How to find the eigenvalues and eigenvectors using LAPCK sofware? To be precise, I know how to find the numerical eigenvalues and eigenvectors using LAPACK. But, suppose I have two coupled eigenvalue ode's then how can I find the eigenvalues and eigenvectors using LAPACK. If possible can anybody refer to some worked examples using very complex equations. N.B. My problem is that both eigenvalue and eigenvector are complex nonsysmmetric matrices.