The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices

DOI10.1007/s00020-003-1297-xzbMath1070.47015OpenAlexW2003364806MaRDI QIDQ1884739

Albrecht Böttcher

Publication date: 5 November 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-003-1297-x

zbMATH Keywords

Green's functionToeplitz matrixinverse matrixsingular symbol

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in probability theory and statistics (47N30)

Related Items (10)

Entries of the inverses of large positive definite Toeplitz matrices ⋮ Trace theorems of Szegő type in the singular case. ⋮ The GLT class as a generalized Fourier analysis and applications ⋮ Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. ⋮ On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients ⋮ Minimal eigenvalues of Toeplitz matrices and of products of Toeplitz matrices ⋮ A strong Spitzer-Stone theorem for a Toeplitz matrix with singular symbol defined by a class of analytic functions ⋮ Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels ⋮ Factorization of the Green's operator in the Dirichlet problem for \((-1)^m(d/dt)^{2m}\) ⋮ Asymptotic inversion of Toeplitz matrices with one singularity in the symbol

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