Is every matrix similar to a polynomial in a companion matrix?
نویسندگان
چکیده
منابع مشابه
Is Every Matrix Similar to a Toeplitz Matrix?
We show that every n × n complex nonderogatory matrix is similar to a unique unit upper Hessenberg Toeplitz matrix. The proof is constructive, and can be adapted to nonderogatory matrices with entries in any field of characteristic zero or characteristic greater than n. We also prove that every n× n complex matrix with n ≤ 4 is similar to a Toeplitz matrix.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.04.049