Computation of asymptotic spectral distributions for sequences of grid operators

DOI10.1134/S0965542520110093OpenAlexW3111329515MaRDI QIDQ2214603

Sergey Morozov, Evgenij E. Tyrtyshnikov, Stefano Serra Capizzano

Publication date: 10 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520110093

zbMATH Keywords

eigenvaluespreconditioningsingular valuesToeplitz matricesdiscretization of partial differential equationslocally Toeplitz sequencesGLT sequences

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX) Approximations and expansions (41-XX)

Related Items (1)

A systematic approach to reduced GLT

Cites Work

• Unnamed Item
• Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size
• The GLT class as a generalized Fourier analysis and applications
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols
• On the distribution of the singular values of Toeplitz matrices
• On bilinear forms in Gaussian random variables and Toeplitz matrices
• Circulant preconditioners for Toeplitz-block matrices
• Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
• Circulant preconditioners with unbounded inverses
• Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
• A unifying approach to some old and new theorems on distribution and clustering
• Generalized Locally Toeplitz Sequences: Theory and Applications
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Optimal and Superoptimal Circulant Preconditioners
• Isogeometric Analysis
• Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
• Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness
• The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications
• Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach

This page was built for publication: Computation of asymptotic spectral distributions for sequences of grid operators