In contrast, since the proposed framework uses matrix operations
, especially if combining the matrix operation
features of Matlab, the time cost does not increase too much when the number of nodes becomes large.
Indeed, our homomorphic multiplication will not cause the tangly modulus problem existent in Costache and Smart's solution , because these two different modular operations (in terms of moduli _p) can be partitioned by our matrix operation
but cannot be by the tensor product used by them.
Furthermore, we deduce the indexing simplified ML detector of the algebraic orthogonal USTM constellation which only needs to operate several complex-values and get rid of the matrix operation
. In Section 6, we show the simulation testing results between the searching and algebraic orthogonal USTM constellations which indicate that the searching constellation is superior to the algebraic that in both chordal Frobenius distance spectrum and performance with regard to symbol error probability and signal noise ratio.
In the above matrix operation
[cross product], an element [t.sub.ik] is calculated as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Fuzzy matrix operation
for R is carried out with the fuzzy judgment matrix B of the system being obtained:
(15) and (16) without the requirement of any matrix operation
Although PCA expresses several distinctive outcomes, one of the drawbacks is over a high complexity due to larger matrix operation
. A large amount of memory is also required since the memory requirement grows with the image quality, high resolution, and the number of training images used for image matching or classification [10, 11].
We solve the matrix operation
identification problem for matrix multiplication of different kinds as well as matrix addition and subtraction.
time dependent ones) then system of equations cannot be solved by the methods using the matrix operation
. As a solver for their solution the following numerical methods can serve, completed by fictitious exciting functions method making possible numerical solution of this DE system with nonstationary matrices , , .
we have implemented matrix operation
algorithms based on row partition experiment in order to further gain to inside .
Another well-known matrix operation
closely resembling the reorderable matrix permutation is Gaussian elimination, where rows and columns are multiplied by and subtracted from each other.
To achieve homomorphic matrix operation
, the pubic key of matrix GSW-FHE scheme includes the ciphertexts that encrypt partial information of the secret key, so the matrix GSW-FHE scheme resorts to circular security assumption, but formal circular security proof was not given, and it remains an open problem.