Spectral properties of flipped Toeplitz matrices and related preconditioning

DOI10.1007/s10543-018-0740-yzbMath1417.15045OpenAlexW2903335383WikidataQ128719379 ScholiaQ128719379MaRDI QIDQ1999714

Yanyan Li

Publication date: 27 June 2019

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-018-0740-y

zbMATH Keywords

Toeplitz matricesHankel matricesspectral symbol

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08)

Related Items (11)

Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems ⋮ Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences ⋮ A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ A block Toeplitz preconditioner for all-at-once systems from linear wave equations ⋮ Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods ⋮ A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs ⋮ A note on the spectral distribution of symmetrized Toeplitz sequences ⋮ The Asymptotic Spectrum of Flipped Multilevel Toeplitz Matrices and of Certain Preconditionings ⋮ Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices ⋮ The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures

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