Sentence examples for satisfy rank from inspiring English sources

Moreover, and satisfy rank and the self-adjoint condition [2, Lemma ].

The optimal W for f 1 must satisfy Rank(W =1.

If the information beamforming matrix satisfies rank (W ∗)=1, the solution turns out to be optimal.

The proposed approach is based on the resolution of LMI and the filter design requires to satisfy a rank condition.

To satisfy the rank requirement of a multiplexing system, we assume M ≤ N and M ≤ R.

When the matrices ((boldsymbol{varPhi}^{i}_{k})), (kinmathbb{I}^{i}), (i = 1,ldots, M), satisfy the rank restricted isometry property [24], the trace norm relaxation converges to the true solution of (32), provided that the number of measurements is of order (mathcal{O} (operatorname{dim}(mathcal{H}_{1} log (operatorname{dim }( mathcal{H}_{1} ) ) )) [24].

The length of the subframe was determined to satisfy the rank-1 property [53].

If the matrix A satisfies a rank condition, this problem has a unique, sparse solution.

(iii) An explicit formula for the required tuning function is given, provided the regressor matrix satisfies some rank conditions.

From (11), notice that for F(x t ) to be full rank and hence nonsingular, at least one matrix must satisfy ∃ k : rank G k ⊙ ∂ τ k ∂ x t 1 G k ⊙ ∂ τ k ∂ x t 1 T ≥ 1, k = 1, 2, 3. (12).

Then, the optimal solution G k of problem (Pε) and Z k of problem (Dε) satisfy 1 ≤ rank G k ≤ M − 1, (10) 1 ≤ rank Z k ≤ M − 1. (11).