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Google矩陣和它的性質(zhì)

發(fā)布時(shí)間:2018-10-31 13:23
【摘要】:網(wǎng)頁(yè)等級(jí)(PageRank)是一個(gè)反映網(wǎng)頁(yè)重要性的數(shù)值.當(dāng)一個(gè)網(wǎng)頁(yè)A連向另一個(gè)網(wǎng)頁(yè)B的時(shí)候,A就等于給網(wǎng)頁(yè)B投了有效的一票.一個(gè)網(wǎng)頁(yè)接受的票越多,這個(gè)網(wǎng)頁(yè)就越重要.同時(shí),給網(wǎng)頁(yè)B投票的網(wǎng)頁(yè)本身的等級(jí)也決定了該選票的重要性.Google通過(guò)每張選票本身重要性和得票多少來(lái)計(jì)算一個(gè)網(wǎng)頁(yè)的級(jí)別(重要性).Google的核心就是計(jì)算每一個(gè)網(wǎng)頁(yè)的等級(jí)(即PageRank).本文主要介紹Google矩陣的定義和產(chǎn)生,解釋PageRank的一些相關(guān)概念,證明Google矩陣及其第二特征值具有的一些性質(zhì),并簡(jiǎn)要介紹這些性質(zhì)的應(yīng)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.
【作者單位】: 安徽大學(xué)數(shù)學(xué)與計(jì)算科學(xué)學(xué)院 安徽大學(xué)數(shù)學(xué)與計(jì)算科學(xué)學(xué)院
【分類(lèi)號(hào)】:O151.21
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本文編號(hào):2302350

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