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New PCG based algorithms for the solution of Hermitian Toeplitz systems
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-0265-3openalex-snapshot
Polynomial and Matrix Computations
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On the rate of convergence of the preconditioned conjugate gradient method
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On Clenshaws's method and a generalisation to faber series
inferredcites →https://doi.org/10.1007/bf01740550openalex-snapshot
On the extreme spectral properties of Toeplitz matrices generated byL 1 functions with several minima/maxima
inferredcites →https://doi.org/10.1007/bf01934269openalex-snapshot
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
inferredcites →https://doi.org/10.1007/bf02575746openalex-snapshot
Matrix structures in parallel matrix computations
inferredcites →https://doi.org/10.1007/bf02575816openalex-snapshot
Multigrid methods for toeplitz matrices
inferredcites →https://doi.org/10.1007/bf02576001openalex-snapshot
A practical algorithm to design fast and optimal band-Toeplitz preconditioners for hermitian toeplitz systems
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/s0024-3795(97)00231-0openalex-snapshot
On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
inferredcites →https://doi.org/10.1016/s0024-3795(97)80001-8openalex-snapshot
Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
inferredcites →https://doi.org/10.1063/1.3062237openalex-snapshot
Toeplitz Forms and Their Applications
inferredcites →https://doi.org/10.1090/mmono/041openalex-snapshot
Convolution equations and projection methods for their solution
inferredcites →https://doi.org/10.1090/s0002-9904-1975-13733-5openalex-snapshot
Book Review: Convolution equations and projection methods for their solution
inferredcites →https://doi.org/10.1090/s0002-9947-1958-0098321-8openalex-snapshot
On The Eigenvalues of Certain Hermitian Operators
inferredcites →https://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
inferredcites →https://doi.org/10.1090/s0025-5718-99-01045-5openalex-snapshot
Superlinear PCG methods for symmetric Toeplitz systems
inferredcites →https://doi.org/10.1093/imanum/11.3.333openalex-snapshot
Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
inferredcites →https://doi.org/10.1109/proc.1979.11533openalex-snapshot
Applications of digital signal processing
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/10.1137/0112045openalex-snapshot
An Algorithm for the Inversion of Finite Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0609005openalex-snapshot
Superfast Solution of Real Positive Definite Toeplitz Systems
inferredcites →https://doi.org/10.1137/0614035openalex-snapshot
On a Matrix Algebra Related to the Discrete Hartley Transform
inferredcites →https://doi.org/10.1137/0906025openalex-snapshot
Stability of Methods for Solving Toeplitz Systems of Equations
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/s089547989427141xopenalex-snapshot
Preconditioning Strategies for Hermitian Toeplitz Systems with Nondefinite Generating Functions
inferredcites →https://doi.org/10.1137/s0895479896310160openalex-snapshot
Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
inferredcites →https://doi.org/10.1137/s1064827594271512openalex-snapshot
Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions
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/10.1512/iumj.1953.2.52034openalex-snapshot
On the Eigen-Values of Certain Hermitian Forms
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/10.1007/3-540-62598-4_122openalex-snapshot
The effectiveness of band-Toeplitz preconditioners: A survey
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/s002110050411openalex-snapshot
A unifying approach to abstract matrix algebra preconditioning
inferred← citeshttps://doi.org/10.1007/s002110100331openalex-snapshot
Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs Matrix-sequences
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/s10915-025-02795-3openalex-snapshot
A Fast Iterative Solver for Multidimensional Spatial Fractional Cahn-Hilliard Equations
inferred← citeshttps://doi.org/10.1007/s10915-025-03150-2openalex-snapshot
Spectral Analysis of $$\tau $$-Preconditioners for Two-Level Toeplitz Systems with Applications in Nonlocal Diffusion Models
inferred← citeshttps://doi.org/10.1007/s11075-017-0404-zopenalex-snapshot
Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
inferred← citeshttps://doi.org/10.1016/j.cam.2010.02.029openalex-snapshot
A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.05.016openalex-snapshot
A rational preconditioner for multi-dimensional Riesz fractional diffusion equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2015.11.061openalex-snapshot
Spectral analysis and structure preserving preconditioners for 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/j.laa.2024.04.019openalex-snapshot
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols
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/10.1023/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/10.1070/sm8823openalex-snapshot
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
inferred← citeshttps://doi.org/10.1137/040612117openalex-snapshot
On the Complexity of the Preconditioned Conjugate Gradient Algorithm for Solving Toeplitz Systems with a Fisher--Hartwig Singularity
inferred← citeshttps://doi.org/10.1137/050627046openalex-snapshot
Two-level Toeplitz preconditioning: approximation results for matrices and functions
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/s0895479800376314openalex-snapshot
New Band Toeplitz Preconditioners for Ill-Conditioned Symmetric Positive Definite Toeplitz Systems
inferred← citeshttps://doi.org/10.1137/s0895479896310160openalex-snapshot
Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
inferred← citeshttps://doi.org/10.1137/s0895479897316904openalex-snapshot
Toeplitz Preconditioners Constructed from Linear Approximation Processes
inferred← citeshttps://doi.org/10.1137/s0895479899362521openalex-snapshot
Preconditioners for Nondefinite Hermitian Toeplitz Systems
inferred← citeshttps://doi.org/10.1553/etna_vol54s499openalex-snapshot
Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations
inferred← citeshttps://doi.org/10.4208/nmtma.oa-2022-0032openalex-snapshot
Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations
inferred← citeshttps://doi.org/10.4213/sm8823openalex-snapshot
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