
06504428
j
2015f.00777
Fujii, Kazuyuki
Oike, Hiroshi
A superintroduction to Google matrices for undergraduates.
Far East J. Math. Educ. 14, No. 1, 5568 (2015).
2015
Pushpa Publishing House, Allahabad, Uttar Pradesh, India
EN
H65
R55
Google matrices
eigenvalue 1
PageRank vector
linear algebra
http://www.pphmj.com/abstract/9087.htm
Summary: In this paper, we consider socalled Google matrices and show that all eigenvalues $\lambda$ of them have a fundamental property $\lambda\leq 1$. The stochastic eigenvector corresponding to $\lambda=1$ called the PageRank vector plays a central role in the Google's software. We study it in detail and present some important problems.{ }The purpose of the paper is to make the heart of Google clearer for undergraduates.