Solution of Equilibrium Equations in Static Analysis: LDLT Solution ...
Solution of Equilibrium Equations in Static Analysis: LDLT Solution ...
Solution of Equilibrium Equations in Static Analysis: LDLT Solution ...
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LDL T <strong>Solution</strong><br />
The successive matrix operations dur<strong>in</strong>g a Gauss elim<strong>in</strong>ation can be<br />
cast <strong>in</strong>to a general form, which h leads, likewise, i to the reduction <strong>of</strong> K<br />
to an upper triangular form, S,<br />
− 1 − 1 − 1<br />
Ln− 1......<br />
L2 L1<br />
K =<br />
S<br />
where<br />
1<br />
L i<br />
-1<br />
=<br />
.<br />
.<br />
.<br />
1<br />
-l i+1,i .<br />
with<br />
l<br />
k<br />
() i<br />
i+<br />
j,<br />
i<br />
i+ j, i<br />
=<br />
() i<br />
k ii<br />
-l i+2,i .<br />
… .<br />
-l n,i 1<br />
Gauss factors for the matrix<br />
L<br />
...... L L K<br />
− 1 − 1 −<br />
1<br />
i−1 2 1<br />
15-Jun-07<br />
Method <strong>of</strong> F<strong>in</strong>ite Elements I<br />
11
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