Example (from Program LA_GEEVX_EXAMPLE)

The results below are computed with $\epsilon = 1.19209 \times 10^{-7}$.
Matrix $A$ is the same as in Example 1 for LA_GEEV.

The call:

CALL LA_GEEVX( A, WR, WI, 'B', ILO, IHI, SCALE, & 


ABNRM, RCONDE, RCONDV )

${\bf ILO, IHI, SCALE, ABNRM, RCONDE}$ and RCONDV on exit:

$$\begin{array}{c} \\ \begin{array}{cc} {\bf ILO} = 1 & {\bf ... ... 1.00000 & 1.00000 & 1.00000 \\ \hline \end{array} \end{array}$$

$$\begin{array}{c} {\bf ABNRM} = 2.10000 \times 10^{1} \end{array}$$

$$\begin{array}{cc} {\bf RCONDE} \\ \begin{array}{\vert rrrr... ...-1} & 3.57990 \times 10^{-1} \\ \hline \end{array} \end{array}$$

$$\begin{array}{cc} {\bf RCONDV} \\ \begin{array}{\vert rrrr... ... 2.33094 & 1.68955 & 1.10553 \\ \hline \end{array} \end{array}$$

Matrix $A$ did not need balancing.

The $l_{1}$ norm of matrix $A$ is 21.

The reciprocal condition numbers of the eigenvalues are:

$$\left( \begin{array}{rrrrr} 5.50280 \times 10^{-1} & 5.5028... ...3 \times 10^{-1} & 3.57990 \times 10^{-1} \end{array} \right).$$

The reciprocal condition numbers of the right eigenvectors are:

$$\left( \begin{array}{rrrrr} 5.02587 & 5.02587 & 2.33094 & 1.68955 & 1.10553 \end{array} \right).$$