Rectangular GLT sequences
| Autor: | Giovanni Barbarino, Carlo Garoni, Mariarosa Mazza, Stefano Serra-Capizzano |
|---|---|
| Přispěvatelé: | Department of Mathematics and Systems Analysis, University of Rome Tor Vergata, University of Insubria, Aalto-yliopisto, Aalto University |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
discretization of differential equations
Beräkningsmatematik Applied Mathematics rectangular generalized locally Toeplitz matrices multigrid methods Numerical Analysis (math.NA) Settore MAT/08 tensor products Computational Mathematics asymptotic distribution of singular values and eigenvalues B-splines finite elements rectangular Toeplitz matrices 15A18 15B05 47B06 65N30 15A69 65D07 FOS: Mathematics Mathematics - Numerical Analysis Analysis |
| Popis: | Funding Information: ∗Received January 31, 2022. Accepted April 27, 2022. Published online on June 23, 2022. Recommended by L. Reichel. Giovanni Barbarino is supported in part by an Academy of Finland grant (Suomen Akatemian päätös 331240). Carlo Garoni acknowledges the MIUR Excellence Department Project awarded to the Department of Mathematics of the University of Rome Tor Vergata (CUP E83C18000100006), the support obtained by the Beyond Borders Programme of the University of Rome Tor Vergata through the Project ASTRID (CUP E84I19002250005), and the funding received from the Department of Mathematics of the University of Rome Tor Vergata through the Project RICH GLT (CUP E83C22001650005). All authors are members of the Research Group GNCS (Gruppo Nazionale per il Calcolo Scientifico) of INdAM (Istituto Nazionale di Alta Matematica). †Department of Mathematics and Systems Analysis, Aalto University, Espoo, Finland (giovanni.barbarino@aalto.fi). ‡Department of Mathematics, University of Rome Tor Vergata, Rome, Italy (garoni@mat.uniroma2.it). §Department of Science and High Technology, University of Insubria, Como, Italy (mariarosa.mazza@uninsubria.it). Publisher Copyright: © 2021 Kent State University. All rights reserved. The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of square matrices An arising from the discretization of differential problems. Indeed, as the mesh fineness parameter n increases to ∞, the sequence {An}n often turns out to be a GLT sequence. In this paper, motivated by recent applications, we further enhance the GLT apparatus by developing a full theory of rectangular GLT sequences as an extension of the theory of classical square GLT sequences. We also provide two examples of application as an illustration of the potential of the theory presented herein. |
| Databáze: | OpenAIRE |
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