Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory
<|reference_start|>Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory: In recent years more and more involved block structures appeared in the literature in the context of numerical approximations of complex infinite dimensional operators modeling real-world applications. In various settings, thanks the theory of generalized locally Toeplitz matrix-sequences, the asymptotic distributional analysis is well understood, but a general theory is missing when general block structures are involved. The central part of the current work deals with such a delicate generalization when blocks are of (block) unilevel Toeplitz type, starting from a problem of recovery with missing data. Visualizations, numerical tests, and few open problems are presented and critically discussed.<|reference_end|>
@article{furci2024block,
    title={Block structured matrix-sequences and their spectral and singular value
  canonical distributions: a general theory},
    author={Isabella Furci, Andrea Adriani and Stefano Serra-Capizzano},
    journal={arXiv preprint arXiv:2409.06465},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.06465},
    primaryClass={math.NA cs.NA}
}