The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications

DOI10.1007/978-3-319-49182-0_16zbMath1472.47022OpenAlexW1933292915MaRDI QIDQ5269038

Stefano Serra Capizzano, Carlo Garoni

Publication date: 14 June 2017

Published in: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49182-0_16

zbMATH Keywords

finite elements Schur complement finite differences generalized locally Toeplitz sequences approximating class of sequences discretization of partial differential equations singular value and eigenvalue distribution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Finite difference methods for boundary value problems involving PDEs (65N06)

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