The action of the constraint forces over the systems component masses is defined by the constraint matrix
W [member of] [[reals].sup.nxm] ([W.sup.T] = J, the Jacobian) which may be obtained by assembling the constraint vectors w.
in which C is the constraint matrix
and F is the corresponding response constraint vector.
Specifically, we use Q to denote constraint matrix
, where Q(i, j) = 1 if edge ([v.sub.i], [v.sub.j]) [member of] [E.sub.ML], Q(i, j) = -1 if edge ([v.sub.i], [v.sub.j]) [member of] [E.sub.CL], otherwise.
The shape of the household constraint matrix
is as follows:
The Lagrangian method for contact modeling, where nonpenetration condition is strictly and exactly satisfied and the contact force is represented by constraint matrix
and Lagrange multipliers, has also attracted attentions from a lot of researchers [10-13].
Based on Chinese word segmentation based syntax and semantics of the constraint matrix
Chinese word segmentation algorithm and design and a segmentation system.
The graph coloring spectrum allocation model can be described by channel availability matrix, channel reward matrix, interference constraint matrix
, and conflict free channel assignment matrix .
Therefore the spectrum allocation model of cognitive wireless network can be expressed in the following matrices: leisure spectrum matrix L (Leisure), benefit matrix B (Benefit), constraint matrix
C (Constraint), and allocation matrix A (Allocation).
C and f are respectively the constraint matrix
and the response vector, which specify the known constraints and the required responses that must be satisfied by the solution.
The weights of an LCMP beamformer are chosen to minimize the output power of the beamformer which subjects to a set of m linear constraints of the form [C.sup.H]w = f, where C is the N x m constraint matrix
, and f is the m x 1 vector of constraint values.
The first four columns of Table 1 present the problem code, the number of rows (constraints), the number of columns (decision variables) and the best known cost value for each instance (IP optimal), and the density (percentage of ones in the constraint matrix