How google works?

Lotfipour, Maryam

doi:10.22108/msci.2018.110135.1270

How google works?

Document Type : Translation Paper

Author

Maryam Lotfipour

Department of Mathematics and Applications - Fasa University - Fars - Iran

10.22108/msci.2018.110135.1270

Abstract

This paper is a translation of the the following paper into Persian:
C. Roussau, How Google works? klein vignette (www.kleinproject.org)
In this writing, the Google ranking algorithm is examined and the mathematical methods used in it are explained. Here, an important application of the Banach fixed-point theorem is presented and by using the proof technique of this theorem, the required fixed point in the Google ranking algorithm is obtained.

Main Subjects

Analysis

References

[1] M. Eisermann, Comment Google classe les pages webb, http://images.math.cnrs.fr/comment-Google-classe-les-pages.html, 2009.
[2] A. N. Langville and C. D. Meyer, A Survey of Eigenvector Methods for Web Information Retrieval, SIAM Review, 47 (2005) 135–161.
[3] C. Rousseau and Y. Saint-Aubin, Mathematics and technology, SUMAT Series, Sptinger-Verlag, (A French version of the book exists, published in the same series.) 2008.