Sentence examples for matrix satisfy the from inspiring English sources

It should be noted that both the first and second eigenvalues of the input covariance matrix satisfy the above equation.

Finally, we process the matrix orthogonal normalization to make the matrix satisfy the conditions for RIP approximately.

Now by virtue of Theorem 3.1, all elements of the th row of Green's matrix satisfy the inequalities for and, using [14], we can conclude that for.

Then problem (5.1), (5.3) is uniquely solvable for every summable and, and the elements of the th row of its Green's matrix satisfy the inequalities: for while for.

there exists an absolutely continuous vector function such that    for and the solution of the homogeneous equation (    for satisfying the conditions    is nonpositive; the boundary value problem (3.1) is uniquely solvable for every summable and and elements of the nth row of its Green's matrix satisfy the inequalities: for while for.

For the fractional-order error system in the form (41), by adding a linear controller and letting the feedback gain matrix satisfy the conditions of Corollary 2, the error system can be stabilized to the equilibrium point, i.e. the drive system and response system are asymptotically synchronized.

Below, we show that the symmetrized error covariance matrix satisfies the Riccati equation (12).

And, reference [14] proves that the Toeplitz matrix satisfies the RIP.

Hence, the measurement matrix satisfies the RIP, making it possible to recover the sparse Gabor coefficient matrix perfectly.

We demonstrate the block-RIP of the NYFR deterministically by using the property that the Toeplitz matrix satisfies the RIP.

As shown in expression 8, the 9 * 2 matrix satisfies the following conditions: left[begin{array}{c}1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1end{array}right] (8) 1.