6 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…
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop conjectures: the preconditioned setting
Manuel Bogoya, Stefano Serra-Cappizano, Paris Vassalos
Under appropriate technical assumptions, the simple-loop theory allows to deduce various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generate…
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory
M. Bogoya, S. E. Ekström, S. Serra-Capizzano
Under appropriate technical assumptions, the simple-loop theory allows to deduce various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generated by a func…
Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations
M. Bogoya, S. Serra-Capizzano
The eigenvalues of Toeplitz matrices with a real-valued symbol , satisfying some conditions and tracing out a simple loop over the interval , are known to adm…
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…