D. I. Khomovsky

activity

20182026

collaborators

3 papers

math.RA2026

Constructive recurrences for determinants and permanents of banded Toeplitz matrices

Max A. Alekseyev, Dmitry I. Khomovsky

For fixed nonnegative integers $m_{1}, m_{2}$ , let $A_{n} = (a_{j - i})_{i, j = 1}^{n}$ be the leading $n \times n$ section of a Toeplitz matrix with lower and upper semibandwidths $m_{1}$ and $m_{2}$ .…

math.NT2020

On natural densities of sets of some type integers

Dmitry I. Khomovsky

Let $a_{0} = b_{0} = 0$ and $0 < a_{1} \leq b_{1} < a_{2} \leq b_{2} < \dots \leq b_{n}$ be integers. Let $Q (x; ⋃_{j = 1}^{n} [a_{j}, b_{j}])$ be the number of integers between $1$ and $x$ such th…

math.NA2018

On using symmetric polynomials for constructing root finding methods

Dmitry I. Khomovsky

We propose an approach to constructing iterative methods for finding polynomial roots simultaneously. One feature of this approach is using the fundamental theorem of symmetric pol…