On the public citation graph
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
0 signed · 117 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
inferredcites →https://doi.org/10.1007/bf01389448openalex-snapshot
On the rate of convergence of the preconditioned conjugate gradient method
inferredcites →https://doi.org/10.1007/bf02575816openalex-snapshot
Multigrid methods for toeplitz matrices
inferredcites →https://doi.org/10.1016/0024-3795(83)80009-3openalex-snapshot
Spectral and computational properties of band symmetric Toeplitz matrices
inferredcites →https://doi.org/10.1016/0898-1221(93)90297-9openalex-snapshot
C. G. preconditioning for Toeplitz matrices
inferredcites →https://doi.org/10.1016/s0747-7171(08)80003-xopenalex-snapshot
Non-commutative Gröbner bases in algebras of solvable type
inferredcites →https://doi.org/10.1016/s0747-7171(08)80013-2openalex-snapshot
Matrix multiplication via arithmetic progressions
inferredcites →https://doi.org/10.1063/1.3062237openalex-snapshot
Toeplitz Forms and Their Applications
inferredcites →https://doi.org/10.1090/s0002-9904-1939-06915-2openalex-snapshot
Concerning sets of polynomials orthogonal simultaneously on several circles
inferredcites →https://doi.org/10.1093/imanum/11.3.333openalex-snapshot
Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
inferredcites →https://doi.org/10.1137/0906025openalex-snapshot
Stability of Methods for Solving Toeplitz Systems of Equations
inferredcites →https://doi.org/10.1137/0913056openalex-snapshot
On the Spectrum of a Family of Preconditioned Block Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0913070openalex-snapshot
A Family of Block Preconditioners for Block Systems
inferredcites →https://doi.org/10.1137/1012045openalex-snapshot
The Direct Solution of the Discrete Poisson Equation on a Rectangle
inferredcites →https://doi.org/10.1525/9780520355408openalex-snapshot
Toeplitz Forms and Their Applications
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nla.2040openalex-snapshot
Preconditioning techniques for an image deblurring problem
inferred← citeshttps://doi.org/10.1002/nla.398openalex-snapshot
A preconditioning proposal for ill‐conditioned Hermitian two‐level Toeplitz systems
inferred← citeshttps://doi.org/10.1002/nla.70005openalex-snapshot
A Novel Fourth‐Order Scheme for Two‐Dimensional Riesz Space Fractional Nonlinear Reaction‐Diffusion Equations and Its Optimal Preconditioned Solver
inferred← citeshttps://doi.org/10.1002/nla.70025openalex-snapshot
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations
inferred← citeshttps://doi.org/10.1007/3-540-62598-4_122openalex-snapshot
The effectiveness of band-Toeplitz preconditioners: A survey
inferred← citeshttps://doi.org/10.1007/978-981-10-0551-0_10openalex-snapshot
Accelerating Image Deblurring Using Circulant Approximations
inferred← citeshttps://doi.org/10.1007/bf02575709openalex-snapshot
Block Toeplitz matrices and preconditioning
inferred← citeshttps://doi.org/10.1007/bf02575833openalex-snapshot
New PCG based algorithms for the solution of Hermitian Toeplitz systems
inferred← citeshttps://doi.org/10.1007/bf02575999openalex-snapshot
Iterative methods for ill-conditioned Toeplitz matrices
inferred← citeshttps://doi.org/10.1007/bf02576001openalex-snapshot
A practical algorithm to design fast and optimal band-Toeplitz preconditioners for hermitian toeplitz systems
inferred← citeshttps://doi.org/10.1007/bf02576002openalex-snapshot
Multigrid methods for indefinite Toeplitz matrices
inferred← citeshttps://doi.org/10.1007/s00211-006-0020-7openalex-snapshot
Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications
inferred← citeshttps://doi.org/10.1007/s00211-006-0049-7openalex-snapshot
A V-cycle Multigrid for multilevel matrix algebras: proof of optimality
inferred← citeshttps://doi.org/10.1007/s00211-013-0600-2openalex-snapshot
On the spectrum of stiffness matrices arising from isogeometric analysis
inferred← citeshttps://doi.org/10.1007/s002110050400openalex-snapshot
The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems
inferred← citeshttps://doi.org/10.1007/s002110050413openalex-snapshot
A Korovkin-type theory for finite Toeplitz operators via matrix algebras
inferred← citeshttps://doi.org/10.1007/s10092-012-0074-0openalex-snapshot
New preconditioners for systems of linear equations with Toeplitz structure
inferred← citeshttps://doi.org/10.1007/s10543-011-0314-8openalex-snapshot
Band plus algebra preconditioners for two-level Toeplitz systems
inferred← citeshttps://doi.org/10.1007/s10543-021-00889-6openalex-snapshot
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
inferred← citeshttps://doi.org/10.1007/s10915-016-0350-2openalex-snapshot
Structure Preserving Preconditioners for Image Deblurring
inferred← citeshttps://doi.org/10.1007/s10915-023-02196-4openalex-snapshot
Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen–Cahn Equations
inferred← citeshttps://doi.org/10.1007/s10915-023-02332-0openalex-snapshot
Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian
inferred← citeshttps://doi.org/10.1007/s11075-011-9516-zopenalex-snapshot
BTTB preconditioners for BTTB systems
inferred← citeshttps://doi.org/10.1007/s11075-022-01367-yopenalex-snapshot
A fast second-order scheme for nonlinear Riesz space-fractional diffusion equations
inferred← citeshttps://doi.org/10.1007/s41478-019-00207-yopenalex-snapshot
A short survey on preconditioners and Korovkin-type theorems
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00156-5openalex-snapshot
Fast iterative solvers for symmetric Toeplitz systems — A survey and an extension
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00205-7openalex-snapshot
Band Toeplitz preconditioners for block Toeplitz systems
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00103-4openalex-snapshot
Fast parallel solvers for elliptic problems
inferred← citeshttps://doi.org/10.1016/j.amc.2014.07.023openalex-snapshot
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol
inferred← citeshttps://doi.org/10.1016/j.amc.2023.128483openalex-snapshot
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting
inferred← citeshttps://doi.org/10.1016/j.aml.2025.109717openalex-snapshot
A sine transform-based preconditioner for the fourth-order scheme arising from multi-dimensional nonlocal Poisson equations
inferred← citeshttps://doi.org/10.1016/j.apnum.2007.01.022openalex-snapshot
Multigrid solution techniques for anisotropic structured linear systems
inferred← citeshttps://doi.org/10.1016/j.cam.2007.03.027openalex-snapshot
Stability of the notion of approximating class of sequences and applications
inferred← citeshttps://doi.org/10.1016/j.cam.2019.04.030openalex-snapshot
Band Toeplitz preconditioners for non-symmetric real Toeplitz systems by preconditioned GMRES method
inferred← citeshttps://doi.org/10.1016/j.camwa.2009.07.026openalex-snapshot
Block preconditioners with circulant blocks for general linear systems
inferred← citeshttps://doi.org/10.1016/j.camwa.2021.05.003openalex-snapshot
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
inferred← citeshttps://doi.org/10.1016/j.laa.2005.04.014openalex-snapshot
A generalization of T. Chan’s preconditioner
inferred← citeshttps://doi.org/10.1016/j.laa.2006.02.032openalex-snapshot
Multigrid methods for anisotropic BTTB systems
inferred← citeshttps://doi.org/10.1016/j.laa.2007.01.021openalex-snapshot
A survey and some extensions of T. Chan’s preconditioner
inferred← citeshttps://doi.org/10.1016/j.laa.2009.10.035openalex-snapshot
BTTB preconditioners for BTTB least squares problems
inferred← citeshttps://doi.org/10.1016/j.matcom.2024.12.002openalex-snapshot
A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with {ω} -circulant preconditioner
inferred← citeshttps://doi.org/10.1016/j.matcom.2025.06.007openalex-snapshot
Pre-tensorial alternative direction implicit method for nonlocal diffusion equations
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.01.007openalex-snapshot
Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00335-4openalex-snapshot
Spectral behavior of matrix sequences and discretized boundary value problems
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00361-5openalex-snapshot
Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00513-4openalex-snapshot
A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00468-8openalex-snapshot
Centrosymmetric isospectral flows and some inverse eigenvalue problems
inferred← citeshttps://doi.org/10.1016/s0024-3795(96)00295-9openalex-snapshot
Band preconditioners for block-Toeplitz-Toeplitz-block systems
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00231-0openalex-snapshot
On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00308-xopenalex-snapshot
Singular values and eigenvalues of non-Hermitian block Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)80047-xopenalex-snapshot
The Extension of the Concept of the Generating Function to a Class of Preconditioned Toeplitz Matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10072-1openalex-snapshot
Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)80002-5openalex-snapshot
An ergodic theorem for classes of preconditioned matrices
inferred← citeshttps://doi.org/10.1016/s0096-3003(96)00332-3openalex-snapshot
A note on construction of circulant preconditioners from kernels
inferred← citeshttps://doi.org/10.1016/s0096-3003(97)10075-3openalex-snapshot
Addendum to “a note on construction of circulant preconditioners from kernels”
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00104-1openalex-snapshot
Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/s0898-1221(00)00072-9openalex-snapshot
Some theorems on linear positive operators and functionals and their applications
inferred← citeshttps://doi.org/10.1023/a:1015580402816openalex-snapshot
Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators
inferred← citeshttps://doi.org/10.1023/a:1016621409981openalex-snapshot
Constructive techniques for approximating collocation linear systems
inferred← citeshttps://doi.org/10.1023/a:1021948319714openalex-snapshot
A Class of Filtering Superoptimal Preconditioners for Highly Ill-Conditioned Linear Systems
inferred← citeshttps://doi.org/10.1023/a:1021978020255openalex-snapshot
Convergence of the Multigrid Method of Ill-conditioned Block Toeplitz Systems
inferred← citeshttps://doi.org/10.1023/a:1022329526925openalex-snapshot
Spectral and Computational Analysis of Block Toeplitz Matrices Having Nonnegative Definite Matrix-Valued Generating Functions
inferred← citeshttps://doi.org/10.1023/b:numa.0000005355.94096.bcopenalex-snapshot
Practical Band Toeplitz Preconditioning and Boundary Layer Effects
inferred← citeshttps://doi.org/10.1080/0308108021000049301openalex-snapshot
A Note on the Superoptimal Matrix Algebra Operators
inferred← citeshttps://doi.org/10.1088/1742-6596/1132/1/012063openalex-snapshot
Block Diagonal Preconditioners for an Image De-blurring Problem with Fractional Total Variation
inferred← citeshttps://doi.org/10.1090/conm/323/05711openalex-snapshot
Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: a negative result
inferred← citeshttps://doi.org/10.1090/s0025-5718-03-01506-0openalex-snapshot
How to prove that a preconditioner cannot be superlinear
inferred← citeshttps://doi.org/10.1090/s0025-5718-97-00833-8openalex-snapshot
Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems
inferred← citeshttps://doi.org/10.1090/s0025-5718-97-00840-5openalex-snapshot
On the asymptotic spectrum of Hermitian block Toeplitz matrices with Toeplitz blocks
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01045-5openalex-snapshot
Superlinear PCG methods for symmetric Toeplitz systems
inferred← citeshttps://doi.org/10.1109/cisp.2014.7003782openalex-snapshot
Image restoration with precondition conjugate gradient method
inferred← citeshttps://doi.org/10.1117/12.211407openalex-snapshot
Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform
inferred← citeshttps://doi.org/10.1117/12.325700openalex-snapshot
Multilevel Toeplitz matrices and approximation by matrix algebras
inferred← citeshttps://doi.org/10.1137/050627046openalex-snapshot
Two-level Toeplitz preconditioning: approximation results for matrices and functions
inferred← citeshttps://doi.org/10.1137/18m1205406openalex-snapshot
Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices
inferred← citeshttps://doi.org/10.1137/24m1702088openalex-snapshot
Symbol-Based Multilevel Block \(\tau\) Preconditioners for Multilevel Block Toeplitz Systems: GLT-Based Analysis and Applications
inferred← citeshttps://doi.org/10.1137/s0036142996311866openalex-snapshot
How to Choose the Best Iterative Strategy for Symmetric Toeplitz Systems
inferred← citeshttps://doi.org/10.1137/s0036142997322497openalex-snapshot
A Korovkin-Based Approximation of MultilevelToeplitz Matrices (With Rectangular Unstructured Blocks) via Multilevel Trigonometric Matrix Spaces
inferred← citeshttps://doi.org/10.1137/s0036144594276474openalex-snapshot
Conjugate Gradient Methods for Toeplitz Systems
inferred← citeshttps://doi.org/10.1137/s0895479802419269openalex-snapshot
The Spectra of Preconditioned Toeplitz Matrix Sequences Can Have Gaps
inferred← citeshttps://doi.org/10.1137/s0895479803428230openalex-snapshot
Block Diagonal and Schur Complement Preconditioners for Block-Toeplitz Systems with Small Size Blocks
inferred← citeshttps://doi.org/10.1137/s089547989427141xopenalex-snapshot
Preconditioning Strategies for Hermitian Toeplitz Systems with Nondefinite Generating Functions
inferred← citeshttps://doi.org/10.1137/s0895479896310160openalex-snapshot
Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
inferred← citeshttps://doi.org/10.1137/s0895479896313036openalex-snapshot
Asymptotic Spectra of Hermitian Block Toeplitz Matrices and Preconditioning Results
inferred← citeshttps://doi.org/10.1137/s0895479897316904openalex-snapshot
Toeplitz Preconditioners Constructed from Linear Approximation Processes
inferred← citeshttps://doi.org/10.1137/s0895479897324585openalex-snapshot
Effective Methods for Solving Banded Toeplitz Systems
inferred← citeshttps://doi.org/10.1137/s0895479897331941openalex-snapshot
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
inferred← citeshttps://doi.org/10.1137/s0895479898338366openalex-snapshot
Locally X Matrices, Spectral Distributions, Preconditioning, and Applications
inferred← citeshttps://doi.org/10.1137/s1064827594271512openalex-snapshot
Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions
inferred← citeshttps://doi.org/10.1137/s1064827595258335openalex-snapshot
Preconditioning of Block Toeplitz Matrices by Sine Transforms
inferred← citeshttps://doi.org/10.1137/s1064827599351428openalex-snapshot
Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels
inferred← citeshttps://doi.org/10.1609/aaai.v35i8.16824openalex-snapshot
On Lipschitz Regularization of Convolutional Layers using Toeplitz Matrix Theory
inferred← citeshttps://doi.org/10.3390/mca28050097openalex-snapshot
Preconditioning Technique for an Image Deblurring Problem with the Total Fractional-Order Variation Model
inferred← citeshttps://doi.org/10.3390/sym10120745openalex-snapshot
An Eigenvalue Inclusion Set for Matrices with a Constant Main Diagonal Entry
inferred← citeshttps://doi.org/10.47839/ijc.14.4.820openalex-snapshot
BIOLOGICALLY INSPIRED FILTERS UTILIZING SPECTRAL PROPERTIES OF TOEPLITZ-BLOCK-TOEPLITZ MATRICES
inferred← citeshttps://doi.org/10.48550/arxiv.1312.1476openalex-snapshot
Scalable iterative methods for sampling from massive Gaussian random vectors
inferred← citeshttps://doi.org/10.48550/arxiv.2109.00959openalex-snapshot
Building Compact and Robust Deep Neural Networks with Toeplitz Matrices
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0510061openalex-snapshot
Wegner Estimate for Indefinite Anderson Potentials: Some Recent Results and Applications
inferred← citeshttps://doi.org/10.70675/581a32b0zfa99z457ezab3fzd0f62f6fc8d8openalex-snapshot
Building Compact and Robust Deep Neural Networks with Toeplitz Matrices
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.