T] with respect to the row degrees starting from the lowest that can be done by means of multiplication by the permutation matrix
n] be the permutation matrix
representing [sigma], where [delta] denotes the Kronecker delta.
Canary (2010) has shown that LASM (T) is a permutation matrix
if and only if it is the matrix for a Baxter permutation.
By inserting a permutation matrix
U, a reverberation matrix R is generated as R=SPU to represent the wave propagation and dynamic characteristics of the entire structure.
17] proposed a propagator method to estimate state vector, but it was complicated to find a special permutation matrix
3) have the MSSS structure, there exists a permutation matrix
[PSI] that permutes the saddle-point matrix with MSSS blocks into a single MSSS matrix.
By regrouping V2 and obtaining a submatrix with full rank, it determines the permutation matrix
P so that,
The power-normalized signal, BR, is multiplied with an N x N row permutation matrix
, M, followed by an N x N diagonal power allocation matrix, P = diag ([square root of ([p.
w]) of the permutation w is the subset of [n] x [n] consisting of those elements not directly to the south or east (respectively, south or west) of an entry in the permutation matrix
Where [rho] be the permutation matrix
obtained by exchanging the ([summation].
Following  one can easily construct a permutation matrix
Formally, introducing a permutation matrix
P and its inverse into the mixing process in Equation 1.