How Bad Can Positive Definite Toeplitz Matrices Be?

DOI10.1080/01630560008816953zbMath0955.15003OpenAlexW1992735229MaRDI QIDQ4484812

Stefano Serra Capizzano

Publication date: 27 February 2001

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816953

zbMATH Keywords

spectral condition numberpositive definite Toeplitz matrices

Mathematics Subject Classification ID

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

Related Items (5)

Universal bounds on the convergence rate of extreme Toeplitz eigenvalues. ⋮ Asymptotic behavior of the prediction error for stationary sequences ⋮ Symbol approach in a signal-restoration problem involving block Toeplitz matrices ⋮ Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences ⋮ Komleva-type expansions and asymptotics for linear operators

Cites Work

• Remarks on extreme eigenvalues of Toeplitz matrices
• On the condition numbers of large semi-definite Toeplitz matrices
• On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
• On the extreme spectral properties of Toeplitz matrices generated by \(L^ 1\) functions with several minima/maxima
• On approximation by trigonometric polynomials
• Endliche TOEPLITZmatrizen und zweidimensionale WIENER-HOPF-Operatoren mit homogenem Symbol. I. Eigenschaften endlicher TOEPLITZmatrizen
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