17
Gaussian Elimination
0
x
x
x
x
.
.
.
Standard Way
subtract a multiple of a row
0
x
0
0
. . .
0
LINPACK
apply sequence to a column
x
nb
,          then apply nb to rest of matrix
a3=a3-a1*a2
a3
a2
a1
L
a2 =L-1 a2
0
x
0
0
. . .
0
nb
                       LAPACK
apply sequence to nb