### Abstract

Language | English |
---|---|

Pages | 192-197 |

Number of pages | 5 |

Journal | Mathematics Today |

Volume | 39 |

Publication status | Published - 28 Aug 2003 |

### Fingerprint

### Keywords

- search algorithms
- pagerank
- jacobi iteration
- numerical mathematics

### Cite this

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*Mathematics Today*, vol. 39, pp. 192-197.

**The sleekest link algorithm.** / Higham, Desmond J.; Taylor, Alan.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The sleekest link algorithm

AU - Higham, Desmond J.

AU - Taylor, Alan

PY - 2003/8/28

Y1 - 2003/8/28

N2 - How does Google decide which web sites are important? It uses an ingenious algorithm that exploits the structure of the web and is resistant to hacking. Here, we describe this PageRank algorithm, illustrate it by example, and show how it can be interpreted as a Jacobi iteration and a teleporting random walk. We also ask the algorithm to rank the undergraduate mathematics classes offered at the University of Strathclyde. PageRank draws upon ideas from linear algebra, graph theory and stochastic processes, and it throws up research-level challenges in scientific computing. It thus forms an exciting and modern application area that could brighten up many a mathematics class syllabus.

AB - How does Google decide which web sites are important? It uses an ingenious algorithm that exploits the structure of the web and is resistant to hacking. Here, we describe this PageRank algorithm, illustrate it by example, and show how it can be interpreted as a Jacobi iteration and a teleporting random walk. We also ask the algorithm to rank the undergraduate mathematics classes offered at the University of Strathclyde. PageRank draws upon ideas from linear algebra, graph theory and stochastic processes, and it throws up research-level challenges in scientific computing. It thus forms an exciting and modern application area that could brighten up many a mathematics class syllabus.

KW - google

KW - search algorithms

KW - pagerank

KW - jacobi iteration

KW - numerical mathematics

M3 - Article

VL - 39

SP - 192

EP - 197

JO - Mathematics Today

T2 - Mathematics Today

JF - Mathematics Today

SN - 1361-2042

ER -