A short note on singular values of optimal and superoptimal preconditioned matrices
International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
Block preconditioners with circulant blocks for general linear systems
Computers & Mathematics with Applications
A reduced Newton method for constrained linear least-squares problems
Journal of Computational and Applied Mathematics
A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images
SIAM Journal on Scientific Computing
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
SIAM Journal on Scientific Computing
A composite preconditioner for the electromagnetic scattering from a large cavity
Journal of Computational Physics
Multigrid method for fractional diffusion equations
Journal of Computational Physics
SIAM Journal on Imaging Sciences
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
smt: a Matlab toolbox for structured matrices
Numerical Algorithms
Boundary value methods for transient solutions of queueing networks with variant vacation policy
Journal of Computational and Applied Mathematics
Difference Filter Preconditioning for Large Covariance Matrices
SIAM Journal on Matrix Analysis and Applications
A Matrix-free Approach for Solving the Parametric Gaussian Process Maximum Likelihood Problem
SIAM Journal on Scientific Computing
A circulant preconditioner for fractional diffusion equations
Journal of Computational Physics
Preconditioned iterative methods for fractional diffusion equation
Journal of Computational Physics
A note on superoptimal generalized circulant preconditioners
Applied Numerical Mathematics
New preconditioners for systems of linear equations with Toeplitz structure
Calcolo: a quarterly on numerical analysis and theory of computation
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Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, including numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing. This practical book introduces current developments in using iterative methods for solving Toeplitz systems based on the preconditioned conjugate gradient method. The authors focus on the important aspects of iterative Toeplitz solvers and give special attention to the construction of efficient circulant preconditioners. Applications of iterative Toeplitz solvers to practical problems are addressed, enabling readers to use the book s methods and algorithms to solve their own problems. An appendix containing the MATLAB programs used to generate the numerical results is included. Students and researchers in computational mathematics and scientific computing will benefit from this book.