On the eigenvalues of a specially rank-r updated complex matrix

On the eigenvalues of a specially rank-r updated complex matrix
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DOI:
10.1016/j.camwa.2009.02.027
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发表时间:
2009-05
期刊:
Comput. Math. Appl.
影响因子:
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通讯作者:
Zhiping Xiong;B. Zheng
Zhiping Xiong;B. Zheng
中科院分区:
其他
文献类型:
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作者:
Zhiping Xiong;B. Zheng

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本文提出了一种特殊结构的 R 阶更新复矩阵的特征值定理的另一种更简单的证明,并且其特征多项式由 m-D 系统的 Leverrier 算法显式确定。
In this paper, an alternatively simpler proof to an eigenvalue theorem of a specially structured rank-r updated complex matrix is presented and also its characteristic polynomial is explicitly determined by Leverrier’s algorithm for m–D system.