A Note on the Eigenvalues of the Google Matrix
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2004
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912655588982784 |
|---|---|
| author | Eldén, Lars |
| author_facet | Eldén, Lars |
| contents | The Google matrix is a positive, column-stochastic matrix that is used to compute the pagerank of all the web pages on the Internet: the eigenvector corresponding to the eigenvalue 1 is the pagerank vector. Due to its huge dimension, of the order of billions, the (presently) only viable method to compute the eigenvector is the power method. For the convergence of the iteration, it is essential to know the eigenvalue distribution of the matrix. A theorem concerning the eigenvalues was recently proved by Langville and Meyer. In this note another proof is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0401177 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | A Note on the Eigenvalues of the Google Matrix Eldén, Lars Rings and Algebras Numerical Analysis 15A51; 15A18 The Google matrix is a positive, column-stochastic matrix that is used to compute the pagerank of all the web pages on the Internet: the eigenvector corresponding to the eigenvalue 1 is the pagerank vector. Due to its huge dimension, of the order of billions, the (presently) only viable method to compute the eigenvector is the power method. For the convergence of the iteration, it is essential to know the eigenvalue distribution of the matrix. A theorem concerning the eigenvalues was recently proved by Langville and Meyer. In this note another proof is given. |
| title | A Note on the Eigenvalues of the Google Matrix |
| topic | Rings and Algebras Numerical Analysis 15A51; 15A18 |
| url | https://arxiv.org/abs/math/0401177 |