@techreport{GN26,
  title   = {Flexible {GMRES} converges in two phases},
  author  = {G\"{u}ttel, Stefan and Nyman, Lauri},
  year    = {2026},
  number  = {arXiv:2604.27971},
  pages   = {18},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2604.27971},
  code    = {https://github.com/NymanLauri/convergence-of-FGMRES},
  annote  = {featured entry}
}

@techreport{RGLL26,
  title   = {Data-driven discovery of chemical reaction networks},
  author  = {Reyes-Velazquez, Abraham and G\"{u}ttel, Stefan and Larrosa, Igor and Latz, Jonas},
  year    = {2026},
  number  = {arXiv:2602.11849},
  pages   = {30},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2602.11849},
  code    = {https://github.com/nla-group/ChemSINDy},
  annote  = {featured entry}
}

@techreport{GR26,
  title   = {Fast and explainable clustering in the {M}anhattan and {T}animoto distance},
  author  = {G\"{u}ttel, Stefan and Roy, Kaustubh},
  year    = {2026},
  number  = {arXiv:2601.08781},
  pages   = {13},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2601.08781},
  code    = {https://github.com/kaustubhroy1995/classix_tanimoto_manhattan},
  annote  = {featured entry}
}

@techreport{GS25,
  title   = {Concentrated real-pole uniform-in-time approximation of the matrix exponential},
  author  = {G\"{u}ttel, Stefan and Shao, Shuai},
  year    = {2025},
  number  = {arXiv:2511.21858},
  pages   = {16},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2511.21858},
  annote  = {featured entry}
}

@techreport{GP25,
  title   = {Stabilizing randomized {GMRES} through flexible {GMRES}},
  author  = {G\"{u}ttel, Stefan and Pearson, John W.},
  year    = {2025},
  number  = {arXiv:2506.18408},
  pages   = {16},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2506.18408},
  code    = {https://github.com/nla-group/fastGMRES},
  annote  = {featured entry}
}

@techreport{GNWB24,
  title   = {A {S}herman--{M}orrison--{W}oodbury approach to solving least squares problems with low-rank updates},
  author  = {G\"{u}ttel, Stefan and Nakatsukasa, Yuji and Webb, Marcus and Bloor Riley, Alban},
  year    = {2024},
  number  = {arXiv:2406.15120},
  pages   = {6},
  institution = {arXiv}, 
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2406.15120},
  code    = {https://github.com/nla-group/WoodburyLS},
  annote  = {featured entry}
}

@article{BG25,
  title   = {Fast parallel transient electromagnetic modeling using a uniform-in-time approximation to the exponential},
  author  = {B\"{o}rner, Ralph-Uwe and G\"{u}ttel, Stefan},
  journal = {Geophysical Journal International},
  year    = {2025},
  pages   = {ggaf319},
  url     = {https://doi.org/10.1093/gji/ggaf319},
  webpdf  = {https://arxiv.org/abs/2506.11657},
  code    = {https://github.com/ruboerner/tem-exp-rkfit} 
}

@article{BGS25,
  title   = {{GMRES} with randomized sketching and deflated restarting},
  author  = {Burke, Liam and G\"{u}ttel, Stefan and Soodhalter, Kirk},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year    = {2025},
  volume  = {46},
  number  = {1},
  pages   = {702--725},
  url     = {https://doi.org/10.1137/23M1619472},
  webpdf  = {https://arxiv.org/abs/2311.14206},
  code    = {https://github.com/nla-group/GMRES-SDR},
}

@article{BG24,
  title   = {Krylov subspace recycling with randomized sketching for matrix functions},
  author  = {Burke, Liam and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year    = {2024},
  volume  = {45},
  number  = {4},
  pages   = {2243--2262},
  url     = {https://doi.org/10.1137/23M1595904},
  webpdf  = {https://arxiv.org/abs/2308.02290},
  code    = {https://github.com/burkel8/srFOM}
}

@article{CG24c,
  title   = {{fABBA: A Python library for the fast symbolic approximation of time series}},
  author  = {Chen, Xinye and G\"{u}ttel, Stefan},
  year    = {2024},
  volume  = {9},
  number  = {95},
  pages   = {6294},
  journal = {Journal of Open Source Software},
  url     = {https://doi.org/10.21105/joss.06294},
  webpdf  = {https://joss.theoj.org/papers/10.21105/joss.06294},
  code    = {https://github.com/nla-group/fABBA}
}

@article{GKV24,
  title   = {Randomized sketching of nonlinear eigenvalue problems},
  author  = {G\"{u}ttel, Stefan and Kressner, Daniel and Vandereycken, Bart},
  journal = {SIAM Journal on Scientific Computing},
  year    = {2024},
  volume  = {46},
  number  = {5},
  pages   = {A3022--A3043},
  url     = {https://doi.org/10.1137/22M153656X},
  webpdf  = {https://arxiv.org/abs/2211.12175},
  code    = {https://gitlab.unige.ch/Bart.Vandereycken/sketchAAA}
}

@article{CG24a,
  title   = {Fast and explainable clustering based on sorting},
  author  = {Chen, Xinye and G\"{u}ttel, Stefan},
  year    = {2024},
  volume  = {150},
  number  = {},
  pages   = {110298},
  journal = {Pattern Recognition},
  url     = {https://doi.org/10.1016/j.patcog.2024.110298},
  webpdf  = {https://arxiv.org/abs/2202.01456},
  code    = {https://github.com/nla-group/classix}
}

@article{CG24b,
  title   = {Fast and exact fixed-radius neighbor search based on sorting},
  author  = {Chen, Xinye and G\"{u}ttel, Stefan},
  year    = {2024},
  volume  = {10},
  number  = {},
  pages   = {e1929},
  journal = {PeerJ Computer Science},
  url     = {https://doi.org/10.7717/peerj-cs.1929},
  webpdf  = {https://arxiv.org/abs/2212.07679},
  code    = {https://github.com/nla-group/snn}
}

@article{GS24,
  title   = {A sketch-and-select {A}rnoldi process},
  author  = {G\"{u}ttel, Stefan and Simunec, Igor},
  journal = {SIAM Journal on Scientific Computing},
  year    = {2024},
  volume  = {46},
  number  = {4},
  pages   = {A2774--A2797},
  url     = { https://doi.org/10.1137/23M1588007},
  webpdf  = {https://arxiv.org/abs/2306.03592},
  code    = {https://github.com/simunec/sketch-select-arnoldi}
}

@article{GS23,
  title   = {Randomized sketching for {K}rylov approximations of large-scale matrix functions},
  author  = {G\"{u}ttel, Stefan and Schweitzer, Marcel},
  year    = {2023},
  volume  = {44},
  number  = {3},
  pages   = {1073--1095},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  url     = {https://doi.org/10.1137/22M1518062},
  webpdf  = {https://arxiv.org/abs/2208.11447},
  code    = {https://github.com/marcelschweitzer/sketched_fAb}
}

@inproceedings{CCG23,
  author    = {Cahuantzi, Roberto and Chen, Xinye and G\"{u}ttel, Stefan},
  title     = {A comparison of {LSTM} and {GRU} networks for learning symbolic sequences},
  year      = {2023},
  booktitle = {Lecture Notes in Networks and Systems},
  publisher = {Springer},
  pages     = {771-785},
  doi       = {10.1007/978-3-031-37963-5_53},
  url       = {https://doi.org/10.1007/978-3-031-37963-5_53},
  webpdf    = {https://arxiv.org/abs/2107.02248},
  code      = {https://github.com/robcah/RNNExploration4SymbolicTS}
}

@article{CG23,
  title   = {An efficient aggregation method for the symbolic representation of temporal data},
  author  = {Chen, Xinye and G\"{u}ttel, Stefan},
  year    = {2023},
  volume  = {17},
  number  = {1},
  pages   = {1--22},
  journal = {ACM Transactions on Knowledge Discovery from Data},
  url     = {https://doi.org/10.1145/3532622},
  webpdf  = {https://arxiv.org/abs/2201.05697},
  code    = {https://github.com/nla-group/fabba}
}

@article{NGT22,
  title   = {Robust rational approximations of nonlinear eigenvalue problems},
  author  = {Negri Porzio, Gian Maria and G\"{u}ttel, Stefan and Tisseur, Fran\c{c}oise},
  year    = {2022},
  volume  = {44},
  number  = {4},
  pages   = {A2439--A2463},
  journal = {SIAM Journal on Scientific Computing},
  url     = {https://doi.org/10.1137/20M1380533},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2796/},
  code    = {https://github.com/Gmnp/nep2rat}
}

@article{DGK22,
  title   = {Model order reduction of layered waveguides via rational {K}rylov fitting},
  author  = {Druskin, Vladimir and G\"{u}ttel, Stefan and Knizhnerman, Leonid},
  year    = {2022},
  volume  = {62},
  pages   = {1551--1572},
  journal = {BIT Numerical Mathematics},
  url     = {https://doi.org/10.1007/s10543-022-00922-2},
  webpdf  = {http://eprints.maths.manchester.ac.uk/id/eprint/2805},
  code    = {http://guettel.com/rktoolbox/examples/html/example_ehcompress.html} 
}

@inproceedings{CG21,
  author    = {Chen, Xinye and G\"{u}ttel, Stefan},
  title     = {A fast sorting-based aggregation method for symbolic time series representation},
  year      = {2021},
  booktitle = {Proceedings of the 2021 International Conference on Data Mining Workshops (ICDMW)},
  publisher = {IEEE},
  pages     = {1009--1016},
  doi       = {10.1109/ICDMW53433.2021.00131},
  url       = {https://doi.org/10.1109/ICDMW53433.2021.00131},
  code    = {https://github.com/nla-group/fabba}
}

@techreport{OGSCJ21,
  title   = {Pre-treatment of outliers and anomalies in plant data: {M}ethodology and case study of a Vacuum Distillation Unit},
  author  = {Oster, Kamil and G\"{u}ttel, Stefan and Shapiro, Jonathan L. and Chen, Lu and Jobson, Megan},
  year    = {2021},
  number  = {arXiv:2106.14641},
  pages   = {33},
  institution = {arXiv},
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2106.14641}
}

@article{GP22,
  title   = {{A spectral-in-time Newton--Krylov method for nonlinear PDE-constrained optimization}},
  author  = {Stefan G\"{u}ttel and John W. Pearson},
  year    = {2022},
  volume  = {42},
  number  = {2},
  pages   = {1478--1499},
  journal = {IMA Journal of Numerical Analysis}, 
  doi     = {10.1093/imanum/drab011},
  url     = {https://doi.org/10.1093/imanum/drab011},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2800/},
  code    = {https://github.com/nla-group/pdeoptim}
}

@article{BGH21,
  title   = {Calculating elements of matrix functions using divided differences},
  author  = {Barash, Lev and G\"{u}ttel, Stefan and Hen, Itay},
  year    = {2021},
  journal = {Computer Physics Communications}, 
  volume  = {271},
  pages   = {108219},
  doi     = {10.1016/j.cpc.2021.108219},
  url     = {https://doi.org/10.1016/j.cpc.2021.108219},
  webpdf  = {https://arxiv.org/abs/2107.14124},
  code    = {https://github.com/LevBarash/MatrixFunctions}
}

@article{GS21,
  title   = {{A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices}},
  author  = {G\"{u}ttel, Stefan and Schweitzer, Marcel},
  year    = {2021},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {42},
  number  = {1},
  pages   = {83--107},
  doi     = {10.1137/20M1351072},
  url     = {https://doi.org/10.1137/20M1351072},
  webpdf  = {https://arxiv.org/abs/2006.05922}
}

@article{GG21,
  title   = {Algorithms for the rational approximation of matrix-valued functions},
  author  = {Gosea, Ion Victor and G\"{u}ttel, Stefan},
  year    = {2021},
  volume  = {43},
  number  = {5},
  pages   = {A3033--A3054},
  journal = {SIAM Journal on Scientific Computing}, 
  url     = {https://doi.org/10.1137/20M1324727},
  webpdf  = {https://arxiv.org/abs/2003.06410},
  code    = {https://github.com/nla-group/block_aaa}
}

@article{PHG21,
  title   = {{A Hamiltonian decomposition for fast interior-point solvers in model predictive control}},
  author  = {Poupard, Eduardo and Heath, William P. and G\"{u}ttel, Stefan},
  year    = {2021},
  volume  = {133},
  pages   = {109833},
  journal = {Automatica},
  url     = {https://doi.org/10.1016/j.automatica.2021.109833},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2747/}
}

@article{GKL20,
  title   = {Limited-memory polynomial methods for large-scale matrix functions},
  author  = {G\"{u}ttel, Stefan and Kressner, Daniel and Lund, Kathryn},
  year    = {2020},
  volume  = {43},
  number  = {4},
  journal = {GAMM-Mitteilungen},
  pages   = {e202000019},
  doi     = {10.1002/gamm.202000019},
  url     = {https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.202000019},
  webpdf  = {https://arxiv.org/abs/2002.01682}
}

@techreport{EG20c,
  title   = {{Time series forecasting using LSTM networks: A symbolic approach}},
  author  = {Elsworth, Steven and G\"{u}ttel, Stefan},
  year    = {2020},
  number  = {arXiv:2003.05672v1},
  pages   = {12},
  institution = {arXiv},
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2003.05672},
  code    = {https://github.com/nla-group/ABBA-LSTM}
}

@article{EG20b,
  title   = {{ABBA: adaptive Brownian bridge-based symbolic aggregation of time series}},
  author  = {Elsworth, Steven and G\"{u}ttel, Stefan},
  year    = {2020},
  volume  = {34},
  pages   = {1175--1200},
  doi     = {10.1007/s10618-020-00689-6},
  url     = {https://doi.org/10.1007/s10618-020-00689-6},
  journal = {Data Mining and Knowledge Discovery},
  webpdf  = {https://arxiv.org/abs/2003.12469},
  code    = {https://github.com/nla-group/ABBA}
}

@article{EG20a,
  title   = {The block rational {A}rnoldi method},
  author  = {Elsworth, Steven and G\"{u}ttel, Stefan},
  year    = {2020},
  volume  = {41},
  number  = {2},
  pages   = {365--388},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  doi     = {10.1137/19M1245505},
  url     = {https://doi.org/10.1137/19M1245505},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2685/},
  code    = {https://rktoolbox.org/}
}

@inproceedings{PHG19,
  author    = {Poupard, Eduardo and Heath, William P. and G\"{u}ttel, Stefan},
  title     = {A {H}amiltonian decomposition-based splitting method for 
               interior point solvers in model predictive control},
  year      = {2019},
  booktitle = {Proceedings of the 2019 IEEE 58th Conference on Decision and Control},
  publisher = {IEEE},
  pages     = {4337--4342},
  doi       = {10.1109/CDC40024.2019.9029520},
  url       = {https://doi.org/10.1109/CDC40024.2019.9029520}
}

@article{QG19,
  title   = {A block rational {K}rylov method for three-dimensional time-domain 
			 marine controlled-source electromagnetic modeling},
  author  = {Qiu, Changkai and G\"{u}ttel, Stefan and Ren, Xiuyan and Yin, Changchun 
			 and Liu, Yunhe and Zhang, Bo and Egbert, Gary},
  year    = {2019},
  volume  = {218},
  pages   = {100--114},
  journal = {Geophysical Journal International},
  doi     = {10.1093/gji/ggz129},
  url     = {https://doi.org/10.1093/gji/ggz129},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2687/}
}

@article{EG19,
  title   = {Conversions between barycentric, {RKFUN}, and {N}ewton representations of 
             rational interpolants},
  author  = {Elsworth, Steven and G\"{u}ttel, Stefan},
  year    = {2019},
  volume  = {576},
  pages   = {246--257},
  journal = {Linear Algebra and its Applications},
  doi     = {10.1016/j.laa.2018.10.003},
  url     = {https://doi.org/10.1016/j.laa.2018.10.003},
  webpdf  = {https://arxiv.org/abs/1711.00707}
}

@inproceedings{GPG19,
  author  = {Gander, Martin J. and Petcu, Madalina and G\"{u}ttel, Stefan},
  title   = {A nonlinear {ParaExp} algorithm},
  year    = {2019},
  volume  = {125},
  editor  = {Bj{\o}rstad, Petter E. and Brenner, Susanne C. and Halpern, Lawrence
             and Kim, Hyea Hyun and Kornhuber, Ralf and Rahman, Talal and Widlund, Olof B.},
  booksubtitle = {Lecture Notes in Computational Science and Engineering},
  booktitle    = {Domain Decomposition Methods in Science and Engineering XXIV}, 
  publisher    = {Springer-Verlag, Berlin},
  pages        = {261--270},
  doi          = {10.1007/978-3-319-93873-8_24},
  url          = {https://doi.org/10.1007/978-3-319-93873-8_24},
  webpdf       = {http://eprints.maths.manchester.ac.uk/2616/}
}

@article{GP18,
  title   = {A rational deferred correction approach to parabolic optimal control problems},
  author  = {G\"{u}ttel, Stefan and Pearson, John W.},
  journal = {IMA Journal of Numerical Analysis},
  volume  = {38},
  number  = {4},
  pages   = {1861--1892},
  year    = {2018},
  doi     = {10.1093/imanum/drx046},
  url     = {https://doi.org/10.1093/imanum/drx046},
  webpdf  = {https://eprints.maths.manchester.ac.uk/2559/},
  code    = {http://guettel.com/dccontrol/}
}

@article{KMG18, 
  title   = {Scabies in residential care homes: {M}odelling, inference and interventions 
			for well-connected population sub-units},
  author  = {Kinyanjui, Timothy and Middleton, Jo and G\"{u}ttel, Stefan and Cassell, Jackie  
			and Ross, Joshua}, 
  journal = {PLOS Computational Biology},
  volume  = {14},
  number  = {3},
  pages   = {1--24},
  year    = {2018},
  doi     = {10.1371/journal.pcbi.1006046},
  url     = {https://doi.org/10.1371/journal.pcbi.1006046},
  webpdf  = {https://doi.org/10.1371/journal.pcbi.1006046}
}

@article{BG17b,
  title   = {The {RKFIT} algorithm for nonlinear rational approximation},
  author  = {Berljafa, Mario and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Scientific Computing},
  volume  = {39},
  number  = {5},
  pages   = {A2049--A2071},
  year    = {2017},
  doi     = {10.1137/15M1025426},
  url     = {https://doi.org/10.1137/15M1025426},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2530/},
  code    = {https://rktoolbox.org/}
}

@article{BG17a,
  title   = {Parallelization of the rational {A}rnoldi algorithm},
  author  = {Berljafa, Mario and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Scientific Computing},
  volume  = {39},
  number  = {5},
  pages   = {S197--S221},
  year    = {2017},
  doi     = {10.1137/16M1079178},
  url     = {https://doi.org/10.1137/16M1079178},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2503/}
}

@article{GT17,
  title   = {The nonlinear eigenvalue problem},
  author  = {G\"{u}ttel, Stefan and Tisseur, Fran\c{c}oise},
  journal = {Acta Numerica},
  volume  = {26},
  pages   = {1--94},
  year    = {2017},
  doi     = {10.1017/S0962492917000034},
  url     = {https://doi.org/10.1017/S0962492917000034},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2538/}
}

@article{DGK16,
  title   = {Near-optimal perfectly matched layers for indefinite {H}elmholtz problems},
  author  = {Druskin, Vladimir and G\"{u}ttel, Stefan and Knizhnerman, Leonid},
  journal = {SIAM Review},
  volume  = {58},
  number  = {1},
  pages   = {90--116},
  year    = {2016},
  doi     = {10.1137/140966927},
  url     = {https://doi.org/10.1137/140966927},
  webpdf  = {https://arxiv.org/abs/1507.06265}
}

@article{GN16,
  title   = {Scaled and squared subdiagonal {P}ad\'{e} approximation for the matrix exponential},
  author  = {G\"{u}ttel, Stefan and Nakatsukasa, Yuji},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {37},
  number  = {1},
  pages   = {145--170},
  year    = {2016},
  doi     = {10.1137/15M1027553},
  url     = {https://doi.org/10.1137/15M1027553},
  webpdf  = {https://eprints.maths.manchester.ac.uk/2322/},
  code    = {https://people.maths.ox.ac.uk/nakatsukasa/expmpade.htm}
}

@inproceedings{BGSS15,
  author    = {Butters, Timothy D. and G\"{u}ttel, Stefan and Shapiro, Jonathan L. and Sharpe, Tim J.},
  title     = {Automatic real-time fault detection for industrial assets using metasensors},
  year      = {2015},
  booktitle = {Proceedings of the 2015 Asset Management Conference},
  publisher = {The Institute of Engineering and Technology},
  pages     = {1--5},
  doi       = {10.1049/cp.2015.1717},
  url       = {https://doi.org/10.1049/cp.2015.1717},
  webpdf    = {http://eprints.maths.manchester.ac.uk/2382/}
}

@article{BG15,
  title   = {Generalized rational {K}rylov decompositions with an application to 
             rational approximation},
  author  = {Berljafa, Mario and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {36},
  number  = {2},
  pages   = {894--916},
  year    = {2015},
  doi     = {10.1137/140998081},
  url     = {https://doi.org/10.1137/140998081},
  webpdf  = {https://eprints.maths.manchester.ac.uk/2278/}
}

@inproceedings{BGS15,
  author    = {Butters, Timothy D. and G\"{u}ttel, Stefan and Shapiro, Jonathan L.},
  title     = {Detecting and reducing redundancy in alarm networks},
  year      = {2015},
  booktitle = {Proceedings of the IEEE International Conference 
               on Automation Science and Engineering (CASE)},
  publisher = {IEEE},
  pages     = {1224--1229},
  doi       = {10.1109/CoASE.2015.7294265},
  url       = {https://doi.org/10.1109/CoASE.2015.7294265},
  webpdf    = {http://eprints.maths.manchester.ac.uk/2302/}
}

@article{GPTV15,
  title   = {Zolotarev quadrature rules and load balancing for the {FEAST} eigensolver},
  author  = {G\"{u}ttel, Stefan and Polizzi, Eric and Tang, Peter and Viaud, Gautier},
  journal = {SIAM Journal on Scientific Computing},
  volume  = {37},
  number  = {4},
  pages   = {A2100--A2122},
  year    = {2015},
  doi     = {10.1137/140980090},
  url     = {https://doi.org/10.1137/140980090},
  webpdf  = {https://arxiv.org/abs/1407.8078}
}

@article{BGE15,
  title   = {Three-dimensional transient electromagnetic modeling using rational {K}rylov methods},
  author  = {B\"{o}rner, Ralph-Uwe and G\"{u}ttel, Stefan and Ernst, Oliver G.},
  journal = {Geophysical Journal International},
  volume  = {202},
  number  = {3},
  pages   = {2025--2043},
  year    = {2015},
  doi     = {10.1093/gji/ggv224},
  url     = {https://doi.org/10.1093/gji/ggv224},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2219/}
}

@techreport{BG14,
  title   = {A {R}ational {K}rylov {T}oolbox for {MATLAB}},
  author  = {Berljafa, Mario and Elsworth, Steven and G\"{u}ttel, Stefan},
  year    = {2014},
  number  = {2014.56},
  pages   = {14},
  institution = {The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.maths.manchester.ac.uk/2773/},
  code    = {http://rktoolbox.org}
}

@article{FGS14b,
  title   = {Convergence of restarted {K}rylov subspace methods for {S}tieltjes functions of matrices},
  author  = {Frommer, Andreas and G\"{u}ttel, Stefan and Schweitzer, Marcel},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {35},
  number  = {4},
  pages   = {1602--1624},
  year    = {2014},
  doi     = {10.1137/140973463},
  url     = {https://doi.org/10.1137/140973463},
  webpdf  = {https://eprints.maths.manchester.ac.uk/2185/}
}

@article{FGS14a,
  title   = {Efficient and stable {A}rnoldi restarts for matrix functions based on quadrature},
  author  = {Frommer, Andreas and G\"{u}ttel, Stefan and Schweitzer, Marcel},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {35},
  number  = {2},
  pages   = {661--683},
  year    = {2014},
  doi     = {10.1137/13093491X},
  url     = {https://doi.org/10.1137/13093491X},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2104/},
  code    = {http://www.guettel.com/funm_quad/}
}

@inproceedings{BGSS14,
  author    = {Butters, Timothy D. and G\"{u}ttel, Stefan and Shapiro, Jonathan L. and Sharpe, Tim J.},
  title     = {Statistical cluster analysis and visualisation for alarm management configuration},
  year      = {2014},
  booktitle = {Proceedings of the 2014 Asset Management Conference},
  publisher = {The Institute of Engineering and Technology},
  pages     = {1--6},
  doi       = {10.1049/cp.2014.1027},
  url       = {https://doi.org/10.1049/cp.2014.1027},
  webpdf    = {http://eprints.maths.manchester.ac.uk/2187/}
}

@article{GV14,
  title   = {{NLEIGS}: {A} class of fully rational {K}rylov methods for nonlinear eigenvalue problems},
  author  = {G\"{u}ttel, Stefan and Van Beeumen, Roel and Meerbergen, Karl and Michiels, Wim},
  journal = {SIAM Journal on Scientific Computing},
  volume  = {36},
  number  = {6},
  pages   = {A2842--A2864},
  year    = {2014},
  doi     = {10.1137/130935045},
  url     = {https://doi.org/10.1137/130935045},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2019/},
  code    = {https://bitbucket.org/roelvb/nleigs/src/master/}
}

@article{GK14,
  title   = {Efficient high-order rational integration and deferred correction with equispaced data},
  author  = {G\"{u}ttel, Stefan and Klein, Georges},
  journal = {Electronic Transactions on Numerical Analysis},
  volume  = {41},
  pages   = {443--464},
  year    = {2014},
  url     = {http://etna.math.kent.edu/vol.41.2014/pp443-464.dir/pp443-464.pdf},
  webpdf  = {http://etna.math.kent.edu/vol.41.2014/pp443-464.dir/pp443-464.pdf}
}

@article{JG14,
  title   = {A spatially adaptive iterative method for a class of nonlinear operator eigenproblems},
  author  = {Jarlebring, Elias and G\"{u}ttel, Stefan},
  journal = {Electronic Transactions on Numerical Analysis},
  volume  = {41},
  pages   = {21--41},
  year    = {2014},
  url     = {http://etna.math.kent.edu/vol.41.2014/pp21-41.dir/pp21-41.pdf},
  webpdf  = {http://etna.math.kent.edu/vol.41.2014/pp21-41.dir/pp21-41.pdf}
}

@article{GP14,
  title   = {Some observations on weighted {GMRES}},
  author  = {G\"{u}ttel, Stefan and Pestana, Jennifer},
  journal = {Numerical Algorithms},
  volume  = {67},
  number  = {4},
  pages   = {733--752},
  year    = {2014},
  doi     = {10.1007/s11075-013-9820-x},
  url     = {https://doi.org/10.1007/s11075-013-9820-x},
  webpdf  = {http://eprints.maths.manchester.ac.uk/2084/}
}

@article{Gue13b,
  title   = {Rational {K}rylov approximation of matrix functions: 
              {N}umerical methods and optimal pole selection},
  author  = {G\"{u}ttel, Stefan},
  journal = {GAMM-Mitteilungen},
  volume  = {36},
  number  = {1},
  pages   = {8--31},
  year    = {2013},
  doi     = {10.1002/gamm.201310002},
  url     = {https://doi.org/10.1002/gamm.201310002},
  webpdf  = {https://ora.ox.ac.uk/objects/uuid:cd6a7402-1d50-4055-ac28-9b53eace04e1}
}

@article{GK13,
  title   = {A black-box rational {A}rnoldi variant for {C}auchy--{S}tieltjes matrix functions},
  author  = {G\"{u}ttel, Stefan and Knizhnerman, Leonid},
  journal = {BIT Numerical Mathematics},
  volume  = {53},
  number  = {3},
  pages   = {595--616},
  year    = {2013},
  doi     = {10.1007/s10543-013-0420-x},
  url     = {https://doi.org/10.1007/s10543-013-0420-x},
  webpdf  = {http://eprints.maths.manchester.ac.uk/1883/}
}

@article{GGT13,
  title   = {Robust {P}ad\'{e} approximation via {SVD}},
  author  = {Gonnet, Pedro and G\"{u}ttel, Stefan and Trefethen, Lloyd Nick},
  journal = {SIAM Review},
  volume  = {55},
  number  = {1},
  pages   = {101--117},
  year    = {2013},
  doi     = {10.1137/110853236},
  url     = {https://doi.org/10.1137/110853236},
  webpdf  = {http://www.guettel.com/download/gonnet_guettel_trefethen.pdf}
}

@article{GG13,
  title   = {{PARAEXP}: {A} parallel integrator for linear initial-value problems},
  author  = {Gander, Martin J. and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Scientific Computing},
  volume  = {35},
  number  = {2},
  pages   = {C123--C142},
  year    = {2013},
  doi     = {10.1137/110856137},
  url     = {https://doi.org/10.1137/110856137},
  webpdf  = {http://guettel.com/download/paraexp.pdf},
  code    = {https://github.com/guettel/paraexp}
}

@article{GK12,
  title   = {Convergence of linear barycentric rational interpolation for analytic functions},
  author  = {G\"{u}ttel, Stefan and Klein, Georges},
  journal = {SIAM Journal on Numerical Analysis},
  volume  = {50},
  number  = {5},
  pages   = {2560--2580},
  year    = {2012},
  doi     = {10.1137/120864787},
  url     = {https://doi.org/10.1137/120864787},
  webpdf  = {http://guettel.com/download/barycentric_interpolation.pdf}
}

@article{BG12,
  title   = {Superlinear convergence of the rational {A}rnoldi method for the approximation of matrix functions},
  author  = {Beckermann, Bernhard and G\"{u}ttel, Stefan},
  journal = {Numerische Mathematik},
  volume  = {121},
  number  = {2},
  pages   = {205--236},
  year    = {2012},
  doi     = {10.1007/s00211-011-0434-8},
  url     = {https://doi.org/10.1007/s00211-011-0434-8},
  webpdf  = {http://guettel.com/download/superlinear-convergence.pdf}
}

@inproceedings{GK11,
  author  = {G\"{u}ttel, Stefan and Knizhnerman, Leonid},
  title   = {Automated parameter selection for rational {A}rnoldi approximation of {M}arkov functions},
  booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
  volume  = {11},
  number  = {1},
  publisher = {Wiley-VCH Verlag},
  issn    = {1617-7061},
  pages   = {15--18},
  year    = {2011},
  doi     = {10.1002/pamm.201110005},
  url     = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201110005},
  webpdf  = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201110005},
  code    = {http://guettel.com/markovfunmv/}
}

@inproceedings{Gue13a,
  author  = {G\"{u}ttel, Stefan},
  title   = {A parallel overlapping time-domain decomposition method for {ODE}s},
  year    = {2013},
  volume  = {91},
  editor  = {Bank, R.E. and Holst, M. and Widlund, O.B. and Xu, J.},
  booksubtitle = {Lecture Notes in Computational Science and Engineering},
  booktitle    = {Domain Decomposition Methods in Science and Engineering XX}, 
  publisher    = {Springer-Verlag, Berlin},
  pages        = {483--490},
  doi          = {10.1007/978-3-642-35275-1_54},
  url          = {https://doi.org/10.1007/978-3-642-35275-1_54},
  webpdf       = {http://guettel.com/download/time-domain-decomposition.pdf},
  code    = {https://github.com/guettel/paraexp}
}

@PhDThesis{Gue10,
  title   = {Rational {K}rylov Methods for Operator Functions},
  author  = {G\"{u}ttel, Stefan},
  school  = {Technische Universit\"{a}t Bergakademie Freiberg},
  address = {Germany},
  year    = {2010},
  url     = {https://nbn-resolving.org/urn:nbn:de:bsz:105-qucosa-27645}
}

@article{EEG11,
  title   = {Deflated restarting for matrix functions},
  author  = {Eiermann, Michael and Ernst, Oliver G. and G\"{u}ttel, Stefan},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {32},
  number  = {2},
  pages   = {621--641},
  year    = {2011},
  doi     = {10.1137/090774665},
  url     = {https://doi.org/10.1137/090774665},
  webpdf  = {http://guettel.com/download/deflated-restarting.pdf},
  code    = {http://guettel.com/funm_kryl/}
}

@article{BGV10,
  title   = {On the convergence of rational {R}itz values},
  author  = {Beckermann, Bernhard and G\"{u}ttel, Stefan and Vandebril, Raf},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume  = {31},
  number  = {4},
  pages   = {1740--1774},
  year    = {2010},
  doi     = {10.1137/090755412},
  url     = {https://doi.org/10.1137/090755412},
  webpdf  = {http://guettel.com/download/convergence-of-rational-ritz-values.pdf}
}

@article{AEEG08b,
  title   = {A generalization of the steepest descent method for matrix functions},
  author  = {Afanasjew, Martin and Eiermann, Michael and Ernst, Oliver G. and G\"{u}ttel, Stefan},
  journal = {Electronic Transactions on Numerical Analysis},
  volume  = {28},
  pages   = {206--222},
  year    = {2008},
  url     = {http://etna.math.kent.edu/vol.28.2007-2008/pp206-222.dir/pp206-222.pdf},
  webpdf  = {http://etna.math.kent.edu/vol.28.2007-2008/pp206-222.dir/pp206-222.pdf}
}

@article{AEEG08a,
  title   = {Implementation of a restarted {K}rylov subspace method for the evaluation of 
             matrix functions},
  author  = {Afanasjew, Martin and Eiermann, Michael and Ernst, Oliver G. and G\"{u}ttel, Stefan},
  journal = {Linear Algebra and its Applications},
  volume  = {429},
  number  = {10},
  pages   = {2293--2314},
  year    = {2008},
  doi     = {10.1016/j.laa.2008.06.029},
  url     = {https://doi.org/10.1016/j.laa.2008.06.029},
  webpdf  = {http://guettel.com/download/Implementation-Restarted-Krylov-Subspace-Method-Matrix-Functions.pdf},
  code    = {http://guettel.com/funm_kryl/}
}

@MastersThesis{Gue06,
  title   = {Convergence Estimates of {K}rylov Subspace Methods for the Approximation of Matrix 
             Functions Using Tools from Potential Theory},
  author  = {G\"{u}ttel, Stefan},
  school  = {Technische Universit\"{a}t Bergakademie Freiberg},
  address = {Germany},
  year    = {2006},
  note    = {Diploma thesis available as MIMS Eprint 2015.34.},
  url     = {https://eprints.maths.manchester.ac.uk/2301/}
}