Sentence examples for by a permutation matrix from inspiring English sources

In this step, a random permutation is first applied to each vector Cx t by a permutation matrix P. Then the permuted vectors (measurements) PCx t are each subsampled utilizing a subsampling matrix S t to generate the compressed (dimension-reduced) measurements a t = S t PCx t.

(Note that the identity matrix can be replaced by a permutation matrix. For the simplicity of the notation, in the rest of the paper will be used).

A mixed integer programming model of this problem is transformed into a CTCNN computation architecture by introducing a permutation matrix expression.

Proof By assumption, there exists a permutation matrix U such that U ∗ A U = [ A A A A ], U ∗ A − 1 U = [ A − 1 A − 1 A − 1 A − 1 ] ∈ H ( n ).

Algebraically, this means that we are only interested in features of the associated matrix that are unaffected by similarity transformations via a permutation matrix.

An interesting property of the PATH algorithm is the fact that estimate a permutation matrix by first solving a relaxed problem.

where, (19). is obtained by the identity matrix by reversing the column order, and is a permutation matrix given as.

In order to define which data stream should be transmitted by the RS to which node in the -th BC phase, a permutation matrix is used.

A permutation matrix is introduced as an intermediate variable to be solved by using a deterministic annealing and the barrier method.

Note that is a permutation matrix.

Fortunately, using a permutation matrix, we have generated the measurement matrix and received pilot subcarriers.