منابع مشابه
Google Pageranking Problem: The Model and the Analysis
Let A be a given n-by-n complex matrix with eigenvalues λ, λ2, . . . , λn. Suppose there are nonzero vectors x, y ∈ Cn such that Ax = λx, y∗A = λy∗, and y∗x = 1. Let v ∈ Cn be such that v∗x = 1, let c ∈ C, and assume that λ 6= cλj for each j = 2, . . . , n. Define A(c) := cA+(1− c)λxv∗. The eigenvalues of A(c) are λ, cλ2, . . . , cλn. Every left eigenvector of A(c) corresponding to λ is a scala...
متن کاملGoogle Pageranking Problem: the Model and the Analysis
The spectral and Jordan structures of the web hyperlink matrix G(c) = cG + (1 − c)evT have been analyzed when G is the basic (stochastic) Google matrix, c is a real parameter such that 0 < c < 1, v is a nonnegative probability vector, and e is the all-ones vector. Typical studies have relied heavily on special properties of nonnegative, positive, and stochastic matrices. There is a unique nonne...
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ژورنال
عنوان ژورنال: Chemical & Engineering News Archive
سال: 2007
ISSN: 0009-2347,2157-4936
DOI: 10.1021/cen-v085n045.p003