Example 2 (from Program LA_SBGV_EXAMPLE)

Matrices $A$ and $B$ as in Example 1.

Arrays ${\bf AB}$ and ${\bf BB}$ on entry:

$$\begin{array}{cc} {\bf AB} \\ \begin{array}{\vert rrrrr\v... ... & 0 \\ -5 & 2 & 0 & 0 & 0 \\ \hline \end{array} \end{array}$$

The call:
CALL LA_SBGV( AB, BB, W, 'L', Z, INFO )

W, INFO and Z on exit:

$$\begin{array}{c} {\bf W} \\ \begin{array}{\vert l\vert} \... ...y} \hspace{1.50 cm} \begin{array}{c} {\bf INFO} = 0 \end{array}$$

$$\begin{array}{c} {\bf Z} \\ \begin{array}{\vert lllll\ver... ...} & -2.73340 \times 10^{-1} \\ \hline \end{array} \end{array}$$

The eigenvalues of the problem $A\, z=\lambda \, B\, z$ are:

$$\left( \begin{array}{l} -2.95028 \\ -2.60316 \times 10^{-1... ...341 \times 10^{-1} \\ \;\;\; 1.12617 \\ \end{array} \right).$$

The eigenvectors are:

$$\left( \begin{array}{l@{\hspace{2mm}}l@{\hspace{2mm}}l@{\hsp... ...es 10^{-2} & -2.73340 \times 10^{-1} \\ \end{array} \right).$$