S. Grudsky

activity

20032026

most citedOn a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium

41 citations · 122 across the 18 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.NA2026

Condition numbers of block Toeplitz matrices and stability of space-time IgA approximations for the wave and Schrödinger equations

Manuel Bogoya, Albrecht Böttcher, Matteo Ferrari +2

In previous work by several authors, the behavior of the condition numbers of banded Toeplitz matrices was studied as the matrix size tends to infinity. In the present contribution…

math.SP2026

Eigenvalues of the tetradiagonal Toeplitz matrices with diagonals 1, 0, 0, 1

Sergei M. Grudsky, Román Higuera-García, Egor A. Maximenko +1

We perform a thorough analysis of the eigenvalues of tetradiagonal Toeplitz matrices of large order $n$ generated by the Laurent polynomial $a (t) = t^{2} + t^{- 1}$ . The spectra of these…

math.SP2026

Eigenvalues of one family of tridiagonal skew-self-adjoint Toeplitz matrices with complex perturbations on the corner

C. Bernardin, S. M. Grudsky, E. A. Maximenko +1

In this paper, we study the eigenvalues of the matrices $T_{n} (a) + γ E_{n, 1, 1}$ where $T_{n} (a)$ is the Toeplitz matrix with generating symbol $a (t) = t - t^{- 1}$ , $E_{n, 1, 1}$ is the $n\time…