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

Authors:
Zhiping Xiong;Bing Zheng
Affiliations:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 2
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Eigenvalues and Jordan canonical form of a successively rank-one updated complex matrix with applications to Google's PageRank problem

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Abstract

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.