Application of the power method to Web Search Engine: RankPage and Content Model

This work studies models and algorithms used by Internet search engines to evaluate the relevance of search results and display them in order of importance. These methods are rooted in linear algebra and can be interpreted in terms of graph theory. This text presents the foundational ideas, key theorems, and an iterative algorithm for assigning two types of scores (content and link) to web pages. We also discuss the conditions under which the algorithm converges and is ”well-posed.” Finally, we present an improved variant of the approach that takes into account higher-order connections between pages.