Numerical analysis
The Google matrix can be constructed also for other directed networks, e.g. for the procedure call network of the Linux Kernel software introduced in [15]. In this case the spectrum of formula_35 is described by the fractal Weyl law with the fractal dimension formula_36 (see Fig.5 from ). Numerical analysis shows that the eigenstates of matrix formula_31 are localized (see Fig.6 from ). Arnoldi iteration method allows to compute many eigenvalues and eigenvectors for matrices of rather large size [13].