\documentclass[11pt]{article} \usepackage[margin=1.2in]{geometry} \usepackage[utf8]{inputenc} \usepackage[english]{babel} \usepackage[T1]{fontenc} \usepackage{fourier} \usepackage{amsthm} \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{latexsym} \usepackage{graphicx} \usepackage{float} \usepackage{etoolbox} \usepackage{hyperref} \usepackage{tikz} \usepackage{lipsum} \usepackage{algorithm} \usepackage{algpseudocode} \usepackage{mathtools} \usepackage{nccmath} \usepackage[most]{tcolorbox} \newtcolorbox[auto counter]{problem}[1][]{% enhanced, breakable, colback=white, colbacktitle=white, coltitle=black, fonttitle=\bfseries, boxrule=.6pt, titlerule=.2pt, toptitle=3pt, bottomtitle=3pt, title=GitHub repository of this project} \newcommand{\R}{\mathbb{R}} \newcommand{\N}{\mathbb{N}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\C}{\mathbb{C}} % add counters \title{Shifted Power-GMRES method for solving PageRank with multiple damping factors} \author{Luca Lombardo} \date{} \begin{document} \maketitle \begin{abstract} \noindent In the years following its publication in 1998, the PageRank model has been studied deeply to be extended in fields such as chemistry, biology and social network analysis. The aim of this project is the implementation of a modified version of the Power method to solve the PageRank problem with multiple damping factors as proposed in \cite{SHEN2022126799}. \end{abstract} \tableofcontents \clearpage \include{intro.tex} \include{shifted.tex} \include{shift_GMRES.tex} \include{num.tex} \clearpage \bibliographystyle{unsrt} \bibliography{ref} \nocite{*} \end{document}