26 citations · 71 across the 12 of their papers we have counts for
12 papers
Spectral properties of flipped Toeplitz matrices
Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3
We study the spectral properties of flipped Toeplitz matrices of the form , where is the Toeplitz matrix generated by the function and $Y…
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3
Let be a sequence of finite multisets of real numbers such that as , and let …
On the eigenvalues of Toeplitz matrices with two off-diagonals
Sven-Erik Ekström, David Meadon
Consider the Toeplitz matrix generated by the symbol , where $\hat{f}_r, \hat{f}_0, \hat{f}_{-s}…
Theoretical results for eigenvalues, singular values, and eigenvectors of (flipped) Toeplitz matrices and related computational proposals
Giovanni Barbarino, Sven-Erik Ekström, Stefano Serra-Capizzano +1
In a series of recent papers the spectral behavior of the matrix sequence is studied in the sense of the spectral distribution, where is the main antidiagonal…
A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices
Matthias Bolten, Sven-Erik Ekström, Isabella Furci +1
The first focus of this paper is the characterization of the spectrum and the singular values of the coefficient matrix stemming from the discretization with space-time grid for a…
Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators
Armando Coco, Sven-Erik Ekström, Giovanni Russo +2
When approximating elliptic problems by using specialized approximation techniques, we obtain large structured matrices whose analysis provides information on the stability of the…
Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of Structured Matrices
Matthias Bolten, Sven-Erik Ekström, Isabella Furci +1
A powerful tool for analyzing and approximating the singular values and eigenvalues of structured matrices is the theory of GLT sequences. By the GLT theory one can derive a functi…
Eigenvalues and Eigenvectors of Tau Matrices with Applications to Markov Processes and Economics
Sven-Erik Ekström, Carlo Garoni, Adam Jozefiak +1
In the context of matrix displacement decomposition, Bozzo and Di Fiore introduced the so-called algebra, a generalization of the more known algebra origina…
Preconditioners for Fractional Diffusion Equations Based on the Spectral Symbol
Nikos Barakitis, Sven-Erik Ekström, Paris Vassalos
It is well known that the discretization of fractional diffusion equations (FDEs) with fractional derivatives , using the so-called weighted and shifted Grünwald formula…
A Matrix-Less Method to Approximate the Spectrum and the Spectral Function of Toeplitz Matrices with Real Eigenvalues
Sven-Erik Ekström
It is known that the generating function of a sequence of Toeplitz matrices may not describe the asymptotic distribution of the eigenvalues of if is…
Approximating the Perfect Sampling Grids for Computing the Eigenvalues of Toeplitz-like Matrices Using the Spectral Symbol
Sven-Erik Ekström
In a series of papers the author and others have studied an asymptotic expansion of the errors of the eigenvalue approximation, using the spectral symbol, in connection with Toepli…
A Multigrid method for nonlocal problems: non-diagonally dominant Toeplitz-plus-tridiagonal systems
Minghua Chen, Sven-Erik Ekström, Stefano Serra-Capizzano
The nonlocal problems have been used to model very different applied scientific phenomena, which involve the fractional Laplacian when one looks at the Lévy processes and stochasti…