This paper deals with the important notion of majorization. We study majorization for
matrices, and focus on (0, 1)-matrices. We prove several results concerning such matrix …

We obtain a complete characterization of linear operators that preserve strong majorization
on (0, 1)-matrices. To do this we introduce a new matrix invariant of combinatorial nature …

In the theory of matrix majorizations there are three types of majorizations that play an
important role. These are weak, strong and directional majorizations for matrices. In this …

In this paper, the minus matrix partial order is considered to introduce the concept of minus
partial ordered control systems. The transmission of the reachability property under this …

In this paper, we consider weak, directional and strong matrix majorizations. Namely, for
square matrices A and B of the same size we say that A is weakly majorized by B if there is a …

Let A, B be n× m matrices. The concept of matrix majorization means the j th column of A is
majorized by the j th column of B and this is done for all j by a doubly stochastic matrix D. We …

В работе рассматриваются слабая, направленная и сильная мажоризации матриц. А
именно, говорят, что матрица A слабо мажорируется матрицей B, если найдется такая …

The paper investigates linear functionals ϕ: ℝ n→ ℝ preserving a set ℳ⊆ ℝ, ie, ϕ: ℝ n→ ℝ
such that ϕ (v)∈ ℳ for any vector u∈ ℝ n with components in ℳ. For various types of subsets …

Пусть Mn, m обозначает множество всех действительных n× m матриц, пишем Mn,
если m= n. В статье будут использоваться следующие матрицы подходящих размеров …

Recorded electroencephalography (EEG) signals can be represented as square matrices,
which have been extensively analyzed using mathematical methods to extract invaluable …