\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015f.00777}
\itemau{Fujii, Kazuyuki; Oike, Hiroshi}
\itemti{A superintroduction to Google matrices for undergraduates.}
\itemso{Far East J. Math. Educ. 14, No. 1, 55-68 (2015).}
\itemab
Summary: In this paper, we consider so-called 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.
\itemrv{~}
\itemcc{H65 R55}
\itemut{Google matrices; eigenvalue 1; PageRank vector; linear algebra}
\itemli{http://www.pphmj.com/abstract/9087.htm}
\end