More Than 40 Years of Algebraic Techniques in Numerical Analysis
From MaRDI portal
Publication:4973495
DOI10.1007/978-3-319-72449-2_15OpenAlexW2888534391MaRDI QIDQ4973495
Publication date: 27 November 2019
Published in: Operator Theory, Operator Algebras, and Matrix Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-72449-2_15
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical solutions to equations with linear operators (65J10) Topological algebras, normed rings and algebras, Banach algebras (46H99) Linear spaces and algebras of operators (47L99)
Cites Work
- Lokale Theorie des Reduktionsverfahrens fĂŒr Toeplitzoperatoren
- Local Toeplitz Operators
- Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
- Alegebraic techniques in stability analysis for spline approximation methods
- Spectral approximation of Wiener-Hopf operators with almost periodic generating function
- Banach Algebras Generated by Two Idempotents and One Flip
- Convolution type operators on cones and their finite sections
- Approximation Methods for Singular Integral Equations with Conjugation on Curves with Corners
- Corrigendum
- Extension-Restriction Theorems for Algebras of Approximation Sequences
- On a Question by Markus Seidel
- A Tour to Compact Type Operators and Sequences Related to the Finite Sections Projection
- The Universal Algebra Generated by a Power Partial Isometry
- Approximation sequences to operators on Banach spaces: a rich approach
- Finite sections of band-dominated operators
- An Approximation Theory for Operators Generated by Shifts
- The đ¶*-algebra generated by an isometry
- Two Subspaces
- General Wiener-Hopf Operators
- Ideals of Vector-Valued Functions
- Spectral Properties of Banded Toeplitz Matrices
- On Non-Hermitian Toeplitz Matrices.
- On the stabiity of collocation methods for Cauchy singular integral equations in weighted Lp spaces
- Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
- Collocation-quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\)
- Two points, one limit: homogenization techniques for two-point local algebras
- Collocation for singular integral equations with fixed singularities of particular Mellin type
- Toeplitz determinants with perturbations in the corners
- Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations
- Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
- Erratum to: Finite section method for a Banach algebra of convolution type operators on \({L^{p}(\mathbb{R})}\) with symbols generated by \(PC\) and \(SO\)
- On the singular values of Toeplitz matrices
- Finite section method for a Banach algebra of convolution type operators on \({L^p(\mathbb R)}\) with symbols generated by \(PC\) and \(SO\)
- Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
- A strong Szegö-Widom Limit Theorem for operators with almost periodic diagonal
- Local theory of the collocation method for the approximate solution of singular integral equations. I
- A gentle guide to the basics of two projections theory
- Sequences of variable-coefficient Toeplitz matrices and their singular values
- Spectral approximation and index for convolution type operators on cones on \(L^{p}(\mathbb {R}^2)\)
- Ăber das Reduktionsverfahren fĂŒr diskrete Wiener-Hopf-Gleichungen mit unstetigem Symbol
- Lokale Theorie des Reduktionsverfahrens fĂŒr singulĂ€re Integralgleichungen
- A spline collocation method for singular integral equations with piecewise continuous coefficients
- Reduction method for Wiener-Hopf integral operators with piecewise continuous symbols in \(L^ p\) spaces
- Toeplitz matrices and determinants with Fisher-Hartwig symbols
- On spline Galerkin methods for singular integral equations with piecewise continuous coefficients
- Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
- A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients
- A general look at local principles with special emphasis on the norm computation aspect
- Algebras generated by idempotents and the symbol calculus for singular integral operators
- StabilitĂ€tskriterien fĂŒr NĂ€herungsverfahren bei singulĂ€ren Integralgleichungen in \(L^ p\)
- A norm inequality for a 'finite-section' Wiener-Hopf equation
- Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
- Numerical analysis for integral and related operator equations.
- Spline approximation methods for multidimensional periodic pseudodifferential equations
- Asymptotic inversion of convolution operators
- On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
- Asymptotic behavior of block Toeplitz matrices and determinants. II
- Index calculus for approximation methods and singular value decomposition
- Introduction to large truncated Toeplitz matrices
- Invertibility symbol for a Banach algebra generated by two idempotents and a shift
- Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence
- A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols
- Stability of spline approximation methods for multidimensional pseudodifferential operators
- Spline approximation methods cutting off singularities
- Spectral theory of approximation methods for convolution equations
- Pseudospectra and singular values of large convolution operators
- On the approximation numbers of large Toeplitz matrices
- Toeplitz determinants with one Fisher-Hartwig singularity
- Finite section method in some algebras of multiplication and convolution operators and a flip
- Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices
- Fredholm theory and finite section method for band-dominated operators
- A new algebraic approach to the SzegĆ-Widom limit theorem
- Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces
- Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
- The Onsager formula, the Fisher-Hartwig conjecture, and their influence on research into Toeplitz operators.
- On polynomial collocation for Cauchy singular integral equations with fixed singularities
- On asymptotics of Toeplitz determinants with symbols of nonstandard smoothness
- Extension theorems for invertibility symbols in Banach algebras
- Numerical analysis for one-dimensional Cauchy singular integral equations
- Asymptotic behavior of block Toeplitz matrices and determinants
- On stability of approximation methods for the Muskhelishvili equation
- A polynomial collocation method for Cauchy singular integral equations over the interval
- Limit operators and their applications in operator theory
- Finite sections for singular integral operators by weighted Chebyshev polynomials
- On \(C^*\)-algebras generated by idempotents
- On an open question about the stability of the finite section method for a class of convolution type operators
- On the limiting set of singular values of Toeplitz matrices
- Extension theorems for Fredholm and invertibility symbols
- Asymptotic behavior of generalized convolutions: an algebraic approach
- Approximation numbers for the finite sections of Toeplitz operators with piecewise continuous symbols
- Asymptotic behavior of Toeplitz matrices and determinants
- Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
- A Brief History of the Strong Szegö Limit Theorem
- Finite Sections of Random Jacobi Operators
- Banach algebras of operator sequences
- On a Local Principle and Algebras Generated by Toeplitz Matrices
- Galerkin Method with Graded Meshes for Wiener-Hopf Operators with PC Symbols in L p Spaces
- On Completely Continuous Hankel Matrices
- On The Eigenvalues of Certain Hermitian Operators
- The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
- A Finite Element Collocation Method for Singular Integral Equations
- A Finite Element Collocation Method for Bisingular Integral Equations
- The finite section method for TOEPLITZ operators on the quarter-plane with piecewise continuous symbols
- Szegö limit theorems for operators with almost periodic diagonals
- NON-STRONGLY CONVERGING APPROXIMATION METHODS
- On Spline Approximation for a Class of NonâCompact Integral Equations
- A Sequence Algebra of Finite Sections, Convolution, and Multiplication Operators onLP(â)
- The Finite Section Method for Two-dimensional Wiener-Hopf Integral Operators in Lp with Piecewise Continuous Symbols
- Toeplitz-Like Operators, Quasicommutator Ideals, Numerical Analysis, I
- Ein Lokalisierungsprinzip in der Theorie der Spline-Approximationen und einige Anwendungen
- A Banach Algebra Approach to the Stability of Projection Methods for Singular Integral Equations
This page was built for publication: More Than 40 Years of Algebraic Techniques in Numerical Analysis