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<p>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.</p>

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Block structures, g.a.c.s. approximation, and distributions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月24日

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  • Andrea Adriani,
  • Alec Jacopo Almo Schiavoni-Piazza,
  • Stefano Serra-Capizzano

摘要

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.