6a3fa469-6a41-4c0b-b87b-e593fec1574820250919083426580wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON COMPUTERS2224-28721109-275010.37394/23205http://wseas.org/wseas/cms.action?id=40261720251720252410.37394/23205.2025.24https://wseas.com/journals/computers/2025.phpAhmedKanberDepartment OF informatique CRMEF MARRAKECH Rue Mozdalifa 40100 MOROCCOThis 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.9192025919202514815615https://wseas.com/journals/computers/2025/a305105-015(2025).pdf10.37394/23205.2025.24.15https://wseas.com/journals/computers/2025/a305105-015(2025).pdfA. N. Langville and C. D. Meyer Google’s PageRank and Beyond:, The Science of Search Engine Rankings, Princeton University Press, 2006. 10.1137/1.9780898718164M. W. Berry and M. Browne Understanding Search Engines, Mathematical Modeling and Text Retrieval, 2nd Edition, SIAM, , 2005.s. Jasmine Novak, Andrew Tomkins , John Tomlin PageRank Computation and the Structure of the Web: Experiments and Algorithms,Arvind Arasu Computer Science Department, Stanford University, CA 94305 C. D. Manning, P. Raghavan, and H. Schütze, Introduction to Information Retrieval, Cambridge University Press, 2008. J.SAVOY A learning scheme for information retrieval in Hypertext. Information Processing Management, CAT.INIST, vol. 30, no 4, 1994. S. Deerwester, S. T. Dumais, G. W. Furnas, T. K. Landauer, and R. Harshman Indexing by Latent Semantic Analysis, Journal of the American Society for Information Science, 41(6):391–407, 1990. Sergey Brin et Lawrence Page The anatomy of a large-scale hypertextualWeb search engine, Computer Networks and ISDN Systems, 30(1–7) :107–117,1998. A.H.Bentbib, A.Kanber Block Power Method for SVD Decomposition , An.Univ. Ovidius Constanta, Vol. 23(2),2015, 45–58. Agrégation externe de mathématiques Épreuve de modélisation, option B : Calcul Scientifique Texte public, 2019 G. Salton, A. Wong, and C. S. Yang A Vector Space Model for Automatic Indexing, Communications of the ACM, 18(11):613–620, 1975. 10.1145/324133.324140J.M.Kleinberg Authoritative Sources in a Hyperlinked Environment:, Journal of the ACM, Vol. 46, No. 5, September 1999, pp. 604–632., 1999.