Similarity transformations between some companion matrices

被引：1
|
作者：
Nedzhibov, Gyurhan H. [1 ]
机构：
[1] Univ Shumen, Fac Math & Informat, Shumen 9700, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14) | 2014年 / 1631卷
关键词：
Companion matrix; Similarity transformation; Vandermonde matrix; Smiths matrix; Werner matrix; VANDERMONDE MATRIX; LU FACTORIZATION; INVERSE; ZEROS;
D O I：
10.1063/1.4902501
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider the similarity transformations between some of the well known generalized companion matrices. We specify the similarity transformations between Frobenius, Smiths and Werners companion matrices. From the LU-decomposition of the Vandermonde matrix we obtain the similarity transformation matrices between the Newton basis companion matrix and the matrices mentioned.
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页码：375 / 382
页数：8
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