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A framework for polynomial preconditioners based on fast transforms I: Theory

https://doi.org/10.1007/bf02510259
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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/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-gopenalex-snapshot
Toeplitz Preconditioners with Block Structure for First-order PDEs
inferredcites →https://doi.org/10.1002/(sici)1099-1506(199709/10)4:5<351::aid-nla103>3.0.co;2-4openalex-snapshot
Sine transform based preconditioners for elliptic problems
inferredcites →https://doi.org/10.1007/bf01385613openalex-snapshot
Parallel and superfast algorithms for Hankel systems of equations
inferredcites →https://doi.org/10.1007/bf01935019openalex-snapshot
Fast transforms for tridiagonal linear equations
inferredcites →https://doi.org/10.1007/bf01935646openalex-snapshot
Hartley preconditioners for Toeplitz systems generated by positive continuous functions
inferredcites →https://doi.org/10.1007/bf01994848openalex-snapshot
Circulant preconditioners for second order hyperbolic equations
inferredcites →https://doi.org/10.1007/bf02140691openalex-snapshot
A fast modified sine transform for solving block-tridiagonal systems with Toeplitz blocks
inferredcites →https://doi.org/10.1007/bf02576000openalex-snapshot
Displacement structure approach to discrete-trigonometric-transform based preconditioners of G.Strang type and of T.Chan type
inferredcites →https://doi.org/10.1007/s002110050411openalex-snapshot
A unifying approach to abstract matrix algebra preconditioning
inferredcites →https://doi.org/10.1016/0024-3795(87)90107-8openalex-snapshot
A new algorithm for solving Toeplitz systems of equations
inferredcites →https://doi.org/10.1016/0024-3795(93)00092-eopenalex-snapshot
Circulant preconditioners with unbounded inverses
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(96)00103-4openalex-snapshot
Fast parallel solvers for elliptic problems
inferredcites →https://doi.org/10.1063/1.3062237openalex-snapshot
Toeplitz Forms and Their Applications
inferredcites →https://doi.org/10.1137/0609005openalex-snapshot
Superfast Solution of Real Positive Definite Toeplitz Systems
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/10.1137/0613053openalex-snapshot
Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations
inferredcites →https://doi.org/10.1137/0614035openalex-snapshot
On a Matrix Algebra Related to the Discrete Hartley Transform
inferredcites →https://doi.org/10.1137/0909051openalex-snapshot
An Optimal Circulant Preconditioner for Toeplitz Systems
inferredcites →https://doi.org/10.1137/0915027openalex-snapshot
Semicirculant Preconditioners for First-Order Partial Differential Equations
inferredcites →https://doi.org/10.1137/0916041openalex-snapshot
Analysis of Preconditioning Techniques for Ill-Conditioned Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0917005openalex-snapshot
Analysis of Semi-Toeplitz Preconditioners for First-Order PDE s
inferredcites →https://doi.org/10.1137/1.9781611970999openalex-snapshot
Computational Frameworks for the Fast Fourier Transform
inferredcites →https://doi.org/10.1137/s0036144594276474openalex-snapshot
Conjugate Gradient Methods for Toeplitz Systems
inferredcites →https://doi.org/10.1137/s0895479889172643openalex-snapshot
Fast Triangular Factorization and Inversion of Hankel and Related Matrices with Arbitrary Rank Profile
inferredcites →https://doi.org/10.1137/s0895479893254269openalex-snapshot
Fast Transform Based Preconditioners for Toeplitz Equations
inferredcites →https://doi.org/10.1137/s106482759324999xopenalex-snapshot
Semicirculant Solvers and Boundary Corrections for First-Order Partial Differential 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/10.1525/9780520355408openalex-snapshot
Toeplitz Forms and Their Applications

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.239openalex-snapshot
A nearly optimal preconditioner for the Navier–Stokes equations
inferred← citeshttps://doi.org/10.1007/978-0-387-35407-1_10openalex-snapshot
Object-Oriented Modeling of Parallel PDE Solvers
inferred← citeshttps://doi.org/10.1007/978-1-4612-1986-6_9openalex-snapshot
Object-Oriented Construction of Parallel PDE Solvers
inferred← citeshttps://doi.org/10.1007/s00211-004-0574-1openalex-snapshot
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
inferred← citeshttps://doi.org/10.1007/s10543-005-0010-7openalex-snapshot
Preconditioners Based on Fundamental Solutions
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00467-6openalex-snapshot
Sine transform based preconditioners for solving constant-coefficient first-order PDEs
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10042-3openalex-snapshot
Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems
inferred← citeshttps://doi.org/10.1016/s0045-7930(02)00088-9openalex-snapshot
Convergence acceleration for the steady-state Euler equations
inferred← citeshttps://doi.org/10.1023/a:1023256615895openalex-snapshot
Convergence Acceleration for Hyperbolic Systems Using Semicirculant Approximations
inferred← citeshttps://doi.org/10.1137/s1064827597317983openalex-snapshot
Convergence Acceleration for the Linearized Navier--Stokes Equations using Semicirculant Approximations
inferred← citeshttps://doi.org/10.1137/s1064827599353476openalex-snapshot
A Circulant Preconditioner for the Systems of LMF-Based ODE Codes
inferred← citeshttps://doi.org/10.1155/1997/212985openalex-snapshot
Object‐Oriented Software Tools for the Construction of Preconditioners
inferred← citeshttps://doi.org/10.1155/2006/764609openalex-snapshot
Designing for Geometrical Symmetry Exploitation
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