Sentence examples for matrices is defined from inspiring English sources
The class of quasiseparable matrices is defined by the property that any submatrix entirely below or above the main diagonal has small rank, namely below a bound called the order of quasiseparability.
This combination, determined by the allocation matrices, is defined by a set of N indices {r1,…,r N } such that ∏ n = 1 N ϕ r n, r ( n ) = 1.
The Thompson metric on the open convex cone (P(N)) ((Ngeq2)), the set of all (Ntimes N) Hermitian positive definite matrices, is defined by d(A,B =maxbigl{ log M(A/B),log M(B/A bigr}, (4.2) where (M(A/B)=inf{lambda>0 Aleqlambda B}=lambda _{mathrm{max}}(B^{-1/2}AB^{-1/2} B^{-1/2}AB^{-1/2} B^{-1/2}AB^{-1/2}/2}AB^{-1/2}).
Multiplication of two matrices is defined if and only if the number of columns of the left matrix is the same as the number of rows of the right matrix.
The Karcher mean of SPD matrices is defined as the barycenter of these matrices on the manifold of SPD matrices with its Riemannian geometry.
Not all of the transfer matrices are defined for some countable set of energies.
Often, risk matrices are defined using numerical values for event severity and likelihood levels.
These coefficient matrices are defined in Eqs.
where matrices, are defined as (3.46).
The channel basis matrices are defined as (9) and (10).
With this assumption, the correlation matrices are defined as.
