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Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
tutorial_lud [2015/10/06 16:09] sanjay |
tutorial_lud [2016/12/12 10:12] waruna Changed the latex notation to support new dokuwiki |
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The equation for LU Decomposition, | The equation for LU Decomposition, | ||
- | < | + | |
- | $U_{i, | + | /*< |
+ | $$ | ||
+ | | ||
1=i\le j & A_{i,j}\\ | 1=i\le j & A_{i,j}\\ | ||
1<i\le j & A_{i, | 1<i\le j & A_{i, | ||
- | \end{cases} | + | \end{cases}\\ |
L_{i, | L_{i, | ||
- | 1=j<i & \frac{A_{i, | + | 1 = i\le j & \frac{A_{i, |
- | 1<j<i & \frac{1}{U_{j, | + | 1< i\le j & \frac{1}{U_{j, |
- | \end{cases}$ | + | \end{cases} |
- | </latex> | + | $$ |
+ | /*<\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===== | =====Writing Alphabets===== | ||
Line 143: | Line 147: | ||
L = case | L = case | ||
| | ||
- | | + | |
esac; | esac; | ||
</ | </ |