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\title{Shifted Power-GMRES method for solving PageRank with multiple damping factors}
\author{Luca Lombardo}
\date{}

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\begin{abstract}
    \noindent In the years following its publication in 1998, the PageRank model has been studied deeply to be extended to different forms and applications. 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}. At the end, will be proposed an algorithm to solve the PageRank problem with multiple damping factors using the Shifted Power-GMRES method. This last one, has not been fully implemented yet, so the numerical results are not presented.
\end{abstract}

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\include{intro.tex}
\include{shifted.tex}
\include{shift_GMRES.tex}
\include{num.tex}

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