By using the next generation method and used spectral radius
(Van den Driessche and Watmough,2002).
Seven technical papers cover a search method using the pixel value histogram of a region of interest for illegal copy images with geometric attacks, improving the success rate of concurrent mobile transactions by predicting time for execution, the methodology and evaluation of terrain fusion based on two-dimensional images at different resolution, outsourcing electronic learning projects in museums with a case study of public museums in Taiwan, rough-fuzzy predicate calculus, a case study of overlapping community structure in co-authorship networks, and spectral radius
as a measure of variation in node degree for complex network graphs.
This method is efficient for solving system of linear equations but, however, does not converge for some systems when the spectral radius
is greater than one.
The real part of the eigenvalues of these two last matrices are included in the interval (0, 1) with a spectral radius
smaller than 1 .
We also assume that u is strictly positive such that the spectral radius
of the Jacobian [P.
Mallios proved in 1986 that a Q-algebra is characterized by a zero neighbourhood consisting of elements normalized by means of the spectral radius
According with the theory, the method converges if, and only if, the spectral radius
of the iteration matrix, defined as the maximum absolute value of the matrix eigenvalues, is smaller than one.
g) the topological spectral radius
pt is upper semicontinuous;
We call the largest eigenvalue of L(G) the Laplacian spectral radius
of the graph G, denoted by [mu](G).
The techniques currently available in the literature are mostly based on Lyapunov's direct method , contraction mapping method , nonlinear measure method [3,4], nonlinear spectral radius
method  and so on.
A variant of ADI method involving the computational parameter with the diagonal part of A studied in section 2 and the spectral radius
of it is also obtained in terms of eigen values of the matrices occurring in the coefficient matrix A in the same section.
Therefore, we suggest as a second method to optimize the spectral radius
of the multigrid iteration matrix.