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Invariant forms on complex manifolds with application to holomorphic mappings

✍ Scribed by Eric Bedford

Publisher
Springer
Year
1983
Tongue
English
Weight
829 KB
Volume
265
Category
Article
ISSN
0025-5831

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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 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Let A be an n × 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 n×k be co