DGEEVX Example

To find all the eigenvalues and right eigenvectors of the matrix

A = $$\left(\vphantom{ \begin{array}{rrrr} 0.35 & 0.45 & -0.14 & -0.1... ... & -0.33 & -0.03 & 0.17 \\ 0.25 & -0.32 & -0.13 & 0.11 \end{array} }\right.$$$$\begin{array}{rrrr} 0.35 & 0.45 & -0.14 & -0.17 \\ 0.09 & 0.0... ... -0.44 & -0.33 & -0.03 & 0.17 \\ 0.25 & -0.32 & -0.13 & 0.11 \end{array}$$$$\left.\vphantom{ \begin{array}{rrrr} 0.35 & 0.45 & -0.14 & -0.1... ... & -0.33 & -0.03 & 0.17 \\ 0.25 & -0.32 & -0.13 & 0.11 \end{array} }\right)$$,

together with estimates of the condition number and forward error bounds for each eigenvalue and eigenvector. The option to balance the matrix is used. In order to compute the condition numbers of the eigenvalues, the left eigenvectors also have to be computed, but they are not printed out in this example.

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