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71 lines
1.8 KiB
TeX
71 lines
1.8 KiB
TeX
\documentclass[11pt]{article}
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\usepackage[margin=1.2in]{geometry}
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\usepackage[utf8]{inputenc}
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\usepackage[english]{babel}
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\usepackage[T1]{fontenc}
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\usepackage{fourier}
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\usepackage{amsthm}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{amsfonts}
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\usepackage{latexsym}
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\usepackage{graphicx}
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\usepackage{float}
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\usepackage{etoolbox}
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\usepackage{hyperref}
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\usepackage{tikz}
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\usepackage{lipsum}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{mathtools}
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\usepackage{nccmath}
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\usepackage[most]{tcolorbox}
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\newtcolorbox[auto counter]{problem}[1][]{%
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enhanced,
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breakable,
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colback=white,
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colbacktitle=white,
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coltitle=black,
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fonttitle=\bfseries,
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boxrule=.6pt,
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titlerule=.2pt,
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toptitle=3pt,
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bottomtitle=3pt,
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title=GitHub repository of this project}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\C}{\mathbb{C}}
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% add counters
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\title{Methods for solving PageRank with multiple damping factors}
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\author{Luca Lombardo}
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\date{}
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\begin{document}
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\maketitle
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\begin{abstract}
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\noindent Since its publication in 1998, the PageRank model has undergone extensive study and has been adapted for various forms and applications. The goal of this project is to implement a modified version of the Power method for solving the PageRank problem with multiple damping factors, as proposed in \cite{SHEN2022126799}. An algorithm for solving the PageRank problem with multiple damping factors using the Shifted \texttt{GMRES} method will also be proposed, although this has not yet been fully implemented and therefore no numerical results are presented.
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\end{abstract}
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\tableofcontents
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\clearpage
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\include{intro.tex}
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\include{shifted.tex}
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\include{shift_GMRES.tex}
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\include{num.tex}
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\clearpage
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\bibliographystyle{unsrt}
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\bibliography{ref}
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\nocite{*}
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\end{document}
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