Eigenvalues, multiplicities and graphs / Charles R. Johnson, Carlos M. Saiago.
Material type:
TextSeries: Cambridge tracts in mathematics ; 211.Publisher: Cambridge : Cambridge University Press, 2018Description: 1 online resource (xxii, 291 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781316155158 (ebook)Subject(s): Eigenvalues | Matrices | Symmetric matrices | Trees (Graph theory)Additional physical formats: Print version: : No titleDDC classification: 512.9/434 LOC classification: QA193 | .J64 2018Online resources: Click here to access online Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Ebooks
|
Mysore University Main Library | Not for loan | EBCU475 |
Title from publisher's bibliographic system (viewed on 12 Feb 2018).
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.
There are no comments on this title.