Sentence examples for bound of the largest from inspiring English sources

A bound of the largest singular value of the perturbation matrix is obtained as the robust consensus condition.

3) Changing the question from finding sets with a given property to finding the lower bound of the largest number in a set with a given property and number of elements of such a set.

On the basis of Theorem 2, we obtain another sharp bound of the largest Z-eigenvalue for a weakly symmetric nonnegative tensor.

The result, providing also a lower bound on the localization length of the eigenfunctions and an upper bound on the largest eigenvalue of the Hamiltonian, in an important contribution to the rigorous (de localization theory for random Schrödinger operators.

Comparing Corollary 2.1 and Theorem of Paulauskas and Skučaitė [10], it can be found that they give the lower bound of the precise large deviations of (S_{n}, ngeq1), under different conditions.

The following result will still consider the WOD r.v.s (X_{i}) with finite means (mu_{i}), (igeq1), and only use Assumption 1 and some other conditions, without using Assumption 3, to obtain a lower bound of the precise large deviations of the partial sums (S_{n}), (ngeq1).

For the lower bound of the precise large deviations of the partial sums (S_{n}), (ngeq1), of the WOD r.v.s, when (mu_{i}=0), (igeq1), under Assumptions 1 and 3 and some other conditions, Theorem 2 of Wang et al. [20] obtained a lower bound: for every fixed (gamma>0), liminf_{ntoinfty}{inf_{xgeqgamma n}}frac {P(S_{n}>x)}{sum_{i=1}^{n} L_{F_{i}}overline{F_{i}}(x)} geq1.

The proposed antenna selection method uses a bound on the largest singular value of the channel matrix based on the Gerschgorin circle.

Moreover, the Lagrangian relaxation method was proposed to find a proper lower bound of the problem for large instances.

Based on this LMI approach, an estimate of the largest bound of the frequency of cycles of the second kind can be explicitly computed by solving a generalized eigenvalue minimization problem.

For the case of phase damping decoherence, a larger sampling period is given when the lower bound of the target coherence is large enough.