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Google矩阵和它的性质

发布时间:2018-10-31 13:23
【摘要】:网页等级(PageRank)是一个反映网页重要性的数值.当一个网页A连向另一个网页B的时候,A就等于给网页B投了有效的一票.一个网页接受的票越多,这个网页就越重要.同时,给网页B投票的网页本身的等级也决定了该选票的重要性.Google通过每张选票本身重要性和得票多少来计算一个网页的级别(重要性).Google的核心就是计算每一个网页的等级(即PageRank).本文主要介绍Google矩阵的定义和产生,解释PageRank的一些相关概念,证明Google矩阵及其第二特征值具有的一些性质,并简要介绍这些性质的应用.
[Abstract]:A web level (PageRank) is a value that reflects the importance of a page. When a page A connects to another page B, A is a valid vote for page B. The more tickets a page receives, the more important it is. meanwhile The rank of the page that votes for page B also determines the importance of the ballot. Google calculates the level of a page by the importance of each ballot itself and the number of votes obtained (the core of importance). Google is to calculate each The level of a Web page (that is, PageRank).) This paper mainly introduces the definition and generation of Google matrix, explains some related concepts of PageRank, proves some properties of Google matrix and its second eigenvalue, and briefly introduces the application of these properties.
【作者单位】: 安徽大学数学与计算科学学院 安徽大学数学与计算科学学院
【分类号】:O151.21


本文编号:2302350

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