An Explicit Jordan Decomposition of Companion Matrices
We derive a closed form for the Jordan decomposition of companion matrices including properties of generalized eigenvectors. As a consequence, we provide a formula for the inverse of confluent Vandermonde matrices and results on sensitivity of multiple roots of polynomials.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2006-06-01
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| Series: | Trends in Computational and Applied Mathematics |
| Online Access: | https://tcam.sbmac.org.br/tema/article/view/248 |