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.

The

subspace [H.sub.[infinity]] of system (1) is integrable.

In [9] and [26] 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 [19].

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.

Random

Subspace. It was introduced by Tim Ho [20] 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