Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13630
Title: | The change in eigenvalue multiplicity associated with perturbation of a diagonal entry of the matrix | Authors: | Johnson, Charles R. Duarte, António Leal Saiago, Carlos M. |
Keywords: | Eigenvalue multiplicity; Submatrices; Hermitian matrices; Graph | Issue Date: | 2009 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 09-48 (2009) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 09-48 | Place of publication or event: | Coimbra | Abstract: | Here we investigate the relation between perturbing the i-th diagonal entry of A 2 Mn(F) and extracting the principal submatrix A(i) from A with respect to the possible changes in multiplicity of a given eigenvalue. A complete description is given and used to both generalize and improve prior work about Hermitian matrices whose graph is a given tree. | URI: | https://hdl.handle.net/10316/13630 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
The change in eigenvalue multiplicity.pdf | 164.22 kB | Adobe PDF | View/Open |
Page view(s)
317
checked on Oct 15, 2024
Download(s)
70
checked on Oct 15, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.