null matrix

null matrix

[′nəl ′mā·triks]
(mathematics)
The matrix all of whose entries are zero.
References in periodicals archive ?
This matrix has in the upper right corner 2 x 4 null matrix and in the lower right corner a 4 x 4 matrix [[DELTA].sub.[alpha]] satisfying
[R.sub.12] is an N x N null matrix, and [R.sub.22] is an N x N identity matrix.
Small bold letter represents a vector, the capital bold letter represents matrix, and I represents the identity matrix while O represents the null matrix.
While this claim is true, it needs to be noted that the zero in this equation is a square null matrix rather than a scalar.
In this case the matrix [m.sup.i.sub.R[theta]] is the null matrix which means that the matrix [B.sub.i] is also the null matrix.
The initial matrix [G.sub.0] in Algorithm 8 is taken as the null matrix and the termination criterion is [[parallel][Y.sub.k+1] - [Y.sub.k][parallel].sub.F] [less than or equal to] [epsilon] = 2.22 x [10.sup.-16] or [[parallel][Z.sub.k+1] - [Z.sub.k][parallel].sub.F] [less than or equal to] 2.22 x [10.sup.-16].
In FTTP, [H.sub.B] is set as null matrix. Cognitive Science findings suggest that if Player 1 chooses an action, Player 1 would tend to think that Player 2 will choose the same decision; [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is constructed in a special way.
[I.sub.K-L] [member of] [R.sup.(K-L)x(K-L)] and 0 [member of] [R.sup.(K-L)xL] denote the identity matrix and null matrix, respectively, and the matrix Q is given by
In the first place, initiate a statistical matrix G [member of] [R.sup.nxm] into null matrix; the computation procedure of G is as shown in Procedure 2.
According to (3) and (4) and letting [DELTA]M be a null matrix a scattering characteristic of a tuned filter which is depicted in Figure 2 may be calculated.
Obviously, [A.sup.c.sub.i], i [greater than or equal to] N + 1 will be equal to null matrix of order mxm and similarly, for [V.sup.c.sub.i,k], i [greater than or equal to] N + 1.