@techreport{DGK21,
title = {Model order reduction of layered waveguides via rational {K}rylov fitting},
author = {Druskin, Vladimir and G{\"u}ttel, Stefan and Knizhnerman, Leonid},
year = {2021},
number = {2021.2},
pages = {24},
institution = {Manchester Institute for Mathematical Sciences, The University of Manchester},
address = {UK},
type = {MIMS EPrint},
url = {http://eprints.maths.manchester.ac.uk/id/eprint/2805}
}
@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},
note = {accepted for publication in IMA J. Numer. Anal.},
institution = {Manchester Institute for Mathematical Sciences,
The University of Manchester},
address = {UK},
type = {MIMS EPrint},
url = {http://eprints.maths.manchester.ac.uk/2772/}
}
@article{EG20,
title = {{A comparison of limited-memory Krylov methods for Stieltjes functions
of Hermitian matrices}},
author = {Schweitzer, Marcel and G\"{u}ttel, Stefan},
year = {2021},
journal = {SIAM J. Matrix Anal. Appl.},
volume = {42},
number = {1},
pages = {83--107}
}
@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{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}
}
@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.}
}
@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/}
}