The change in eigenvalue multiplicity associated with perturbation of a diagonal entry of the matrix
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 a...
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | other |
| Language: | eng |
| Published: |
2009
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10316/13630 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/13630 |
| Summary: | 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. |
|---|