Fixed the initial condition of forward sweep

latex/problems/problem6.tex

@@ -17,6 +17,7 @@ Following Thomas algorithm for gaussian elimination, we first perform a forward
         \State $n \leftarrow$ length of $\vec{b}$
         \State $\vec{\hat{b}}$, $\vec{\hat{g}} \leftarrow$ vectors of length $n$.
         \State $\hat{b}_{1} \leftarrow b_{1}$ \Comment{Handle first element in main diagonal outside loop}
+        \State $\hat{g}_{1} \leftarrow g_{1}$
         \For{$i = 2, 3, ..., n$}
         \State $d \leftarrow \frac{a_{i}}{\hat{b}_{i-1}}$ \Comment{Calculating common expression}
         \State $\hat{b}_{i} \leftarrow b_{i} - d \cdot c_{i-1}$