@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/} }