1*55a74a43SLisandro Dalcin\begin{equation*} 2*55a74a43SLisandro Dalcin\begin{split} 3*55a74a43SLisandro Dalcin& cg(A,x,b,i_{max},\epsilon): \\ 4*55a74a43SLisandro Dalcin& \quad i \Leftarrow 0 \\ 5*55a74a43SLisandro Dalcin& \quad r \Leftarrow b - A x \\ 6*55a74a43SLisandro Dalcin& \quad d \Leftarrow r \\ 7*55a74a43SLisandro Dalcin& \quad \delta_{0} \Leftarrow r^T r \\ 8*55a74a43SLisandro Dalcin& \quad \delta_{ } \Leftarrow \delta_{0} \\ 9*55a74a43SLisandro Dalcin& \quad \text{while}\;\; i < i_{max} \text{ and } \\ 10*55a74a43SLisandro Dalcin& \quad\quad\qquad \delta_{ } > \delta_{0} \epsilon^2 \text{ do} :\\ 11*55a74a43SLisandro Dalcin& \quad\quad\quad q \Leftarrow Ad \\ 12*55a74a43SLisandro Dalcin& \quad\quad\quad \alpha \Leftarrow \frac{\delta_{ }}{d^T q} \\ 13*55a74a43SLisandro Dalcin& \quad\quad\quad x \Leftarrow x + \alpha d\\ 14*55a74a43SLisandro Dalcin& \quad\quad\quad r \Leftarrow r - \alpha q\\ 15*55a74a43SLisandro Dalcin& \quad\quad\quad \delta_{old} \Leftarrow \delta_{ } \\ 16*55a74a43SLisandro Dalcin& \quad\quad\quad \delta_{ } \Leftarrow r^T r \\ 17*55a74a43SLisandro Dalcin& \quad\quad\quad \beta \Leftarrow \frac{\delta_{ }}{\delta_{old}} \\ 18*55a74a43SLisandro Dalcin& \quad\quad\quad d \Leftarrow r + \beta d\\ 19*55a74a43SLisandro Dalcin& \quad\quad\quad i \Leftarrow i + 1 20*55a74a43SLisandro Dalcin\end{split} 21*55a74a43SLisandro Dalcin\end{equation*} 22