Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size
type: Item
instance of: scholarly article
title: Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size
zbMATH Open document ID: 1368.15008
author: Carlo Garoni
published in: Linear Algebra and its Applications
publication date: 2016-11-25T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 54E25
Mathematics Subject Classification ID: 28A20
zbMATH DE Number: 6656085
zbMATH Keywords: PDE discretizations
zbMATH Keywords: matrix-sequences
zbMATH Keywords: singular value asymptotics
zbMATH Keywords: eigenvalue asymptotics
zbMATH Keywords: topology in linear algebra
MaRDI profile type: Publication
full work available at URL: j.laa.2016.10.021
OpenAlex ID: W2556710134
cites work: On bilinear forms in Gaussian random variables and Toeplitz matrices
cites work: Q3415147
cites work: Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
cites work: Introduction to large truncated Toeplitz matrices
cites work: Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices
cites work: The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications
cites work: The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications
cites work: A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences
cites work: Q4917542
cites work: Q3752135
cites work: Q4064160
cites work: On the distribution of the singular values of Toeplitz matrices
cites work: Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach
cites work: Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
cites work: The GLT class as a generalized Fourier analysis and applications
cites work: A note on the spectral distribution of toeplitz matrices
cites work: Locally Toeplitz sequences: Spectral properties and applications
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
cites work: Asymptotic behavior of block Toeplitz matrices and determinants. II
cites work: Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function
DOI: 10.1016/J.LAA.2016.10.021
description: scientific article; zbMATH DE number 6656085