Differences

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--- tutorial_lud [2015/10/06 16:09]
sanjay
+++ tutorial_lud [2015/10/06 16:12]
sanjay [Step 3 : Equations]
@@ Line 9: / Line 9: @@
 L_{i,j}=\begin{cases}
-=j<i & \frac{A_{i,j}}{U_{j,j}}\\
+= i\le j & \frac{A_{i,j}}{U_{j,j}}\\
-<j<i & \frac{1}{U_{j,j}}(A_{i,j}-\sum_{k=1}^{j-1}L_{i,k}U_{k,j})
+< i\le j & \frac{1}{U_{j,j}}(A_{i,j}-\sum_{k=1}^{j-1}L_{i,k}U_{k,j})
 \end{cases}$
 </latex>
-[Temp note: in the last case of L, the condition is "1 < j <= i"]
+[Temp note due to : in the last case of L, the condition is "1 < j <= i"]
 =====Writing Alphabets=====
@@ Line 143: / Line 143: @@
 L = case
    {i,j|1==j} : (A / (i,j->j,j)@U);
-   {i,j|1<i} : (A - reduce(+, (i,j,k->i,j), (i,j,k->i,k)@L*(i,j,k->k,j)@U))/(i,j->i,i)@U;
+   {i,j|1<i} : (A - reduce(+, (i,j,k->i,j), (i,j,k->i,k)@L*(i,j,k->k,j)@U))/(i,j->j,j)@U;
 esac;
 </sxh>

AlphaZ