@techreport{NGT20,
  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    = {2020},
  number  = {2020.24},
  pages   = {24},
  institution = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.maths.manchester.ac.uk/2796/}
}

@techreport{PHG20,
  title   = {{A spectral-in-time Newton--Krylov method for nonlinear 
              PDE-constrained optimization}},
  author  = {G\"{u}ttel, Stefan and Pearson, John W.},
  year    = {2020},
  number  = {2020.16},
  pages   = {17},
  institution = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.maths.manchester.ac.uk/2772/}
}

@techreport{EG20,
  title   = {{A comparison of limited-memory Krylov methods for Stieltjes functions 
              of Hermitian matrices}},
  author  = {Schweitzer, Marcel and G\"{u}ttel, Stefan},
  year    = {2020},
  number  = {arXiv:2006.05922},
  pages   = {24},
  note    = {accepted for publication in SIMAX}, 
  institution = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2006.05922}
}

@techreport{EG20,
  title   = {{Algorithms for the rational approximation of matrix-valued functions}},
  author  = {Gosea, Ion Victor and G\"{u}ttel, Stefan},
  year    = {2020},
  number  = {arXiv:2003.06410v1},
  pages   = {21},
  institution = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2003.06410}
}

@techreport{EG20,
  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 = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {arXiv EPrint},
  url     = {https://arxiv.org/abs/2003.05672}
}

@techreport{PHG20,
  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    = {2020},
  number  = {2020.6},
  pages   = {14},
  institution = {Manchester Institute for Mathematical Sciences, 
                 The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.maths.manchester.ac.uk/2747/}
}

@techreport{PHG20,
  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},
  issue={4},
  journal = {GAMM-Mitteilungen},
  pages = {e202000019}
}

@article{EG19b,
  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},
  url     = {http://link.springer.com/article/10.1007/s10618-020-00689-6},
  journal = {Data Mining and Knowledge Discovery}
}

@article{EG20,
  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 J. Matrix Anal. Appl.}
}

@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}
}

@article{QG18,
  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 = {Geophys. J. Int.}
}

@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 Appl.}
}

@techreport{DGK16b,
  title   = {Compressing variable-coefficient exterior {H}elmholtz problems via {RKFIT}},
  author  = {Druskin, Vladimir and G{\"u}ttel, Stefan and Knizhnerman, Leonid},
  year    = {2016},
  number  = {2016.53},
  pages   = {21},
  institution = {Manchester Institute for Mathematical Sciences, The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.ma.man.ac.uk/2512/}
}

@inproceedings{Gue13a,
  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}
}

@article{GP17,
  title   = {A rational deferred correction approach to parabolic optimal control problems},
  author  = {G{\"u}ttel, Stefan and Pearson, John W.},
  journal = {IMA J. Numer. Anal.},
  volume  = {38},
  number  = {4},
  pages   = {1861--1892},
  year    = {2018}
}

@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 Comput. Biol.},
  volume  = {14},
  number  = {3},
  pages   = {1--24},
  year    = {2018}
}

@article{BG17b,
  title   = {The {RKFIT} algorithm for nonlinear rational approximation},
  author  = {Berljafa, Mario and G{\"u}ttel, Stefan},
  journal = {SIAM J. Sci. Comput.},
  volume  = {39},
  number  = {5},
  pages   = {A2049--A2071},
  year    = {2017}
}

@article{BG17a,
  title   = {Parallelization of the rational {A}rnoldi algorithm},
  author  = {Berljafa, Mario and G{\"u}ttel, Stefan},
  journal = {SIAM J. Sci. Comput.},
  volume  = {39},
  number  = {5},
  pages   = {S197--S221},
  year    = {2017}
}

@article{GT17,
  title   = {The nonlinear eigenvalue problem},
  author  = {G{\"u}ttel, Stefan and Tisseur, Fran\c{c}oise},
  journal = {Acta Numer.},
  volume  = {26},
  pages   = {1--94},
  year    = {2017}
}

@article{DGK16a,
  title   = {Near-optimal perfectly matched layers for indefinite {H}elmholtz problems},
  author  = {Druskin, Vladimir and G{\"u}ttel, Stefan and Knizhnerman, Leonid},
  journal = {SIAM Rev.},
  volume  = {58},
  number  = {1},
  pages   = {90--116},
  year    = {2016}
}

@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 J. Matrix Anal. Appl.},
  volume  = {37},
  number  = {1},
  pages   = {145--170},
  year    = {2016}
}

@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}
}

@article{BG15a,
  title   = {Generalized rational {K}rylov decompositions with an application to 
             rational approximation},
  author  = {Berljafa, Mario and G{\"u}ttel, Stefan},
  journal = {SIAM J. Matrix Anal. Appl.},
  volume  = {36},
  number  = {2},
  pages   = {894--916},
  year    = {2015}
}

@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}
}

@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 J. Sci. Comput.},
  volume  = {37},
  number  = {4},
  pages   = {A2100--A2122},
  year    = {2015}
}

@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 = {Geophys. J. Int.},
  volume  = {202},
  number  = {3},
  pages   = {2025--2043},
  year    = {2015}
}

@techreport{BG14,
  title   = {A {R}ational {K}rylov {T}oolbox for {MATLAB}},
  author  = {Berljafa, Mario and G{\"u}ttel, Stefan},
  year    = {2014},
  number  = {2014.56},
  pages   = {8},
  institution = {Manchester Institute for Mathematical Sciences, The University of Manchester},
  address = {UK},
  type    = {MIMS EPrint},
  url     = {http://eprints.ma.man.ac.uk/2209/}
}

@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 J. Matrix Anal. Appl.},
  volume  = {35},
  number  = {4},
  pages   = {1602--1624},
  year    = {2014}
}

@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}
}

@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 J. Sci. Comput.},
  volume  = {36},
  number  = {6},
  pages   = {A2842--A2864},
  year    = {2014}
}

@article{GK14,
  title   = {Efficient high-order rational integration and deferred correction with equispaced data},
  author  = {G{\"u}ttel, Stefan and Klein, Georges},
  journal = {Electron. Trans. Numer. Anal.},
  volume  = {41},
  pages   = {443--464},
  year    = {2014}
}

@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 J. Matrix Anal. Appl.},
  volume  = {35},
  number  = {2},
  pages   = {661--683},
  year    = {2014}
}

@article{JG14,
  title   = {A spatially adaptive iterative method for a class of nonlinear operator eigenproblems},
  author  = {Jarlebring, Elias and G{\"u}ttel, Stefan},
  journal = {Electron. Trans. Numer. Anal.},
  volume  = {41},
  pages   = {21--41},
  year    = {2014}
}

@article{GP14,
  title   = {Some observations on weighted {GMRES}},
  author  = {G{\"u}ttel, Stefan and Pestana, Jennifer},
  journal = {Numer. Algorithms},
  volume  = {67},
  number  = {4},
  pages   = {733--752},
  year    = {2014}
}

@article{Gue13b,
  title   = {Rational {K}rylov approximation of matrix functions: {N}umerical methods 
             and optimal pole selection},
  author  = {G{\"u}ttel, Stefan},
  journal = {GAMM-Mitt.},
  volume  = {36},
  number  = {1},
  pages   = {8--31},
  year    = {2013}
}

@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 Numer. Math.},
  volume  = {53},
  number  = {3},
  pages   = {595--616},
  year    = {2013}
}

@article{GGT13,
  title   = {Robust {P}ad\'{e} approximation via {SVD}},
  author  = {Gonnet, Pedro and G{\"u}ttel, Stefan and Trefethen, Lloyd Nick},
  journal = {SIAM Rev.},
  volume  = {55},
  number  = {1},
  pages   = {101--117},
  year    = {2013}
}

@article{GG13,
  title   = {{PARAEXP}: {A} parallel integrator for linear initial-value problems},
  author  = {Gander, Martin J. and G{\"u}ttel, Stefan},
  journal = {SIAM J. Sci. Comput.},
  volume  = {35},
  number  = {2},
  pages   = {C123--C142},
  year    = {2013}
}

@article{GK12,
  title   = {Convergence of linear barycentric rational interpolation for analytic functions},
  author  = {G{\"u}ttel, Stefan and Klein, Georges},
  journal = {SIAM J. Numer. Anal.},
  volume  = {50},
  number  = {5},
  pages   = {2560--2580},
  year    = {2012}
}

@article{BG12,
  title   = {Superlinear convergence of the rational {A}rnoldi method},
  author  = {Beckermann, Bernhard and G{\"u}ttel, Stefan},
  journal = {Numer. Math.},
  volume  = {121},
  number  = {2},
  pages   = {205--236},
  year    = {2012}
}

@article{GK11,
  author  = {G{\"u}ttel, Stefan and Knizhnerman, Leonid},
  title   = {Automated parameter selection for rational {A}rnoldi approximation of {M}arkov functions},
  journal = {PAMM},
  volume  = {11},
  number  = {1},
  publisher = {Wiley-VCH Verlag},
  issn    = {1617-7061},
  url     = {http://dx.doi.org/10.1002/pamm.201110005},
  doi     = {10.1002/pamm.201110005},
  pages   = {15--18},
  year    = {2011}
}

@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}
}

@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},
  note    = {Dissertation available as MIMS Eprint 2017.39.},
  url     = {http://eprints.ma.man.ac.uk/2586/}
}

@article{EEG11,
  title   = {Deflated restarting for matrix functions},
  author  = {Eiermann, Michael and Ernst, Oliver G. and G{\"u}ttel, Stefan},
  journal = {SIAM J. Matrix Anal. Appl.},
  volume  = {32},
  number  = {2},
  pages   = {621--641},
  year    = {2011}
}

@article{BGV10,
  title   = {On the convergence of rational Ritz values},
  author  = {Beckermann, Bernhard and G{\"u}ttel, Stefan and Vandebril, Raf},
  journal = {SIAM J. Matrix Anal. Appl.},
  volume  = {31},
  number  = {4},
  pages   = {1740--1774},
  year    = {2010}
}

@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 = {Electron. Trans. Numer. Anal.},
  volume  = {28},
  pages   = {206--222},
  year    = {2008}
}

@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 Appl.},
  volume  = {429},
  number  = {10},
  pages   = {2293--2314},
  year    = {2008}
}

@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     = {http://eprints.ma.man.ac.uk/2301/}
}