41 citations · 122 across the 18 of their papers we have counts for
19 papers
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…
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 generated by the Laurent polynomial . The spectra of these…
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 where is the Toeplitz matrix with generating symbol , is the $n\time…
Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge
S. M. Grudsky, E. A. Maximenko, A. Soto-González
We study the individual behavior of the eigenvalues of the laplacian matrices of the cyclic graph of order , where one edge has weight , with $\operatorname{Re}(…
Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices
M. Bogoya, S. M. Grudsky, S. Serra-Capizzano
The present work is devoted to the eigenvalue asymptotic expansion of the Toeplitz matrix whose generating function is complex valued and has a power singularity at…
Realization of the inverse scattering transform method for the Korteweg-de Vries equation
Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba
A method for practical realization of the inverse scattering transform method for the Korteweg-de Vries equation is proposed. It is based on analytical representations for Jost sol…