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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 |
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