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The eigenvalue problem of a specially updated matrix. (English) Zbl 1113.15010
Authors’ summary: We study the eigenvalue problem for a specially structured rank-\(k\) updated matrix, based on the Sherman-Morrison-Woodbury formula.

15A18 Eigenvalues, singular values, and eigenvectors
15B57 Hermitian, skew-Hermitian, and related matrices
Full Text: DOI
[1] Brin, S.; Page, L., The anatomy of a large-scale hypertextual web search engine, Computer networks and ISDN systems, 30, 1-7, 107-117, (1998)
[2] J. Ding, A. Zhou, Eigenvalues of rank-one updated matrices and an application to Google matrices, submitted for publication.
[3] L. Eldén, A note on the eigenvalues of the Google matrix, Report LiTH-MAT-R-04-01, 2003.
[4] T.H. Haveliwala, S.D. Kamvar, The second eigenvalue of the Google matrix, Technical Report, Computer Science Department, Stanford University, 2003.
[5] A.N. Langville, C.D. Meyer, Fiddling with pagerank, Technical Report, Department of Mathematics, North Carolina State University, 2003.
[6] Langville, A.N.; Meyer, C.D., Deeper inside pagerank, Internet mathematics, 1, 335-380, (2004) · Zbl 1098.68010
[7] Langville, A.N.; Meyer, C.D., A survey of eigenvector methods for web information retrieval, SIAM review, 47, 135-161, (2005) · Zbl 1075.65053
[8] L. Page, S. Brin, R. Motwani, T. Winograd, The PageRank citation ranking: bringing order to the Web, Stanford Digital Library Working Papers, 1998.
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