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LA_GEEV computes for a real or complex square matrix $A$, the eigenvalues and, optionally, the left and/or right eigenvectors. A right eigenvector $v_j$ of $A$ satisfies

\begin{displaymath}A \, v_j = \lambda_j \, v_j\end{displaymath}

where $\lambda_j$ is its eigenvalue. A left eigenvector $u_j$ of $A$ satisfies

\begin{displaymath}u_j^H \, A = \lambda_j \, u_j^H\end{displaymath}

where $u_j^H$ denotes the conjugate-transpose of $u_j$.

Susan Blackford 2001-08-19