Example 1 (from Program LA_SYSV_EXAMPLE)

$$A = \left( \begin{array}{rrrrr} 0 & 2 & 3 & 5 & 4 \\ 2 &... ...2 & 63 \\ 23 & 46 & 69 \\ 32 & 64 & 96 \end{array} \right)$$

Arrays ${\bf A}$ and ${\bf B}$ on entry:

$$\begin{array}{c} {\bf A} \\ \begin{array}{\vert rrrrr\ver... ...3 & 46 & 69 \\ 32 & 64 & 96 \\ \hline \end{array} \end{array}$$

Elements marked $\ast$ are not used by the routine. The call:
CALL LA_SYSV( A, B, IPIV=IPIV )

${\bf A}$, ${\bf B}$ and ${\bf IPIV}$ on exit:

$$\begin{array}{c} {\bf A} \\ \begin{array}{\vert lllll\ver... ...\;\;\;\;\;\; \ast & 8.00000 \\ \hline \end{array} \end{array}$$

$$\begin{array}{cc} {\bf B} \\ \begin{array}{\vert rrr\vert... ...\hline 1 \\ 2 \\ 3 \\ 4 \\ 5 \\ \hline \end{array} \end{array}$$

The solution of the system $A\,X = B$ is:

$$X = \left( \begin{array}{rrr} 1.00000 & 2.00000 & 3.00000 ... ...3.00000 \\ 1.00000 & 2.00000 & 3.00000 \end{array} \right).$$