13 citations · 34 across the 17 of their papers we have counts for
6 papers · 2 filters
A smoothing analysis for multigrid methods applied to tempered fractional problems
D. Ahmad, M. Donatelli, M. Mazza +2
We consider the numerical solution of time-dependent space tempered fractional diffusion equations. The use of Crank-Nicolson in time and of second-order accurate tempered weighted…
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…
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems
Minghua Chen, Rongjun Cao, Stefano Serra-Capizzano
Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large sparse system of equations. However, how to build/check restriction and prolongation oper…
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…
Rectangular GLT Sequences
Giovanni Barbarino, Carlo Garoni, Mariarosa Mazza +1
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of square matrices arising from the disc…
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…