Conjugate Gradient Methods for Toeplitz Systems
SIAM Review
Iterative methods for solving linear systems
Iterative methods for solving linear systems
Locally X Matrices, Spectral Distributions, Preconditioning, and Applications
SIAM Journal on Matrix Analysis and Applications
Digital Image Processing
Superlinear Convergence of Conjugate Gradients
SIAM Journal on Numerical Analysis
A Note on Antireflective Boundary Conditions and Fast Deblurring Models
SIAM Journal on Scientific Computing
Preconditioning Strategies for Hermitian Indefinite Toeplitz Linear Systems
SIAM Journal on Scientific Computing
Theoretical Computer Science - Algebraic and numerical algorithm
Iterative Methods for Toeplitz Systems (Numerical Mathematics and Scientific Computation)
Iterative Methods for Toeplitz Systems (Numerical Mathematics and Scientific Computation)
The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
Journal of Approximation Theory
On the Asymptotic Spectrum of Finite Element Matrix Sequences
SIAM Journal on Numerical Analysis
| Hi-index | 7.29 |
Given an approximating class of sequences {{B"n","m}"n}"m for {A"n}"n, we prove that {{B"n","m^+}"n}"m (X^+ being the pseudo-inverse of Moore-Penrose) is an approximating class of sequences for {A"n^+}"n, where {A"n}"n is a sparsely vanishing sequence of matrices A"n of size d"n with d"kd"q for kq,k,q@?N. As a consequence, we extend distributional spectral results on the algebra generated by Toeplitz sequences, by including the (pseudo) inversion operation, in the case where the sequences that are (pseudo) inverted are distributed as sparsely vanishing symbols. Applications to preconditioning and a potential use in image/signal restoration problems are presented.