An Explicit Jordan Decomposition of Companion Matrices

F.S.V. Bazán, S. Gratton

Abstract


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.

References


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DOI: https://doi.org/10.5540/tema.2006.07.02.0209

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Trends in Computational and Applied Mathematics

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