Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix
Several relative condition numbers that exploit tridiagonal form are derived. Some of them use tridiagonal factorization instead of the matrix entries. A novel empirical condition number is used to show when perturbations are so large that the eigenvalue response is not linear. Some interesting exam...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/17063 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/17063 |
| Summary: | Several relative condition numbers that exploit tridiagonal form are derived. Some of them use tridiagonal factorization instead of the matrix entries. A novel empirical condition number is used to show when perturbations are so large that the eigenvalue response is not linear. Some interesting examples are examined in detail. |
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