Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture
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Publication:5251737
DOI10.1137/140961742zbMath1314.15015OpenAlexW1985453997WikidataQ122924214 ScholiaQ122924214MaRDI QIDQ5251737
Publication date: 21 May 2015
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140961742
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Iterative numerical methods for linear systems (65F10)
Related Items (6)
The Numerical Range is a $(1+\sqrt{2})$-Spectral Set ⋮ Nonlinear acceleration of momentum and primal-dual algorithms ⋮ Crouzeix's conjecture and related problems ⋮ Numerical investigation of Crouzeix's conjecture ⋮ Some Constants Related to Numerical Ranges ⋮ Spectral Sets: Numerical Range and Beyond
Uses Software
Cites Work
- Numerical range, GMRES and Faber polynomials.
- Numerical range and functional calculus in Hilbert space
- Fields of values and iterative methods
- Constants related to operators of class \(C_\rho\)
- Finite Blaschke products of contractions
- Bounds for analytical functions of matrices
- Crouzeix's conjecture and perturbed Jordan blocks
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Geometric aspects of the theory of Krylov subspace methods
- GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
- Pseudospectra of Linear Operators
- SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
- Some Remarks on the Elman Estimate for GMRES
- GMRES Convergence Analysis for a Convection-Diffusion Model Problem
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
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