Formulas for the inverses of Toeplitz matrices with polynomially singular symbols

DOI10.1007/s00020-003-1298-9zbMath1069.47027OpenAlexW2059713256MaRDI QIDQ1884741

Philippe Rambour, Abdellatif Seghier

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/s00020-003-1298-9

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 (8)

Entries of the inverses of large positive definite Toeplitz matrices ⋮ An extension of a result of Szegő on eigenvalues of Toeplitz matrices ⋮ Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. ⋮ 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 ⋮ Toeplitz minors and specializations of skew Schur polynomials ⋮ Asymptotic inversion of Toeplitz matrices with one singularity in the symbol

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