ARPACK-NG is a collection of Fortran77 subroutines designed to solve large scale eigenvalue problems. mandatory dependenciesoptional dependenciescategory BLAS, LAPACKMPI, Eigen3, Boost.PythonLinearAlgebra About
Using the data from the files, I can solve the problem with SciPy (Python). Since this is a FEA problem, I've also solved it in Abaqus CAE, so I know for a fact that both eigenvalues and eigenvectors are correctly calculated in SciPy: ...
Finally, we have an eigenvalue problem we can solve! Let’s dive in! AT LAST, THE GOOD STUFF: CODE LANDING LIBRARIES & PREPARING PARAMETERS We’re now at the final stretch where we can make all our lives easier just using code. For this section, I’m assuming you have Python 3...
There's a ton of literature on estimating / bounding the second largest magnitude eigenvalue as it gives an estimate on the rate of the convergence. I had a bunch more typed on the matter -- the results are extra nice since OP's transition matrix is symmetric -- b...