 |
(1)
|
square
matrix
![A=[0 0 ... 0 -a_0; 1 0 ... 0 -a_1; 0 1 ... 0 -a_2; | | ... ... |; 0 0 ... 1 -a_(n-1)]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_up8Mk1OKrKvk8sGJRmlcWbvtek2ClUfrNMTtZbPp-50jhMGf9EHiJLk0SKBo3L1rWrgKUOK8TjDYkV4MjWIqAfEIUR324WepFYOlvVBL5AvBDXYG8mtZok1etKFT3zio5CujSg8hMzQE7gewRDRlwsg3QXh5g=s0-d) |
(2)
|
. Note that
in the literature, the companion matrix is sometimes defined with the rows and columns
switched, i.e., the transpose of the above matrix.
Wednesday, May 16, 2012
Companion Matrix
The companion matrix to a monic polynomial
is the square
matrix
with ones on the subdiagonal and the last column given by the coefficients of . Note that
in the literature, the companion matrix is sometimes defined with the rows and columns
switched, i.e., the transpose of the above matrix.
square
matrix
. Note that
in the literature, the companion matrix is sometimes defined with the rows and columns
switched, i.e., the transpose of the above matrix.
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