The uniform normal form of a linear mapping

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• 作者：Richard Cushman ^{r.h.cushman@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A21
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：512
• 期：Complete
• 页码：249-255
• 全文大小：243 K

文摘

This paper gives a normal form for a linear mapping of a finite dimensional vector space over a field of characteristic 0 into itself, which yields a better description of its structure than the classical companion matrix. Finding this normal form does not use any factorization of the characteristic polynomial of the linear mapping and requires only a finite number of operations in the field to compute.