To prove the estimation performance of the presented algorithm, we compare the estimation performance with that of the two-step localization method and the subspace
method with the help of Monte Carlo experiments.
Through the one-to-one relationship between manifolds and vector spaces, a linear subspace
corresponds to a linear manifold of smaller dimension than the manifold in which it is embedded that passes through the origin.
[H.sub.[infinity]] of system (1) is integrable.
In  and  it was shown that FEAST can be seen as subspace
iteration with the matrix P.
where [mathematical expression not reproducible] is the projection matrix of the noise subspace
. For (7), there are generally p pairs of roots that symmetrically distribute around the unit circle.
But the subspace
identification algorithm can solve the relationship between the input and interference at the same time, because the relation between the two related function sequences cannot be completely determined, which leads to the higher dimension of the input matrix of the subspace
computation matrix .
Qu, "Conditional Lie-Backlund symmetries and invariant subspaces
to non-linear diffusion equations," IMA Journal of Applied Mathematics, vol.
For k [member of] N, consider a sequence of Krein space contractions [A.sub.k] : [H.sub.k] [right arrow] [K.sub.k], where [H.sub.k] and [K.sub.k] are nested regular subspaces
of some Krein spaces U and Y, respectively.
. It was introduced by Tim Ho  and consists of several base classifiers each operating in randomly chosen subspaces
of the original feature space.
Then, if the feature subspaces
of the ensemble classifier were made up of a few of these feature vectors, these subspaces
will have a larger diversity.
(ii) L(Z) is embedded as a topological vector subspace
of L(G) if and only if Z is metrizable and zero-dimensional.
Estimate a restored image in the J-dimensional subspace
spanned by (EQUATION) as the form of