Triangular matrix: Difference between revisions

Revision as of 16:26, 27 January 2005

Revision as of 01:01, 30 March 2005

Line 30:

The matrix

:<math> \mathbf{L}_n_{i} =

\begin{bmatrix}

1 & & & & & 0 \\

& \ddots & & & & \\

& & 1 & & & \\

& & l_{ni+1,ni} & \ddots & & \\

& & \vdots & & \ddots & \\

0 & & l_{n,ni} & & & 1 \\

\end{bmatrix}

</math>

is called '''atomic lower triangular''' matrix, with

:<math> \mathbf{U}_n_{i} =

\begin{bmatrix}

1 & & & l_{1,ni} & & 0 \\

& \ddots & & \vdots & & \\

& & \ddots & l_{ni-1,ni} & & \\

& & & 1 & & \\

& & & & \ddots & \\