Cover Image

Towards understanding CG and GMRES through examples

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Carson, Erin, Liesen, Jörg, Strakoš, Zdeněk
Format:	Preprint
Published:	2022
Subjects:	Numerical Analysis 15A60, 65F10, 65F35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the backward stability of s-step GMRES
by: Carson, Erin, et al.
Published: (2024)

Generalized matrix nearness problems II
by: Wang, Rongbiao Thomas, et al.
Published: (2026)

Sharp Convergence Rates and Optimal Weights for Cimmino's Reflection Algorithm
by: Sharma, Hemant
Published: (2026)

On the numerical stability of sketched GMRES
by: Burke, Liam, et al.
Published: (2025)

Flexible GMRES converges in two phases
by: Güttel, Stefan, et al.
Published: (2026)

Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods
by: Du, Kui, et al.
Published: (2024)

GMRES with randomized sketching and deflated restarting
by: Burke, Liam, et al.
Published: (2023)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

The worst-case root-convergence factor of GMRES(1)
by: He, Yunhui
Published: (2025)

Efficient Sketching-Based Summation of Tucker Tensors
by: Smith, Rudi, et al.
Published: (2026)

Sharp condition-number bounds for growth factors of Higham matrices in Gaussian elimination
by: Zhang, Teng
Published: (2026)

Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
by: Nabben, Reinhard, et al.
Published: (2026)

Optimal transfer operators for nonsymmetric two-grid methods
by: Nabben, Reinhard, et al.
Published: (2026)

Right preconditioned GMRES for arbitrary singular systems
by: Sugihara, Kota, et al.
Published: (2023)

An ensemble Kalman approach to randomized maximum likelihood estimation
by: Stavrinides, Pavlos, et al.
Published: (2025)

Structure-preserving Krylov Subspace Approximations for the Matrix Exponential of Hamiltonian Matrices: A Comparative Study
by: Benner, Peter, et al.
Published: (2026)

Estimating the numerical range with a Krylov subspace
by: Chen, Cecilia, et al.
Published: (2024)

Balancing Inexactness in Mixed Precision Matrix Computations
by: Carson, Erin Claire
Published: (2026)

Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices
by: Orera, Héctor, et al.
Published: (2025)

The Fundamental Subspaces of Ensemble Kalman Inversion
by: Qian, Elizabeth, et al.
Published: (2024)

Estimation of spectral gaps for sparse symmetric matrices
by: Benzi, Michele, et al.
Published: (2024)

A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix
by: Huang, Jinzhi, et al.
Published: (2022)

Matrix best approximation in the spectral norm
by: Faber, Vance, et al.
Published: (2025)

A generalized skew-symmetric Lanczos bidiagonalization method for computing several extreme eigenpairs of a large skew-symmetric/symmetric positive definite matrix pair
by: Huang, Jinzhi
Published: (2024)

Towards a mixed-precision ADI method for Lyapunov equations
by: Schulze, Jonas, et al.
Published: (2025)

Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root
by: Frommer, Andreas, et al.
Published: (2024)

Refined and refined harmonic Jacobi--Davidson methods for computing several GSVD components of a large regular matrix pair
by: Huang, Jinzhi, et al.
Published: (2023)

Finding accurate eigenvalues and eigenvectors of positive semi-definite matrices given a subspace
by: Nakatsukasa, Yuji, et al.
Published: (2026)

New Jacobi--Davidson type methods for the large SVD computations
by: Huang, Jinzhi, et al.
Published: (2024)

Convergence Properties of Nonlinear GMRES Applied to Linear Systems
by: Greif, Chen, et al.
Published: (2025)

MultiResolution Low-Rank Regularization of Dynamic Imaging Problems
by: Heikkilä, Tommi
Published: (2025)

Structured Backward Errors of Sparse Generalized Saddle Point Problems with Hermitian Block Matrices
by: Ahmad, Sk. Safique, et al.
Published: (2025)

Structured condition numbers for a linear function of the solution of the generalized saddle point problem
by: Ahmad, Sk. Safique, et al.
Published: (2023)

A note on the growth factor in Gaussian elimination for Higham matrices
by: Guo, Qian-Ping, et al.
Published: (2013)

Partial Condition Numbers for Double Saddle Point Problems
by: Ahmad, Sk. Safique, et al.
Published: (2025)

Iterative Refinement for a Subset of Eigenvectors of Symmetric Matrices via Matrix Multiplications
by: Terao, Takeshi, et al.
Published: (2026)

An Implicitly Restarted Joint Bidiagonalization Algorithm for Large GSVD Computations
by: Fang, Kaixiao, et al.
Published: (2025)

Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems
by: Aceto, Lidia, et al.
Published: (2024)

A refined CJ--SS--RR method with a reliable removal approach of spurious Ritz values for the Hermitian eigenvalue problem
by: Jia, Zhongxiao, et al.
Published: (2026)

A Chebyshev--Jackson series based block SS--RR algorithm for computing partial eigenpairs of real symmetric matrices
by: Jia, Zhongxiao, et al.
Published: (2025)