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GMRES and the minimal polynomial

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inferredcites →https://doi.org/10.1002/zamm.19670470822openalex-snapshot
T. Kato, Perturbation theory for linear operators. (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band 132) XX + 592 S. m. 3 Fig. Berlin/Heidelberg/New York Springer‐Verlag. Preis geb. DM 79,20
inferredcites →https://doi.org/10.1007/978-3-0348-8547-8openalex-snapshot
Convergence of Iterations for Linear Equations
inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/bf01385735openalex-snapshot
On acceleration methods for coupled nonlinear elliptic systems
inferredcites →https://doi.org/10.1007/bf01386013openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01386014openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01389971openalex-snapshot
The Tchebychev iteration for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf01397475openalex-snapshot
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
inferredcites →https://doi.org/10.1007/bf01932736openalex-snapshot
Adaptive polynomial preconditioning for hermitian indefinite linear systems
inferredcites →https://doi.org/10.1016/0377-0427(93)90028-aopenalex-snapshot
The superlinear convergence behaviour of GMRES
inferredcites →https://doi.org/10.1017/cbo9780511840371openalex-snapshot
Topics in Matrix Analysis
inferredcites →https://doi.org/10.1017/s0962492900002245openalex-snapshot
Iterative solution of linear systems
inferredcites →https://doi.org/10.1063/1.3034415openalex-snapshot
Analysis of Numerical Methods
inferredcites →https://doi.org/10.1090/s0025-5718-1981-0616364-6openalex-snapshot
Krylov subspace methods for solving large unsymmetric linear systems
inferredcites →https://doi.org/10.1137/0613049openalex-snapshot
How Fast are Nonsymmetric Matrix Iterations?
inferredcites →https://doi.org/10.1137/0715053openalex-snapshot
A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0917015openalex-snapshot
GMRES and Integral Operators
inferredcites →https://doi.org/10.1137/1.9780898719468openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.1137/s0895479893246753openalex-snapshot
The Convergence of Generalized Lanczos Methods for Large Unsymmetric Eigenproblems
inferredcites →https://doi.org/10.1216/jiea/1181075914openalex-snapshot
Convergence Estimates for Solution of Integral Equations with GMRES
inferredcites →https://doi.org/10.2307/2003280openalex-snapshot
Analysis of Numerical Methods
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.2307/2308567openalex-snapshot
Linear Operators. Part I: General Theory.

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inferred← citeshttps://doi.org/10.1002/aic.15592openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/cnm.3760openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nla.1814openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nla.436openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/num.20154openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11075-014-9891-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s43037-024-00392-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0024-3795(95)00682-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anucene.2014.05.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.camwa.2021.10.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2019.112642openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2026.118872openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.compfluid.2026.107190openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cpc.2020.107645openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ifacol.2023.10.316openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2003.12.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2007.07.033openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2009.08.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2017.05.052openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2019.109008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2020.109715openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113381openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2025.114377openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jnnfm.2007.10.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2014.02.044openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physd.2013.02.008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00036-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0898-1221(03)00154-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0962492917000113openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0962492921000064openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1018932227617openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1019162908926openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1022371814205openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/b:bitn.0000014565.86918.dfopenalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2010023openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00029890.1998.12004985openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00411450.2012.672944openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/10556780108805832openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/17455030.2023.2226249openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0256-307x/41/5/053102openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tap.2015.2500908openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tcad.2010.2103270openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/110832793openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/120884328openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/140974213openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/140981010openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/17m1141291openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/21m1399658openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0036142999360573openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0036144503424439openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0895479898341669openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0895479899351805openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s1064827598339360openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s106482759834634xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1140/epjst/e2015-50317-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1186/s40064-016-3750-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1216/jie-2015-27-3-431openalex-snapshot
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inferred← citeshttps://doi.org/10.12694/scpe.v10i4.627openalex-snapshot
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inferred← citeshttps://doi.org/10.13182/nse02-14openalex-snapshot
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inferred← citeshttps://doi.org/10.13182/nse141-236openalex-snapshot
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inferred← citeshttps://doi.org/10.1364/oe.21.022578openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/cmam-2018-0010openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/rnam.2007.017openalex-snapshot
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inferred← citeshttps://doi.org/10.1553/etna_vol58s115openalex-snapshot
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inferred← citeshttps://doi.org/10.21236/ada446724openalex-snapshot
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inferred← citeshttps://doi.org/10.2478/cmam-2001-0025openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/1.15243openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/aam.oa-2023-0005openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.oa-2016-0070openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/eajam.181016.300517hopenalex-snapshot
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inferred← citeshttps://doi.org/10.4208/jcm.1201-m3848openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/nmtma.oa-2022-0159openalex-snapshot
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inferred← citeshttps://doi.org/10.4236/ojapps.2024.147107openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1601.05883openalex-snapshot
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inferred← citeshttps://doi.org/10.70675/5baea014z5fc1z4652zb797z3e965407da94openalex-snapshot
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inferred← citeshttps://doi.org/10.7939/r39p2wj5nopenalex-snapshot
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