diff --git a/tex/main.pdf b/tex/main.pdf index 95a6c27..b32f37c 100644 Binary files a/tex/main.pdf and b/tex/main.pdf differ diff --git a/tex/num.tex b/tex/num.tex index 64aecca..00ab85b 100644 --- a/tex/num.tex +++ b/tex/num.tex @@ -51,7 +51,7 @@ This function is strongly based on the \texttt{pagerank\_scipy} function of the In the PageRank formulation involving multiple damping factors, the iterative solution of each $i$-th linear system is initialized with the initial guess $x_0^{(i)} = v$ and is terminated when the solution $x_k^{(i)}$ meets the following criteria: \begin{equation*} - \frac{\lVert (1 - \alpha_i)v - (I - \alpha_i \tilde P x_k^{(i)} \rVert_2}{\lVert x_k^{(i)} \rVert_2} < 10^{-6} + \frac{\lVert (1 - \alpha_i)v - (I - \alpha_i \tilde P x_k^{(i)}) \rVert_2}{\lVert x_k^{(i)} \rVert_2} < 10^{-6} \end{equation*} or the number of matrix-vector products exceeds $200$. \vspace*{0.5cm}