Some uses of the field of values in numerical analysis
From MaRDI portal
Publication:2024162
DOI10.1007/s40574-020-00249-2zbMath1470.65084OpenAlexW3045088334MaRDI QIDQ2024162
Publication date: 3 May 2021
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40574-020-00249-2
Iterative numerical methods for linear systems (65F10) Numerical linear algebra (65F99) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices ⋮ Further results on the \(a\)-numerical range in \(C^\ast\)-algebras ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ Hilbert-Schmidt numerical radius of a pair of operators ⋮ Eigenvalue characterization of some structured matrix pencils under linear perturbation ⋮ GMRES algorithms over 35 years ⋮ Unnamed Item ⋮ Analysis of Probing Techniques for Sparse Approximation and Trace Estimation of Decaying Matrix Functions ⋮ On numerical radius bounds involving generalized Aluthge transform ⋮ Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?
- Numerical range, GMRES and Faber polynomials.
- Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices
- Numerical range and functional calculus in Hilbert space
- Fields of values and iterative methods
- Block triangular preconditioners for nonsymmetric saddle point problems: Field-of-values analysis
- Bounds for the entries of matrix functions with applications to preconditioning
- Field-of-values analysis of preconditioned iterative methods for nonsymmetric elliptic problems
- Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
- Decay properties for functions of matrices over \(C^\ast\)-algebras
- Field-of-values analysis of preconditioned linearized Rayleigh-Bénard convection problems
- Stopping criteria for iterative methods: applications to PDE's
- Finite Element Solution of Boundary Value Problems
- Constraint Preconditioning for the Coupled Stokes--Darcy System
- Field of Values Analysis of a Two-Level Preconditioner for the Helmholtz Equation
- Finite Elements and Fast Iterative Solvers
- Iterative Methods for Linear Systems
- Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure
- Localization in Matrix Computations: Theory and Applications
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Error Estimates and Evaluation of Matrix Functions via the Faber Transform
- Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem
- Numerical solution of saddle point problems
- Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Analysis of Preconditioners for Saddle-Point Problems
- Any Nonincreasing Convergence Curve is Possible for GMRES
- Mixed Finite Element Methods and Applications
- Analysis of two-grid methods: The nonnormal case
- Spectral Sets: Numerical Range and Beyond
- Error Bounds for the Krylov Subspace Methods for Computations of Matrix Exponentials
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Functions of Matrices
