D. I. Khomovsky

activity

20152026

most citedEfficient computation of terms of linear recurrence sequences of any order

3 citations · 4 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.RA2026

Toeplitz multiplication and graded factorization of determinant recurrences

Max A. Alekseyev, Dmitry I. Khomovsky

We study how determinant recurrences of banded Toeplitz matrices behave when their Laurent symbols are multiplied. Two classical structures underlie the problem. Clean banded Toepl…

math.RA2026

Symmetry reductions and recurrence degrees for banded Toeplitz determinants and permanents

Max A. Alekseyev, Dmitry I. Khomovsky

This paper studies symmetry-induced reductions of scalar recurrence complexity for balanced banded Toeplitz determinants and permanents. Three mechanisms emerge: determinant state…

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 $m_{2}$ .…