A short survey on preconditioners and Korovkin-type theorems
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Publication:2047302
DOI10.1007/s41478-019-00207-yOpenAlexW2981838083WikidataQ126988053 ScholiaQ126988053MaRDI QIDQ2047302
Rahul Rajan, M. N. N. Namboodiri, V. B. Kiran Kumar
Publication date: 19 August 2021
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-019-00207-y
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear operator approximation theory (47A58) Applications of operator theory in numerical analysis (47N40)
Related Items
Operator version of Korovkin theorem; degree of convergence and application to preconditioners, Banach Spaces of GLT Sequences and Function Spaces, Korovkin-type theorems on \(B(\mathcal{H})\) and their applications to function spaces
Cites Work
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- Preconditioners in spectral approximation
- A preconditioning approach to the pagerank computation problem
- A comparison theorem for eigenvalues of normal matrices
- Spectral and computational properties of band symmetric Toeplitz matrices
- Weak Korovkin approximation by completely positive linear maps on \(\beta\) (H)
- A generalized noncommutative Korovkin theorem and \({}^*\)-closedness of certain sets of convergence
- On the rate of convergence of the preconditioned conjugate gradient method
- On bilinear forms in Gaussian random variables and Toeplitz matrices
- Korovkin-type approximation on C*-algebras
- A noncommutative Korovkin theorem
- A Korovkin theorem for Schwarz maps on \(C^*\)-algebras
- Asymptotic behavior of block Toeplitz matrices and determinants. II
- Comparison of splittings used with the conjugate gradient algorithm
- A unifying approach to abstract matrix algebra preconditioning
- A Korovkin-type theory for finite Toeplitz operators via matrix algebras
- Korovkin-type theorems for Schwarz maps and operator monotone functions in \(C^*\)-algebras
- Constrained minimax approximation and optimal preconditioners for Toeplitz matrices
- Korovkin-type approximation theory and its applications
- Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
- A Korovkin-type theory for non-self-adjoint Toeplitz operators
- The noncommutative Choquet boundary. II: Hyperrigidity
- Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
- A unifying approach to some old and new theorems on distribution and clustering
- Optimal rank matrix algebras preconditioners
- C. G. preconditioning for Toeplitz matrices
- Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps
- Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Toeplitz Operators on the Segal-Bargmann Space
- The noncommutative Choquet boundary
- Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems
- Preconditioning strategies for non‐Hermitian Toeplitz linear systems
- A Proposal for Toeplitz Matrix Calculations
- VMO, ESV, and Toeplitz Operators on the Bergman Space
- An Optimal Circulant Preconditioner for Toeplitz Systems
- Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
- Circulant Preconditioners for Toeplitz Matrices with Positive continuous Generating Functions
- How Fast are Nonsymmetric Matrix Iterations?
- Toeplitz Preconditioners Constructed from Linear Approximation Processes
- A Korovkin-Based Approximation of MultilevelToeplitz Matrices (With Rectangular Unstructured Blocks) via Multilevel Trigonometric Matrix Spaces
- Circulant Preconditioned Toeplitz Least Squares Iterations
- Fast Band-Toeplitz Preconditioners for Hermitian Toeplitz Systems
- Iterative Solution Methods
- Euler-Richardson method preconditioned by weakly stochastic matrix algebras: a potential contribution to Pagerank computation
- Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
- Conjugate Gradient Methods for Toeplitz Systems
- Optimal multilevel matrix algebra operators
- Analysis of Preconditioning Techniques for Ill-Conditioned Toeplitz Matrices
- Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
- Toeplitz-Circulant Preconditioners for Toeplitz Systems and their Applications to Queueing Networks with Batch Arrivals
- Generalized Locally Toeplitz Sequences: Theory and Applications
- On a Matrix Algebra Related to the Discrete Hartley Transform
- How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case
- Korovkin-type Theorems and Approximation by Positive Linear Operators
- Approximation of approximation numbers by truncation
