A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems
From MaRDI portal
Publication:4603424
DOI10.4208/eajam.181016.300517hzbMath1383.65028OpenAlexW2798419572MaRDI QIDQ4603424
Ze-Jia Xie, Zhi Zhao, Xiao-qing Jin
Publication date: 20 February 2018
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.181016.300517h
numerical experimentsminimal residual methodconvergence boundToeplitz systemHermitian indefinite linear systems
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Preconditioned iterative methods for fractional diffusion equation
- A circulant preconditioner for fractional diffusion equations
- Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations
- On the rate of convergence of the preconditioned conjugate gradient method
- The rate of convergence of conjugate gradients
- A class of iterative methods for finite element equations
- The superlinear convergence behaviour of GMRES
- Further results on the convergence behavior of conjugate-gradients and Ritz values
- GMRES and the minimal polynomial
- Preconditioners for Nondefinite Hermitian Toeplitz Systems
- Superlinear Convergence of Conjugate Gradients
- An Introduction to Applied Matrix Analysis
- On the Superlinear Convergence of MINRES
- Iterative Methods for Linear Systems
- Superoptimal Preconditioners for Functions of Matrices
- A Proposal for Toeplitz Matrix Calculations
- An Optimal Circulant Preconditioner for Toeplitz Systems
- Some Superlinear Convergence Results for the Conjugate Gradient Method
- Optimal and Superoptimal Circulant Preconditioners
- Solution of Sparse Indefinite Systems of Linear Equations
- Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method
- A Note on the Superlinear Convergence of GMRES
- Conjugate Gradient Methods for Toeplitz Systems
- A Preconditioned MINRES Method for Nonsymmetric Toeplitz Matrices
- Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space
- Preconditioning
- On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
- An Introduction to Iterative Toeplitz Solvers
