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math.NA2026
Weyl distributions, spectral properties, and circulant approximation results for quaternion block multilevel Toeplitz matrix sequences
Ayoub Lailoune, Valerio Loi, Stefano Serra-Capizzano
The present work contains a comprehensive treatment of Weyl eigenvalue and singular value distributions, \val{Schatten -norm estimates, spectral localization and positive-defini…
math.NA2024
Symbol-based multilevel block preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications
Sean Y. Hon, Congcong Li, Rosita L. Sormani +2
In recent years, there has been a renewed interest in preconditioning for multilevel Toeplitz systems, a research field that has been extensively explored over the past several dec…
math.NA2024
A note on eigenvalues and singular values of variable Toeplitz matrices and matrix-sequences, with application to variable two-step BDF approximations to parabolic equations
Nikos Barakitis, Valerio Loi, Stefano Serra-Capizzano
Here, we consider a more general class of matrix-sequences and we prove that they belong to the maximal -algebra of generalized locally Toeplitz (GLT) matrix-sequences. Then, we…