Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences

DOI10.1016/j.laa.2004.07.014zbMath1066.15002OpenAlexW2136826453WikidataQ112882143 ScholiaQ112882143MaRDI QIDQ1765908

Paris Vassalos, Dimitrios Noutsos, Stefano Serra Capizzano

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.07.014

zbMATH Keywords

condition number(Asymptotic) conditioningessential zerostwo-level Toeplitz matrixWeakly sectorial symbol

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Conditioning of matrices (15A12)

Related Items (2)

Band-Times-Circulant Preconditioners for Non-Symmetric Real Toeplitz Systems with Unknown Generating Function ⋮ Band plus algebra preconditioners for two-level Toeplitz systems

Cites Work

• On the condition numbers of large semi-definite Toeplitz matrices
• On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
• Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
• Universal bounds on the convergence rate of extreme Toeplitz eigenvalues.
• How Bad Can Positive Definite Toeplitz Matrices Be?
• Conjugate Gradient Methods for Toeplitz Systems
• Unnamed Item

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