Block structures, g.a.c.s. approximation, and distributions
Abstract In the present note, we consider the problem of identifying the singular value and eigenvalue distribution in the Weyl sense of block matrix-sequences with rectangular Toeplitz blocks. Using recent results regarding the notion of generalized approximating class of sequences, we arrive to prove general results, which suggest practical preconditioning strategies for dealing with the fast solution of related large linear systems.
Authors
- Stefano Serra‐Capizzano (ORCID: https://orcid.org/0000-0001-9477-109X)
- Alec Jacopo Almo Schiavoni-Piazza
- Andrea Adriani (ORCID: https://orcid.org/0000-0003-3390-7891)
Institutions
- University of Insubria (IT)
- University of Rome Tor Vergata (IT)
- Uppsala University (SE)
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Informa (Sweden) (SE)
Publication Details
- Journal
- Boletín de la Sociedad Matemática Mexicana
- Published
- 2025-02-24
- DOI
- https://doi.org/10.1007/s40590-025-00719-7
- Citations
- 3
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 4.51
Funders
- Athens University of Economics and Business
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Uppsala Universitet
- Università degli Studi di Roma Tor Vergata
- Gruppo Nazionale per il Calcolo Scientifico