The largest eigenvalue of the matrix is known as its spectral radius.
Hence, it can be determined through the computation of the largest eigenvalue of a coefficient matrix.
The latter α value is very close to the upper limit calculated from the largest eigenvalue of A (see subsection "Parameter values" in Methods).
This paper proposes a method for a fast estimation of the largest eigenvalue of an asymmetric tridiagonal matrix.
The basic reproductive ratio that represents the epidemic indicator is obtained from the largest eigenvalue of the next generation matrix.
The effect of the second largest eigenvalue of the expected communication matrix on the convergence rate is quantified.
In another method, namely, canonical correlation analysis, the largest eigenvalue of the above matrix is tested for activation detection.
The largest eigenvalue of the adjacency matrix (spectral radius) reflects the critical coupling strength required to synchronize the system.
Gelation is predicted to occur when the largest eigenvalue of the transition matrix Q defined in the text reaches unity.
It is shown that the maximum allowable time delay depends on the largest eigenvalue of the interaction graph Laplacian, event-checking period and one protocol parameter.
The spectral radius of a graph (i.e., the largest eigenvalue of its corresponding adjacency matrix) plays an important role in modeling virus propagation in networks.
