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Lecture 12 LU Decomposition - Ohio University …
www.math.ohiou.eduLecture 12 LU Decomposition In many applications where linear systems appear, one needs to solve Ax = b for many di erent vectors b. For instance, a structure must be tested under several di erent loads, not just one.
11. LU Decomposition - University of California, Davis
www.math.ucdavis.eduNext, use the rst row of U 0 to zero out the rst entry of every row below it. For our running example, U 0 = M= 0 B @ 6 18 3 2 12 1 4 15 3 1 C A, so the second row minus 1 3 of the rst row will zero out the rst entry in the second row. Likewise, the third row minus 2 3 of the rst row will zero out the rst entry in the third row. Set L