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Comments on "Jordan Canonical Form of the Google Matrix"

✍ Scribed by Wu, Gang; Wei, Yimin

Book ID
118215355
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
165 KB
Volume
30
Category
Article
ISSN
0895-4798

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Eigenvalues and Jordan canonical form of
Eigenvalues and Jordan canonical form of a successively rank-one updated complex matrix with applications to Google's PageRank problem
✍ Gang Wu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 153 KB

Let A be an n Γ— n complex matrix with eigenvalues 1 , . . . , n counting algebraic multiplicities. Let X = [x 1 , . . . , x k ] be a rank-k matrix such that x 1 , . . . , x k are right eigenvectors of A corresponding to 1 , . . . , k for 1 k n, respectively, and V =[v 1 , . . . , v k ] ∈ C nΓ—k be co