Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra
From MaRDI portal
Publication:4915851
DOI10.1007/978-3-0348-0537-7_19zbMath1280.47022OpenAlexW2198982154MaRDI QIDQ4915851
Markus Seidel, Bernd Silbermann
Publication date: 12 April 2013
Published in: Operator Theory, Pseudo-Differential Equations, and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0537-7_19
Linear operator approximation theory (47A58) Numerical solutions to equations with linear operators (65J10)
Related Items (10)
Infinite-dimensional features of matrices and pseudospectra ⋮ On condition numbers of spectral operators in a Hilbert space ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS ⋮ An affirmative answer to a core issue on limit operators ⋮ Computing spectral measures and spectral types ⋮ Essential pseudospectra and essential norms of band-dominated operators ⋮ Perturbation bounds for angular sectors of spectra of unbounded operators ⋮ On the infinite-dimensional QR algorithm
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \((N,\epsilon)\)-pseudospectra of operators on Banach spaces
- The maximum principle for holomorphic operator functions
- Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
- Banach algebras of structured matrix sequences
- A general look at local principles with special emphasis on the norm computation aspect
- Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
- Norm-constant analytic functions and equivalent norms
- Introduction to large truncated Toeplitz matrices
- Pseudospectra and singular values of large convolution operators
- Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices
- Limit operators and their applications in operator theory
- On the approximation of spectra of linear operators on Hilbert spaces
- Banach algebras of operator sequences
- On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators
- NON-STRONGLY CONVERGING APPROXIMATION METHODS
- On the level sets of the resolvent norm of a linear operator
- Spectral approximation of Wiener-Hopf operators with almost periodic generating function
This page was built for publication: Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra
