Block structures, g.a.c.s. approximation, and distributions
Andrea Adriani, Alec Jacopo Almo Schiavoni-Piazza, Stefano Serra‐Capizzano · Boletín de la Sociedad Matemática Mexicana · 2025
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.