Sentence examples for minimum rank of from inspiring English sources

Maximize the minimum rank of the matrix.

IMA-ISU research group on minimum rank [8] studied the minimum rank of skew-symmetric matrices.

The diversity order of the code matrix is given by rN and is determined by the minimum rank of the correlated code matrix.

The rank criterion is to maximise the minimum rank of for any codeword and, and the eigenvalue criterion is to maximise the minimum product of the nonzero eigenvalues of.

The super-orthogonal block codes in space-time domain under FNS fading channel are designed by maximising the pairwise error probability (PEP), which is done by maximising the minimum rank of the codeword sequence matrix (equivalent to the diversity order) and the minimum determinant codeword sequence matrix (equivalent to the coding gain).

Let S be an STBC code with codeword of size N t × T. Assume s1 and s2 are two distinct codewords of S. The diversity order of S is the minimum rank of the difference matrix s1-s2 over all pairs of distinct codeword in S.

Concerning the global maximum and minimum ranks of (3.1), we have the following main results.

Establish analytical formulas for calculating the maximum and minimum ranks of the multiple matrix products in (3.65 - 3.108), and characterize the performances of these products via the rank formulas.

In particular, the maximum and minimum ranks of a given matrix-valued function do always exist when variable matrices in the function run over certain feasible sets.

The proof follows from setting the minimum ranks of the corresponding (B^{ i,ldots,j }A^{ i,ldots,j }) equal to (r(AB)).

The proof follows from setting the minimum ranks of the corresponding (B^{ i,ldots,j }A^{ i,ldots,j }) equal to zero.