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arXiv · 1405.7024

The uniform normal form of a linear mapping

Richard Cushman
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Abstract

Let $V$ be a finite dimensional vector space over a field $\mathrm{k}$ of characteristic $0$. Let $A$ be a linear mapping of $V$ into itself. This paper gives a normal form for $A$, which gives a better description of the structure of $A$ than the companion matrix. The computation of this normal form uses only operations from $\mathrm{k}$ and does not require finding roots of any polynomial.

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Richard Cushman. 2014-05-27. The uniform normal form of a linear mapping. https://arxiv.org/abs/1405.7024

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