Sentence examples for by analyzing the eigenvalues from inspiring English sources

The value of r can be automatically selected by analyzing the eigenvalues of scatter matrices computed from the PCA [26].

This paper is organized as follows: In Section 2, we first focus on the stability of the equilibria and Hopf bifurcation by analyzing the eigenvalues.

In this section, we research the stability of the equilibria and Hopf bifurcation by analyzing the eigenvalues of the system (1.2).

In addition, by analyzing the eigenvalues of the semi-discretized system in one dimension, we discuss the spectral properties of the hybrid DG/FV schemes to explain the super-convergence phenomenon.

In the literature [8], [10], [11], one mostly studies this topic by analyzing the eigenvalues of the Jacobian matrix of the equilibrium points of the model.

In this study, the local stability of the biochemical system was investigated by analyzing the eigenvalues of its Jacobian matrix J given by (7) where NR and L are the reduced stoichiometric matrix and link matrix, respectively [ 30].

In the case of a neural network with hub and ring structure, the stability of the equilibrium state is investigated by analyzing the eigenvalue of the corresponding characteristic matrix for the hub and ring structured fractional-order time delay models using a Laplace transformation for the Caputo-fractional derivatives.

The method is based on analyzing the eigenvalues of the covariance matrix of input signals.

Moreover, we also obtain the stability of the positive solution by analyzing the distribution of the eigenvalues, which was not considered by Alves et al. [13].

By analyzing the distribution of the eigenvalues, the dynamics of the system when (R_{1}>1) is investigated.

By analyzing the number of significant eigenvalues minimizing the AIC, one is able to conclude on the nature of the sensed sub-band.