Approximating the Largest Eigenvalue via Powering and the Lanczos method

نویسنده

  • Jeffrey Lai
چکیده

Notation: λ1(A) = largest eigenvalue of A. Motivation: The largest eigenvalue tells us the spectrum of a matrix and thus can be somewhat useful. More crucially for the adjacency matrix of a graph, we know exactly that the all one’s vector is the largest eigenvector, and thus by working orthogonal to this vector we can approximate the second largest eigenvalue of the graph, which tells us how well connected the graph is and how nodes are clustered.

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تاریخ انتشار 2015