On the approximation numbers of large Toeplitz matrices

zbMath0873.47014MaRDI QIDQ1355999

Albrecht Böttcher

Publication date: 3 June 1997

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222694

zbMATH Keywords

singular valuesFredholm propertiesapproximation number

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Applications of operator theory in the physical sciences (47N50) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Eigenvalue problems for linear operators (47A75) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Numerical computation of matrix norms, conditioning, scaling (65F35) (Semi-) Fredholm operators; index theories (47A53) Linear operator approximation theory (47A58)

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