They use the matrices which satisfy a generalized quadratic algebra.
Hence we may assume that the matrices ( b i, k n, γ ) are arbitrary non-negative matrices which satisfy (10).
REMARK 2. As mentioned before we may assume that the matrices ( d k, j γ, m ), γ = 0, 1,..., m, m ≥ 0 are arbitrary non-negative matrices which satisfy (16).
Note that the matrices ((d_{k, j}^{gamma, m})), (gamma =0,1,ldots,m), (mgeq0), are arbitrary non-negative matrices which satisfy (11) (see [22]).
where ∏ is a permutation matrix, and Δ 1, Δ 2, and Δ 3 are diagonal scaling matrices which satisfy Δ 1, Δ 2, Δ 3 = I K. N 1, N 2, and N 3 are estimation errors.
Steiner and Xue [21] investigated the Max-TSP on van der Veen matrices and established that the problem stays NP-hard even on the class of distance matrices which satisfy both the van der Veen and Demidenko conditions.
Hydrophilic polymers, in particular cellulose derivatives, have been widely used in the formulation of hydrogel matrices which satisfy the key criteria for the development of controlled-release oral solid dosage forms.
By solving the minimization problem (B.8) H (p e (t ) ) = arg min H ¯ ‖ H ¯ − H ˆ (p e (t ) ) ‖ 2 subject to the constraint (B.7), we obtain the local Hessian matrices which satisfy condition (B.7) and guarantee the fulfillment of the twist compatibility condition (9).
As a result, each node uses ± I K as the precoding matrix which satisfies the cumulative law used in (17).
Let (B=(b_{ij})_{ntimes n}) be a real symmetric matrix which satisfies conditions in Theorem 3.1.
