On the public citation graph
Krylov sequences of maximal length and convergence of GMRES
0 signed · 57 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4613-9353-5_7openalex-snapshot
Matrices that Generate the same Krylov Residual Spaces
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/s0895479894275030openalex-snapshot
Any Nonincreasing Convergence Curve is Possible for GMRES
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/gamm.201490008openalex-snapshot
Convergence analysis of Krylov subspace methods
inferred← citeshttps://doi.org/10.1002/gamm.202000015openalex-snapshot
Preconditioners for Krylov subspace methods: An overview
inferred← citeshttps://doi.org/10.1002/nla.739openalex-snapshot
Any admissible cycle-convergence behavior is possible for restarted GMRES at its initial cycles
inferred← citeshttps://doi.org/10.1007/978-3-642-18560-1_5openalex-snapshot
An Application of the Shermann-Morrison Formula to the GMRES Method
inferred← citeshttps://doi.org/10.1007/s10543-012-0374-4openalex-snapshot
GMRES and the Arioli, Pták, and Strakoš parametrization
inferred← citeshttps://doi.org/10.1007/s10543-015-0564-yopenalex-snapshot
On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1007/s10910-011-9863-yopenalex-snapshot
An analysis for the DIIS acceleration method used in quantum chemistry calculations
inferred← citeshttps://doi.org/10.1007/s11075-013-9695-xopenalex-snapshot
Prescribing the behavior of early terminating GMRES and Arnoldi iterations
inferred← citeshttps://doi.org/10.1007/s11075-013-9820-xopenalex-snapshot
Some observations on weighted GMRES
inferred← citeshttps://doi.org/10.1007/s11075-014-9891-3openalex-snapshot
The role eigenvalues play in forming GMRES residual norms with non-normal matrices
inferred← citeshttps://doi.org/10.1007/s11075-019-00846-zopenalex-snapshot
On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES
inferred← citeshttps://doi.org/10.1007/s11075-019-00851-2openalex-snapshot
On prescribing the convergence behavior of the conjugate gradient algorithm
inferred← citeshttps://doi.org/10.1007/s11075-026-02368-xopenalex-snapshot
Admissible and attainable convergence behavior with stagnation mirroring in restarted (block) GMRES
inferred← citeshttps://doi.org/10.1016/j.amc.2023.127869openalex-snapshot
GMRES algorithms over 35 years
inferred← citeshttps://doi.org/10.1016/j.apnum.2013.02.008openalex-snapshot
Necessary and sufficient conditions for GMRES complete and partial stagnation
inferred← citeshttps://doi.org/10.1016/j.cam.2013.02.020openalex-snapshot
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2008.07.008openalex-snapshot
The block grade of a block Krylov space
inferred← citeshttps://doi.org/10.1016/j.laa.2010.08.044openalex-snapshot
Functions of a matrix and Krylov matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2012.11.022openalex-snapshot
Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2014.02.044openalex-snapshot
On investigating GMRES convergence using unitary matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2018.04.031openalex-snapshot
On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence
inferred← citeshttps://doi.org/10.1016/j.laa.2023.07.008openalex-snapshot
Spectral analysis of implicit 2 stage block Runge-Kutta preconditioners
inferred← citeshttps://doi.org/10.1016/j.laa.2024.04.003openalex-snapshot
Towards understanding CG and GMRES through examples
inferred← citeshttps://doi.org/10.1023/a:1022371814205openalex-snapshot
Expressions and Bounds for the GMRES Residual
inferred← citeshttps://doi.org/10.1080/10556780108805832openalex-snapshot
On the convergence of Krylov linear equation solvers
inferred← citeshttps://doi.org/10.1098/rsta.2019.0050openalex-snapshot
On the cost of iterative computations
inferred← citeshttps://doi.org/10.1109/wacv45572.2020.9093265openalex-snapshot
Two-Grid Preconditioned Solver for Bundle Adjustment
inferred← citeshttps://doi.org/10.1137/060661545openalex-snapshot
A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting
inferred← citeshttps://doi.org/10.1137/060662149openalex-snapshot
On Optimal Short Recurrences for Generating Orthogonal Krylov Subspace Bases
inferred← citeshttps://doi.org/10.1137/110843666openalex-snapshot
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
inferred← citeshttps://doi.org/10.1137/130946009openalex-snapshot
Convergence of Inner-Iteration GMRES Methods for Rank-Deficient Least Squares Problems
inferred← citeshttps://doi.org/10.1137/140974213openalex-snapshot
A Preconditioned MINRES Method for Nonsymmetric Toeplitz Matrices
inferred← citeshttps://doi.org/10.1137/15m1053827openalex-snapshot
The Coefficients of the FOM and GMRES Residual Polynomials
inferred← citeshttps://doi.org/10.1137/17m1141291openalex-snapshot
A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning
inferred← citeshttps://doi.org/10.1137/18m1205406openalex-snapshot
Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices
inferred← citeshttps://doi.org/10.1137/19m1272469openalex-snapshot
Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES
inferred← citeshttps://doi.org/10.1137/20m1316354openalex-snapshot
An All-at-Once Preconditioner for Evolutionary Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/23m1604266openalex-snapshot
Spectral Analysis of Implicit \(\boldsymbol{S}\)-Stage Block Runge–Kutta Preconditioners
inferred← citeshttps://doi.org/10.1137/s0895479800398468openalex-snapshot
A Hermitian Lanczos Method for Normal Matrices
inferred← citeshttps://doi.org/10.1137/s0895479801398608openalex-snapshot
Convergence of Restarted Krylov Subspaces to Invariant Subspaces
inferred← citeshttps://doi.org/10.1137/s0895479897325748openalex-snapshot
On GMRES-Equivalent Bounded Operators
inferred← citeshttps://doi.org/10.1137/s0895479898341669openalex-snapshot
Computable Convergence Bounds for GMRES
inferred← citeshttps://doi.org/10.1137/s1064827502408591openalex-snapshot
A Class of Spectral Two-Level Preconditioners
inferred← citeshttps://doi.org/10.1137/s1064827503430746openalex-snapshot
GMRES Convergence Analysis for a Convection-Diffusion Model Problem
inferred← citeshttps://doi.org/10.14279/depositonce-2649openalex-snapshot
An analysis for some methods and algorithms of quantum chemistry
inferred← citeshttps://doi.org/10.14279/depositonce-4147openalex-snapshot
Recycling Krylov subspace methods for sequences of linear systems
inferred← citeshttps://doi.org/10.1515/cmam-2017-0017openalex-snapshot
GMRES Convergence Bounds for Eigenvalue Problems
inferred← citeshttps://doi.org/10.1553/etna_vol47s37openalex-snapshot
Any admissible harmonic Ritz value set is possible for GMRES
inferred← citeshttps://doi.org/10.4208/aamm.oa-2023-0066openalex-snapshot
Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation
inferred← citeshttps://doi.org/10.48550/arxiv.1604.06923openalex-snapshot
Any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms
inferred← citeshttps://doi.org/10.48550/arxiv.1609.06201openalex-snapshot
GMRES convergence bounds for eigenvalue problems
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.