History

Help on query formulation
Summary: In this paper, we consider so-called Google matrices and show that all eigenvalues $λ$ of them have a fundamental property $|λ|\leq 1$. The stochastic eigenvector corresponding to $λ=1$ 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.