S. Grudsky

works on

complex plane 1 eigenvalue asymptotics 1 numerical verification 1 spectral analysis 1 toeplitz matrices 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

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, RomÃ¡n Higuera-GarcÃa, Egor A. Maximenko +1

The paper studies the eigenvalues of large tetradiagonal Toeplitz matrices generated by the Laurent polynomial t²+t⁻¹, deriving asymptotic formulas for their distribution and confi…

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 $T_{n} (a) + I^^{3} E_{n, 1, 1}$ where $T_{n} (a)$ is the Toeplitz matrix with generating symbol $a (t) = t - t^{- 1}$ , $E_{n, 1, 1}$ is the $n\tim…