory) Matrix Mathematik Eigenwert Eigenwertverteilung |
| url | https://doi.org/10.1017/9781316155158 |
| volume_link | (DE-604)BV047362617 |
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