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Albrecht Böttcher
Researcher at Chemnitz University of Technology
Publications - 210
Citations - 5758
Albrecht Böttcher is an academic researcher from Chemnitz University of Technology. The author has contributed to research in topics: Toeplitz matrix & Eigenvalues and eigenvectors. The author has an hindex of 29, co-authored 205 publications receiving 5296 citations. Previous affiliations of Albrecht Böttcher include University of Leoben & CINVESTAV.
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Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols
TL;DR: In this article, higher-order asymptotic formulas for the eigenvalues of large Hermitian Toeplitz matrices with moderately smooth symbols were established not only for the extreme eigenvalue, but also for the inner eigen value.
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The finite section method for TOEPLITZ operators on the quarter‐plane with piecewise continuous symbols
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The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders
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Approximation of approximation numbers by truncation
TL;DR: In this paper, it was shown that for each k ≥ 1, the spectral approximation of selfadjoint linear operators converges to the corresponding approximation numbers asn→∞.
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Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices
TL;DR: Under natural hypotheses, the use of the quantile function eases the proofs and statements of results significantly and provides a promising language for forthcoming research into higher order asymptotics for individual singular values.