Sentence examples for matrices the optimal from inspiring English sources

For the first-order regularization, both for the radial and horizontal constrained matrices, the optimal parameter is situated between 10−12 and 10−11.

In addition, for S 1, the equivalent channel (widehat {mathbf {H}}_{1}), since the terms (mathbf {L}^{mathrm {T}}_{1}), (mathbf {L}^{mathrm {T}}_{2}), R 1, and R 2 are upper triangular matrices, the optimal F D,i should be an upper triangular matrix.

For the low dimension AC matrix, the optimal permutation matrix can be obtained efficiently by using Hungarian algorithm.

Given any traffic matrix, the optimal joint sequences that do exist can produce the lowest average packet delay.

In order to make the MSE matrix as a diagonal matrix, the optimal matrices W 1 and W 2 should be chosen as [12] begin{array}{*{20}l} mathbf{W}_{1}=bar{mathbf{V}}_{1}mathbf{Sigma}_{1}, end{array} (20).

Owing to the porous structure of the supporting matrix, the optimal sample gave the highest sensitivity of 3.91 with short response time of only 9 s.

Corresponding to the highest measured mechanical strengths of UHPC matrix, the optimal contents of NS and NC are around 1.0%and3.0%0%, respectively.

Based on the spectral condition number of the Hankel matrix, the optimal sensor locations (OSLs) can be determined, and the effect of noise on the OSLs is investigated using the matrix perturbation theory.

Having formulated the gradient vector as well as the Hessian matrix, the optimal mechanical and geometric characteristics satisfying the considered mass, stiffness and vibroacoustic performance criteria are sought by employing Newton׳s optimization method.

With suitable choice of weighing matrices in the optimal control design, required fairness and throughput are ensured in the network.

Figure 7 shows L-curve plots for various regularization matrices, where the optimal regularization parameter is between 10−11 and 10−10 when zero-order regularization is applied.