The file ratematrix.py contains Python code to calculate the sparse matrix elements of the transition rate matrix for a given Cantera .cti model and find eigenvalues and eigenvectors. The plot.nb file is a Mathematica notebook for plotting results. The folder mechanisms contains a few .cti mode...
{pmatrix}-2\\1\\0\end{pmatrix}$ So for the eigenvalue $\lambda_1=2$ its all eigenvectors are $k_1\xi_1 \ (k_1\neq 0, k_1\in P)$ In a same way, all eigenvalues and eigenvector are $latex(var["A"].eigenvects()) = \left[ \left( 2, \ 1, \ \left[ \left[\...
A total of m or less components must be selected to comprise the chosen subspace. Ideally, we would select k eigenvectors, called principal components, that have the k largest eigenvalues. 1 B = select(values, vectors) Other matrix decomposition methods can be used such as Singular-Value Dec...