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Fast transforms for tridiagonal linear equations

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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/bf02139468openalex-snapshot
A note on skewcirculant preconditioners for elliptic problems
inferredcites →https://doi.org/10.1016/0165-1684(83)90098-1openalex-snapshot
Fast transforms: Algorithms, analyses, applications
inferredcites →https://doi.org/10.1017/cbo9780511840371openalex-snapshot
Topics in Matrix Analysis
inferredcites →https://doi.org/10.1137/0613030openalex-snapshot
Optimal and Superoptimal Circulant Preconditioners
inferredcites →https://doi.org/10.1137/0613048openalex-snapshot
Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
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/10.1137/0914034openalex-snapshot
Some Aspects of Circulant Preconditioners
inferredcites →https://doi.org/10.1137/1.9781611970869openalex-snapshot
Numerical Solution of Elliptic Problems
inferredcites →https://doi.org/10.1137/1.9781611970999openalex-snapshot
Computational Frameworks for the Fast Fourier Transform

What points at this work

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

inferred← citeshttps://doi.org/10.1002/gamm.202000015openalex-snapshot
Preconditioners for Krylov subspace methods: An overview
inferred← citeshttps://doi.org/10.1007/bf02510259openalex-snapshot
A framework for polynomial preconditioners based on fast transforms I: Theory
inferred← citeshttps://doi.org/10.1007/bf02575710openalex-snapshot
Spectral properties of Toeplitz-plus-Hankel matrices
inferred← citeshttps://doi.org/10.1007/bf02575999openalex-snapshot
Iterative methods for ill-conditioned Toeplitz matrices
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/10.1016/0024-3795(94)00049-2openalex-snapshot
Sine transform based preconditioners for symmetric 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.jcp.2008.04.030openalex-snapshot
Fast transform based preconditioners for 2D finite-difference frequency-domain – Waveguides and periodic structures
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00401-3openalex-snapshot
Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10042-3openalex-snapshot
Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems
inferred← citeshttps://doi.org/10.1023/a:1026087112862openalex-snapshot
Parallel Solution of the Helmholtz Equation in a Multilayer Domain
inferred← citeshttps://doi.org/10.1080/03081087.2016.1164662openalex-snapshot
Convergence rate of GMRES on tridiagonal block Toeplitz linear systems
inferred← citeshttps://doi.org/10.1107/s1600577514016919openalex-snapshot
Generalized Titarenko's algorithm for ring artefacts reduction
inferred← citeshttps://doi.org/10.1137/s0036144594276474openalex-snapshot
Conjugate Gradient Methods for Toeplitz Systems
inferred← citeshttps://doi.org/10.1137/s1064827595258335openalex-snapshot
Preconditioning of Block Toeplitz Matrices by Sine Transforms
inferred← citeshttps://doi.org/10.1137/s1064827597330169openalex-snapshot
Preconditioned Lanczos Methods for the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
inferred← citeshttps://doi.org/10.70675/fc6999c9zd5b3z4897z8865ze2e76b3d32d8openalex-snapshot
Modeling the atmospheric propagation of electromagnetic waves in 2D and 3D using fourier and wavelet transforms
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