6 citations · 6 across the 5 of their papers we have counts for
5 papers
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Marco Donatelli, Paola Ferrari, Isabella Furci +2
In the past decades, multigrid methods for linear systems having multilevel Toeplitz coefficient matrices with scalar entries have been largely studied. On the other hand, only few…
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol
Marco Donatelli, Carlo Garoni, Mariarosa Mazza +2
This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbo…
A complete understanding of Shift, Slope and Curvature for a class of yields correlation matrices
Ernesto Salinelli, Debora Sesana
In this paper we give complete results on the presence of Shift, Slope and Curvature for a correlation model of interest rates, by improving and extending the content of a previous…
Multigrid methods for Toeplitz linear systems with different size reduction
Marco Donatelli, Stefano Serra-Capizzano, Debora Sesana
Starting from the spectral analysis of g-circulant matrices, we consider a new multigrid method for circulant and Toeplitz matrices with given generating function. We assume that t…
Spectral features and asymptotic properties for alpha-circulants and alpha-Toeplitz sequences: theoretical results and examples
Eric Ngondiep, Stefano Serra-Capizzano, Debora Sesana
For a given nonnegative integer alpha, a matrix A_{n} of size n is called alpha-Toeplitz if its entries obey the rule A_{n}=[a_{r-alpha*s}]_{r,s=0}^{n-1}. Analogously, a matrix A_{…