Stability of the notion of approximating class of sequences and applications
type: Item
instance of: scholarly article
title: Stability of the notion of approximating class of sequences and applications
zbMATH Open document ID: 1186.40006
author: Per Sundqvist
author: Stefano Serra Capizzano
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-08T00:00:00Z
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 5309314
zbMATH Keywords: Toeplitz sequence
zbMATH Keywords: generalized locally Toeplitz sequence
zbMATH Keywords: algebra of sequences
zbMATH Keywords: generating function
zbMATH Keywords: sparsely vanishing
zbMATH Keywords: cross-validation
zbMATH Keywords: spatially invariant and variant blurring
MaRDI profile type: Publication
full work available at URL: j.cam.2007.03.027
OpenAlex ID: W2161151875
cites work: Superlinear convergence of conjugate gradients
cites work: On the Asymptotic Spectrum of Finite Element Matrix Sequences
cites work: Introduction to large truncated Toeplitz matrices
cites work: Extrapolation techniques for ill-conditioned linear systems
cites work: Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
cites work: Conjugate Gradient Methods for Toeplitz Systems
cites work: C. G. preconditioning for Toeplitz matrices
cites work: Q4895893
cites work: The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
cites work: Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
cites work: Q5185900
cites work: Q4348514
cites work: Can one hear the composition of a drum?
cites work: Preconditioning Strategies for Hermitian Indefinite Toeplitz Linear Systems
cites work: Preconditioning strategies for non‐Hermitian Toeplitz linear systems
cites work: Q4707221
cites work: Convergence Analysis of Krylov Subspace Iterations with Methods from Potential Theory
cites work: Q4828275
cites work: Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate
cites work: Q4311118
cites work: Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
cites work: Capizzano, Stefano Serra
cites work: Locally X Matrices, Spectral Distributions, Preconditioning, and Applications
cites work: Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach
cites work: Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear
cites work: Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
cites work: A Note on Antireflective Boundary Conditions and Fast Deblurring Models
cites work: The GLT class as a generalized Fourier analysis and applications
cites work: Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
cites work: On unitarily invariant norms of matrix-valued linear positive operators.
cites work: Locally Toeplitz sequences: Spectral properties and applications
cites work: A note on the spectral distribution of toeplitz matrices
cites work: Some results on complex Toeplitz eigenvalues
cites work: A unifying approach to some old and new theorems on distribution and clustering
cites work: Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
DOI: 10.1016/J.CAM.2007.03.027
description: scientific article; zbMATH DE number 5309314