Article | REF: AF1527 V1

The Ranking of Nodes in Networks

Authors: Claude Brezinski, Michela Redivo-Zaglia

Publication date: April 10, 2017

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4. Acceleration of the power method

As we said, the speed of convergence of the power method is governed by c n . To speed up the sequence of vectors it provides, we're going to transform it into another sequence without modifying the iterations.

From Property 4, r c = Q m –1 (A c )v, where Π m (λ) = (λ – 1)Q m-1 (λ) is the minimal polynomial of A c for the vector v. We have :

rc=A
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Acceleration of the power method