Sentence examples for classes of matrices from inspiring English sources

In Section 2, we introduce our classes of matrices and their properties.

Some spectral properties of these two classes of matrices are discussed in the paper.

In this paper we summarize what is known about the number of equivalence classes of matrices having maximal determinant.

Now, we will give some lemmas characterized some classes of matrices related to the c R 2, ∞.

It is a noticeable problem to generalize inequality (1.1) for totally nonnegative matrices to other classes of matrices.

Such classes of matrices are wider than those which have been previously studied in the theory of discrete Hardy-type inequalities.

Furthermore, some classes of matrix mappings on/in the space f ( G ) are characterized.

Finally, some classes of matrix mappings on the space λ B ( r ˜, s ˜ ) are characterized.

Furthermore, the beta and gamma dual spaces of the new spaces are determined and some classes of matrix transformations are characterized.

They have determined the β- and γ-duals of the new spaces f ˜ 0 and f ˜, and they characterize some classes of matrix transformations on/in the new sequence spaces.

In this section, we give two theorems characterizing the classes of matrix transformations from the sequence space f ( G ) into any given sequence space μ and from any sequence space μ into the given sequence space f ( G ).