41 citations · 122 across the 18 of their papers we have counts for
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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…
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…
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
M. Bogoya, S. M. Grudsky, S. Serra-Capizzano +1
In the present note we consider a type of matrices stemming in the context of the numerical approximation of distributed order fractional differential equations (FDEs): from one si…
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems
M. Bogoya, S. M. Grudsky, M. Mazza +1
The analysis of the spectral features of a Toeplitz matrix-sequence , generated by a symbol , real-valued almost everywhe…