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Randomized algorithm to determine the eigenvector of a stochastic matrix with application to the PageRank problem

✍ Scribed by A. V. Nazin; B. T. Polyak


Book ID
110153311
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
178 KB
Volume
72
Category
Article
ISSN
0005-1179

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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