It is implied that the fusion center needs the
augmented matrix computation ability.
We denote by [??] = [A B] [member of] [R.sup.mx(n+k)] the
augmented matrix of (3); this is the matrix obtained from A by adding matrix B.
If the rank of B's is the same as that of the
augmented matrix (B's|y), B'sa' = y is a consistent equation, and there exist infinite solution a'=[B'.sup.-.sub.s] y + (I-[B'.sup.-.sub.s][B'.sub.s])d that satisfy B'sa'=y, where [B'.sup.-.sub.s] is the matrix 1-inverse of B's and d is an arbitrary nonzero vector of length k [Mayer 2001].
The
augmented matrix [S.sub.m] := [U [V.sub.m]] contains as columns the basis for U and [K.sub.m] ([PA.sub.p], [r.sub.0]).
After many trials
augmented matrix of size M x N, given by equation (3), formed by combining identity matrix of size M x M, and zero matrix of size M x (N - M), was found to extract necessary information selectively since it has unity values in the leading diagonal.
Each
augmented matrix [F.sub.i] has n-rows and n-columns; n equals the total number of distinct concepts used by the experts.
The
augmented matrix equation expressed in generalized coordinates is
Note that received transfer units containing coefficient vectors and coded data blocks should be organized as an
augmented matrix in which a transfer unit constitutes a row such that the progressive decoding/GE can be run on the matrix.
The responses of the circuits computed by means of MATLAB and the standard ordinary differential equation (ODE) integration routines are assumed as the reference curves in this study.The reference curves are compared with the solution obtained by means of the linear inversion of the
augmented matrix equation like (29).
To obtain the solution of (1) under conditions (2), by replacing the rows in matrix (39) by the last m rows of matrix (41), we have the required
augmented matrix