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Iterative methods for ill-conditioned Toeplitz matrices

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/sapm1986742171openalex-snapshot
A Proposal for Toeplitz Matrix Calculations
inferredcites →https://doi.org/10.1007/bf01934269openalex-snapshot
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
inferredcites →https://doi.org/10.1007/bf01935019openalex-snapshot
Fast transforms for tridiagonal linear equations
inferredcites →https://doi.org/10.1007/bf02575816openalex-snapshot
Multigrid methods for toeplitz matrices
inferredcites →https://doi.org/10.1016/0024-3795(93)00347-3openalex-snapshot
Matrix decompositions using displacement rank and classes of commutative matrix algebras
inferredcites →https://doi.org/10.1016/0024-3795(93)90226-eopenalex-snapshot
Toeplitz preconditioners for Hermitian Toeplitz systems
inferredcites →https://doi.org/10.1016/0024-3795(94)00049-2openalex-snapshot
Sine transform based preconditioners for symmetric Toeplitz systems
inferredcites →https://doi.org/10.1016/0898-1221(93)90297-9openalex-snapshot
C. G. preconditioning for Toeplitz matrices
inferredcites →https://doi.org/10.1093/imanum/11.3.333openalex-snapshot
Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
inferredcites →https://doi.org/10.1117/12.211409openalex-snapshot
Conditioning and solution of Hermitian (block) Toeplitz systems by means of preconditioned conjugate gradient methods
inferredcites →https://doi.org/10.1137/0610039openalex-snapshot
Circulant Preconditioners for Hermitian Toeplitz Systems
inferredcites →https://doi.org/10.1137/0909051openalex-snapshot
An Optimal Circulant Preconditioner for Toeplitz Systems
inferredcites →https://doi.org/10.1137/0910009openalex-snapshot
Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
inferredcites →https://doi.org/10.1137/0915011openalex-snapshot
Fast Band-Toeplitz Preconditioners for Hermitian Toeplitz Systems
inferredcites →https://doi.org/10.1137/0916041openalex-snapshot
Analysis of Preconditioning Techniques for Ill-Conditioned Toeplitz Matrices
inferredcites →https://doi.org/10.1137/s0895479893245103openalex-snapshot
On the Use of Certain Matrix Algebras Associated with Discrete Trigonometric Transforms in Matrix Displacement Decomposition
inferredcites →https://doi.org/10.1137/s0895479893254269openalex-snapshot
Fast Transform Based Preconditioners for Toeplitz Equations
inferredcites →https://doi.org/10.1137/s1064827595258335openalex-snapshot
Preconditioning of Block Toeplitz Matrices by Sine Transforms
inferredcites →https://doi.org/10.1145/97444.97688openalex-snapshot
A new preconditioner for the parallel solution of positive definite Toeplitz systems
inferredcites →https://doi.org/10.1201/9780203507643.ch7openalex-snapshot
Interpolation and Approximation
inferredcites →https://doi.org/10.2307/2004299openalex-snapshot
Interpolation and Approximation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s002110050411openalex-snapshot
A unifying approach to abstract matrix algebra preconditioning
inferred← citeshttps://doi.org/10.1007/s10915-021-01610-zopenalex-snapshot
Quasi-Toeplitz Trigonometric Transform Splitting Methods for Spatial Fractional Diffusion Equations
inferred← citeshttps://doi.org/10.1007/s40314-022-01894-3openalex-snapshot
AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure
inferred← citeshttps://doi.org/10.1016/j.camwa.2011.11.045openalex-snapshot
A new preconditioner for the interface system arising in a fast Helmholtz solver
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.01.008openalex-snapshot
Trigonometric transform splitting methods for real symmetric Toeplitz systems
inferred← citeshttps://doi.org/10.1016/j.camwa.2019.10.003openalex-snapshot
A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations
inferred← citeshttps://doi.org/10.1016/j.laa.2015.08.021openalex-snapshot
Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00137-3openalex-snapshot
Matrix algebras in optimal preconditioning
inferred← citeshttps://doi.org/10.1023/a:1022322820082openalex-snapshot
Preconditioners for Ill-Conditioned Toeplitz Matrices
inferred← citeshttps://doi.org/10.1109/lsp.2009.2024735openalex-snapshot
A New Preconditioner for Toeplitz Matrices
inferred← citeshttps://doi.org/10.1137/s1064827599351428openalex-snapshot
Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels
inferred← citeshttps://doi.org/10.1201/9781584888239-c18openalex-snapshot
Applications of FFT and Structured Matrices
inferred← citeshttps://doi.org/10.4208/eajam.2021-275.210722openalex-snapshot
A Mixed-Type Circulant Preconditioner for a Nonlocal Elastic Model
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