bibtex
@techreport{kürschner2023inexact, title={Inexact linear solves in the low-rank ADI iteration for large Sylvester equations}, author={Patrick Kürschner}, year={2023}, type={Arxiv eprint, 2312.02891}, url={https://arxiv.org/abs/2312.02891}}
@software{Kuersch_inexact_RKSM_ADI, author = {K{\"u}rschner, P.}, title = {Inexact RKSM and low-rank ADI for large Lyapunov equations (v1.0)}, year = 2023, doi = {10.5281/zenodo.7461993}}
@software{Kuersch_RKSM_TLBT, author = {K{\"u}rschner, P.}, title = {RKSM_TLBT - Rational Krylov subspace methods for time-limited Gramians (v1.0)}, year = 2022, doi = {10.5281/zenodo.7366026}}
@article{polyBTD, author = {Vanderstukken, J. and K{\"u}rschner, P. and Domanov, I. and De Lathauwer, L.}, title = {{S}ystems of polynomial equations, higher-order tensor decompositions and multidimensional harmonic retrieval: a unifying framework -- {P}art {II}: {T}he block-term decomposition}, number = {2},volume=42, pages={913–953 },journal={SIAM J. Matrix Analysis and Applications}, year = {2021},url={https://doi.org/10.1137/17M1150062},}
@Article{KueF20, author = {K{\"u}rschner, P. and Freitag, M.}, title = {Inexact methods for the low rank solution to large scale {L}yapunov equations}, year = 2020,volume = 60,pages = {1221–1259}, journal = {BIT Numerical Mathematics}, url = {https://doi.org/10.1007/s10543-020-00813-4}}
@article{AREcompare20, author = {Benner, P. and Bujanovi{\'c}, Z. and K{\"u}rschner, P. and Saak, J.}, title = {A numerical comparison of solvers for large-scale, continuous-time algebraic {R}iccati equations and {LQR} problems}, journal = {{SIAM} [J}. {S}ci. {C}omput.}, year = {2020}, volume = {42}, number=2, pages={A957--A996},doi = {10.1137/18M1220960}, url = {https://doi.org/10.1137/18M1220960 },}
@software{AREsoftware20, author = {Saak, J. and K{\"u}rschner, P. and Bujanovi{\'c}, Z. and Benner, P.}, title = {Collected MATLAB solvers for large-scale AREs}, year = 2020, publisher = {Zenodo}, version = {1.0}, doi = {10.5281/zenodo.3662519}, url = {https://doi.org/10.5281/zenodo.3662519}}
@article{Kuehn2020,author={Kuehn, Christianand K{\"u}rschner, Patrick},title={Combined error estimates for local fluctuations of {SPDE}s},journal={Advances in Computational Mathematics},year={2020},month={Feb},volume=46,number=1,pages=11,doi={10.1007/s10444-020-09766-2},}
@article{KreKM20, author = {Kressner, D. and K\"{u}rschner, P. and Massei, S.}, title = {Low-rank updates and divide-and-conquer methods for quadratic matrix equations}, year = 2020, journal = {Numer. Alg.}, volume = 84, doi = {10.1007/s11075-019-00776-w}, pages = {717-741}}
@article{KueDHetal19, author = {K{\"u}rschner, P. and Dolgov, S. and Harris, K.~D. and Benner P.}, title = {Greedy low-rank algorithm for spatial connectome regression}, journal = {J. Math. Neurosc. }, year = {2019},volume = {9}, number = {1},pages = {9}, doi = {10.1186/s13408-019-0077-0 }}
@Article{Kue19, author = {K\"{u}rschner, P.}, title = {Approximate residual minimizing shift parameters for the low-rank {ADI} iteration}, journal = {Electron. Trans. Numer. Anal.}, volume = {51}, year = {2019}, pages = {240--261}, doi = {10.1553/etna_vol51s240},}
@arcticle{PalK21, author= {Palitta, D. and K{\"u}rschner, P.}, title= {On the convergence of Krylov methods with low-rank truncations}, journal = {Numer. Alg.}, year = 2021, doi = {10.1007/s11075-021-01080-2}}
@Article{PDufK20, author= {{Pontes Duff}, I. and K{\"u}rschner, P.}, title= {Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems},journal = {Lin. Alg. Appl.},volume=623,pages={367-397},year ={2021},doi = {10.1016/j.laa.2020.09.029}}
@Article{BenBKetal18b, author = {Benner, P. and Bujanovi{\'c}, Z. and K{\"u}rschner, P. and Saak, J.}, title = {{RADI}: A low-rank {ADI}-type algorithm for large scale algebraic {R}iccati equations}, journal = {Numer. Math.}, year = 2018, volume = 138, number = 2, pages = {301--330}, month = feb, doi = {10.1007/s00211-017-0907-5}}
@Article{FreKP18, author = {Freitag, M. and K{\"u}rschner, P. and Pestana, J.}, title = {{GMRES} convergence bounds for eigenvalue problems}, journal = {Comput. Meth. Appl. Mat.}, year = 2018, volume = 18, number = 2, pages = {203--222}, month = apr, doi = {10.1515/cmam-2017-0017}}
@Article{RedK18, author = {Redmann, M. and K{\"u}rschner, P.}, title = {An Output Error Bound for Time-Limited Balanced Truncation}, journal = {Syst. Control Lett.}, year = 2018, volume = 121, pages = {1--6}, doi = {10.1016/j.sysconle.2018.08.004}}
@Article{Kue18a, author = {K{\"u}rschner, P.}, title = {Balanced truncation model order reduction in limited time intervals for large systems}, journal = {Advances in Computational Mathematics}, volume = {44}, number = {6}, year = 2018, pages = {1821--1844}, doi = {10.1007/s10444-018-9608-6}}
@PhdThesis{Kue16, author = {Patrick K{\"u}rschner}, title = {Efficient Low-Rank Solution of Large-Scale Matrix Equations}, school = OVGU, year = 2016, type = {{D}issertation}, address = {Magdeburg, Germany}, month = apr, note = {Shaker Verlag, ISBN 978-3-8440-4385-3}, url = {http://hdl.handle.net/11858/00-001M-0000-0029-CE18-2}}
@Article{BenKS16a, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Frequency-Limited Balanced Truncation with Low-Rank Approximations}, journal = {SIAM J. Sci. Comput.}, year = 2016, volume = 38, number = 1, pages = {A471--A499}, month = Feb, doi = {10.1137/15M1030911}}
@Article{BenKTetal16, author = {Benner, P. and K{\"u}rschner, P. and Tomljanovi\'{c}, Z. and Truhar, N.}, title = {Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm}, journal = {ZAMM-Z. Angew. Math. Me.}, year = 2016, volume = 96, number = 5, pages = {604--619}, doi = {10.1002/zamm.201400158}}
@Article{BenKS16, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Low-Rank {Newton-ADI} methods for Large Nonsymmetric Algebraic {R}iccati Equations}, journal = {J. Frankl. Inst.}, year = 2016, volume = 353, number = 5, pages = {1147--1167}, doi = {10.1016/j.jfranklin.2015.04.016}}
@Article{FreK15, author = {Freitag, M.~A. and K{\"u}rschner, P.}, title = {Tuned preconditioners for inexact two-sided inverse and {R}ayleigh quotient iteration}, journal = {Numer. Linear Algebr.}, year = 2015, volume = 22, number = 1, pages = {175--196}, doi = {10.1002/nla.1945}, issn = {1099-1506}}
@Article{BenK14, author = {P. Benner and P. K{\"u}rschner}, title = {Computing Real Low-rank Solutions of {S}ylvester equations by the Factored {ADI} Method}, journal = {Computers and Mathematics with Applications}, year = 2014, volume = 67, number = 9, pages = {1656--1672}, doi = {10.1016/j.camwa.2014.03.004}, issn = {0898-1221}}
@Article{BenKS14b, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Self-Generating and Efficient Shift Parameters in {ADI} Methods for Large {L}yapunov and {S}ylvester Equations}, journal = {Electronic Transaction on Numerical Analysis}, year = 2014, volume = 43, pages = {142--162}, issn = {1068-9613}}
@Article{NowKEetal13, author = {Nowakowski, C. and K{\"u}rschner, P. and Eberhard, P. and Benner, P.}, title = {Model reduction of an elastic crankshaft for elastic multibody simulations}, journal = {ZAMM-Z. Angew. Math. Me.}, year = 2013, volume = 93, pages = {198--216}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, publisher = WileyVCH, issn = {1521-4001}, issue = 4, doi = {10.1002/zamm.201200054}}
@Article{BenKS13c, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Efficient Handling of Complex Shift Parameters in the Low-Rank {C}holesky Factor {ADI} Method}, journal = {Numer. Alg.}, year = 2013, volume = 62, number = 2, pages = {225--251}, doi = {10.1007/s11075-012-9569-7}, issn = {1017-1398}}
@Article{BenKS13a, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {A Reformulated Low-Rank {ADI} Iteration with Explicit Residual Factors}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2013, volume = 13, number = 1, pages = {585--586}, doi = {10.1002/pamm.201310273}, issn = {1617-7061}}
@InProceedings{FreK13, author = {Freitag, M.~A. and K{\"u}rschner, P.}, title = {Inner-outer methods for large-scale two-sided eigenvalue problems}, booktitle = {Oberwolfach Report - Numerical Solution of PDE Eigenvalue Problems}, year = 2013, volume = 56, pages = {86--89}, doi = {10.4171/OWR/2013/56}}
@Article{BenKS12b, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {A Goal-Oriented Dual {LRCF-ADI} for Balanced Truncation}, journal = {IFAC Proceedings Volumes (7th Vienna International Conference on Mathematical Modelling)}, year = 2012, volume = 45, number = 2, pages = {752--757}, doi = {10.3182/20120215-3-AT-3016.00133}}
@Article{BenKS12a, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Improved Second-Order Balanced Truncation for Symmetric Systems}, journal = {IFAC Proceedings Volumes (7th Vienna International Conference on Mathematical Modelling)}, year = 2012, volume = 45, number = 2, pages = {758--762}, doi = {10.3182/20120215-3-AT-3016.00134}}
@Article{BenKS13b, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems}, journal = {Mathematical and Computer Modelling of Dynamical Systems}, year = 2013, volume = 19, number = 6, pages = {593--615}, doi = {10.1080/13873954.2013.794363}}
@Article{BenKS12c, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Avoiding complex arithmetic in the low-rank {ADI} method efficiently}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2012, volume = 12, pages = {639--640}, doi = {10.1002/pamm.201210308}, issn = {1617-7061}, publisher = WileyVCH}
@TechReport{BenKS12d, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Real versions of low-rank {ADI} methods with complex shifts}, institution = {Max Planck Institute Magdeburg}, year = 2012, type = {Technical report}, number = {MPIMD/12-11}, month = may, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}}
@Article{BenHK11a, author = {Benner, P. and Hochstenbach, M. and K{\"u}rschner, P.}, title = {Two-sided harmonic subspace extractions for the generalized eigenvalue problem}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2011, volume = 11, pages = {739--740}, date = 2011, doi = {10.1002/pamm.201110359}, issn = {1617-7061}, publisher = WileyVCH}
@InProceedings{BenHK11b, author = {Benner, P. and Hochstenbach, M.~E. and K{\"u}rschner, P.}, title = {Model order reduction of large-scale dynamical systems with {J}acobi-{D}avidson style eigensolvers}, booktitle = {International Conference on Communications, Computing and Control Applications (CCCA) 2011}, year = 2011, pages = {1--6}, month = mar, publisher = {IEEE}, doi = {10.1109/CCCA.2011.6031208}}
@InProceedings{BenEKetal11, author = {Benner, P. and Eberhard, P. and Knoll, G. and K{\"u}rschner, P. and Nowakowski, Christine C.and Ochse, G.}, title = {Optimale {FE}-{R}eduktion, {M}oderne {M}odellreduktion elastischer {B}auteile f\"ur die {S}imulation flexibler {M}ehrk\"orpersysteme}, booktitle = {Informationstagung Motoren: Fr\"uhjahrstagung 2011}, year = 2011, volume = {Heft R 553}, series = {Forschungsvereinigung Verbrennungskraftmaschinen}, pages = {175--197}}
@MastersThesis{Kue10, author = {P. K{\"u}rschner}, title = {Two-Sided Eigenvalue Methods for Modal Approximation}, school = {Chemnitz University of Technology, Department of Mathematics, Germany}, year = 2010}
@software{Kuersch_inexact_RKSM_ADI, author = {K{\"u}rschner, P.}, title = {Inexact RKSM and low-rank ADI for large Lyapunov equations (v1.0)}, year = 2023, doi = {10.5281/zenodo.7461993}}
@software{Kuersch_RKSM_TLBT, author = {K{\"u}rschner, P.}, title = {RKSM_TLBT - Rational Krylov subspace methods for time-limited Gramians (v1.0)}, year = 2022, doi = {10.5281/zenodo.7366026}}
@article{polyBTD, author = {Vanderstukken, J. and K{\"u}rschner, P. and Domanov, I. and De Lathauwer, L.}, title = {{S}ystems of polynomial equations, higher-order tensor decompositions and multidimensional harmonic retrieval: a unifying framework -- {P}art {II}: {T}he block-term decomposition}, number = {2},volume=42, pages={913–953 },journal={SIAM J. Matrix Analysis and Applications}, year = {2021},url={https://doi.org/10.1137/17M1150062},}
@Article{KueF20, author = {K{\"u}rschner, P. and Freitag, M.}, title = {Inexact methods for the low rank solution to large scale {L}yapunov equations}, year = 2020,volume = 60,pages = {1221–1259}, journal = {BIT Numerical Mathematics}, url = {https://doi.org/10.1007/s10543-020-00813-4}}
@article{AREcompare20, author = {Benner, P. and Bujanovi{\'c}, Z. and K{\"u}rschner, P. and Saak, J.}, title = {A numerical comparison of solvers for large-scale, continuous-time algebraic {R}iccati equations and {LQR} problems}, journal = {{SIAM} [J}. {S}ci. {C}omput.}, year = {2020}, volume = {42}, number=2, pages={A957--A996},doi = {10.1137/18M1220960}, url = {https://doi.org/10.1137/18M1220960 },}
@software{AREsoftware20, author = {Saak, J. and K{\"u}rschner, P. and Bujanovi{\'c}, Z. and Benner, P.}, title = {Collected MATLAB solvers for large-scale AREs}, year = 2020, publisher = {Zenodo}, version = {1.0}, doi = {10.5281/zenodo.3662519}, url = {https://doi.org/10.5281/zenodo.3662519}}
@article{Kuehn2020,author={Kuehn, Christianand K{\"u}rschner, Patrick},title={Combined error estimates for local fluctuations of {SPDE}s},journal={Advances in Computational Mathematics},year={2020},month={Feb},volume=46,number=1,pages=11,doi={10.1007/s10444-020-09766-2},}
@article{KreKM20, author = {Kressner, D. and K\"{u}rschner, P. and Massei, S.}, title = {Low-rank updates and divide-and-conquer methods for quadratic matrix equations}, year = 2020, journal = {Numer. Alg.}, volume = 84, doi = {10.1007/s11075-019-00776-w}, pages = {717-741}}
@article{KueDHetal19, author = {K{\"u}rschner, P. and Dolgov, S. and Harris, K.~D. and Benner P.}, title = {Greedy low-rank algorithm for spatial connectome regression}, journal = {J. Math. Neurosc. }, year = {2019},volume = {9}, number = {1},pages = {9}, doi = {10.1186/s13408-019-0077-0 }}
@Article{Kue19, author = {K\"{u}rschner, P.}, title = {Approximate residual minimizing shift parameters for the low-rank {ADI} iteration}, journal = {Electron. Trans. Numer. Anal.}, volume = {51}, year = {2019}, pages = {240--261}, doi = {10.1553/etna_vol51s240},}
@arcticle{PalK21, author= {Palitta, D. and K{\"u}rschner, P.}, title= {On the convergence of Krylov methods with low-rank truncations}, journal = {Numer. Alg.}, year = 2021, doi = {10.1007/s11075-021-01080-2}}
@Article{PDufK20, author= {{Pontes Duff}, I. and K{\"u}rschner, P.}, title= {Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems},journal = {Lin. Alg. Appl.},volume=623,pages={367-397},year ={2021},doi = {10.1016/j.laa.2020.09.029}}
@Article{BenBKetal18b, author = {Benner, P. and Bujanovi{\'c}, Z. and K{\"u}rschner, P. and Saak, J.}, title = {{RADI}: A low-rank {ADI}-type algorithm for large scale algebraic {R}iccati equations}, journal = {Numer. Math.}, year = 2018, volume = 138, number = 2, pages = {301--330}, month = feb, doi = {10.1007/s00211-017-0907-5}}
@Article{FreKP18, author = {Freitag, M. and K{\"u}rschner, P. and Pestana, J.}, title = {{GMRES} convergence bounds for eigenvalue problems}, journal = {Comput. Meth. Appl. Mat.}, year = 2018, volume = 18, number = 2, pages = {203--222}, month = apr, doi = {10.1515/cmam-2017-0017}}
@Article{RedK18, author = {Redmann, M. and K{\"u}rschner, P.}, title = {An Output Error Bound for Time-Limited Balanced Truncation}, journal = {Syst. Control Lett.}, year = 2018, volume = 121, pages = {1--6}, doi = {10.1016/j.sysconle.2018.08.004}}
@Article{Kue18a, author = {K{\"u}rschner, P.}, title = {Balanced truncation model order reduction in limited time intervals for large systems}, journal = {Advances in Computational Mathematics}, volume = {44}, number = {6}, year = 2018, pages = {1821--1844}, doi = {10.1007/s10444-018-9608-6}}
@PhdThesis{Kue16, author = {Patrick K{\"u}rschner}, title = {Efficient Low-Rank Solution of Large-Scale Matrix Equations}, school = OVGU, year = 2016, type = {{D}issertation}, address = {Magdeburg, Germany}, month = apr, note = {Shaker Verlag, ISBN 978-3-8440-4385-3}, url = {http://hdl.handle.net/11858/00-001M-0000-0029-CE18-2}}
@Article{BenKS16a, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Frequency-Limited Balanced Truncation with Low-Rank Approximations}, journal = {SIAM J. Sci. Comput.}, year = 2016, volume = 38, number = 1, pages = {A471--A499}, month = Feb, doi = {10.1137/15M1030911}}
@Article{BenKTetal16, author = {Benner, P. and K{\"u}rschner, P. and Tomljanovi\'{c}, Z. and Truhar, N.}, title = {Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm}, journal = {ZAMM-Z. Angew. Math. Me.}, year = 2016, volume = 96, number = 5, pages = {604--619}, doi = {10.1002/zamm.201400158}}
@Article{BenKS16, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Low-Rank {Newton-ADI} methods for Large Nonsymmetric Algebraic {R}iccati Equations}, journal = {J. Frankl. Inst.}, year = 2016, volume = 353, number = 5, pages = {1147--1167}, doi = {10.1016/j.jfranklin.2015.04.016}}
@Article{FreK15, author = {Freitag, M.~A. and K{\"u}rschner, P.}, title = {Tuned preconditioners for inexact two-sided inverse and {R}ayleigh quotient iteration}, journal = {Numer. Linear Algebr.}, year = 2015, volume = 22, number = 1, pages = {175--196}, doi = {10.1002/nla.1945}, issn = {1099-1506}}
@Article{BenK14, author = {P. Benner and P. K{\"u}rschner}, title = {Computing Real Low-rank Solutions of {S}ylvester equations by the Factored {ADI} Method}, journal = {Computers and Mathematics with Applications}, year = 2014, volume = 67, number = 9, pages = {1656--1672}, doi = {10.1016/j.camwa.2014.03.004}, issn = {0898-1221}}
@Article{BenKS14b, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Self-Generating and Efficient Shift Parameters in {ADI} Methods for Large {L}yapunov and {S}ylvester Equations}, journal = {Electronic Transaction on Numerical Analysis}, year = 2014, volume = 43, pages = {142--162}, issn = {1068-9613}}
@Article{NowKEetal13, author = {Nowakowski, C. and K{\"u}rschner, P. and Eberhard, P. and Benner, P.}, title = {Model reduction of an elastic crankshaft for elastic multibody simulations}, journal = {ZAMM-Z. Angew. Math. Me.}, year = 2013, volume = 93, pages = {198--216}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, publisher = WileyVCH, issn = {1521-4001}, issue = 4, doi = {10.1002/zamm.201200054}}
@Article{BenKS13c, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Efficient Handling of Complex Shift Parameters in the Low-Rank {C}holesky Factor {ADI} Method}, journal = {Numer. Alg.}, year = 2013, volume = 62, number = 2, pages = {225--251}, doi = {10.1007/s11075-012-9569-7}, issn = {1017-1398}}
@Article{BenKS13a, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {A Reformulated Low-Rank {ADI} Iteration with Explicit Residual Factors}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2013, volume = 13, number = 1, pages = {585--586}, doi = {10.1002/pamm.201310273}, issn = {1617-7061}}
@InProceedings{FreK13, author = {Freitag, M.~A. and K{\"u}rschner, P.}, title = {Inner-outer methods for large-scale two-sided eigenvalue problems}, booktitle = {Oberwolfach Report - Numerical Solution of PDE Eigenvalue Problems}, year = 2013, volume = 56, pages = {86--89}, doi = {10.4171/OWR/2013/56}}
@Article{BenKS12b, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {A Goal-Oriented Dual {LRCF-ADI} for Balanced Truncation}, journal = {IFAC Proceedings Volumes (7th Vienna International Conference on Mathematical Modelling)}, year = 2012, volume = 45, number = 2, pages = {752--757}, doi = {10.3182/20120215-3-AT-3016.00133}}
@Article{BenKS12a, author = {Benner, P. and K{\"u}rschner, P. and Saak, J.}, title = {Improved Second-Order Balanced Truncation for Symmetric Systems}, journal = {IFAC Proceedings Volumes (7th Vienna International Conference on Mathematical Modelling)}, year = 2012, volume = 45, number = 2, pages = {758--762}, doi = {10.3182/20120215-3-AT-3016.00134}}
@Article{BenKS13b, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems}, journal = {Mathematical and Computer Modelling of Dynamical Systems}, year = 2013, volume = 19, number = 6, pages = {593--615}, doi = {10.1080/13873954.2013.794363}}
@Article{BenKS12c, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Avoiding complex arithmetic in the low-rank {ADI} method efficiently}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2012, volume = 12, pages = {639--640}, doi = {10.1002/pamm.201210308}, issn = {1617-7061}, publisher = WileyVCH}
@TechReport{BenKS12d, author = {P. Benner and P. K{\"u}rschner and J. Saak}, title = {Real versions of low-rank {ADI} methods with complex shifts}, institution = {Max Planck Institute Magdeburg}, year = 2012, type = {Technical report}, number = {MPIMD/12-11}, month = may, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}}
@Article{BenHK11a, author = {Benner, P. and Hochstenbach, M. and K{\"u}rschner, P.}, title = {Two-sided harmonic subspace extractions for the generalized eigenvalue problem}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = 2011, volume = 11, pages = {739--740}, date = 2011, doi = {10.1002/pamm.201110359}, issn = {1617-7061}, publisher = WileyVCH}
@InProceedings{BenHK11b, author = {Benner, P. and Hochstenbach, M.~E. and K{\"u}rschner, P.}, title = {Model order reduction of large-scale dynamical systems with {J}acobi-{D}avidson style eigensolvers}, booktitle = {International Conference on Communications, Computing and Control Applications (CCCA) 2011}, year = 2011, pages = {1--6}, month = mar, publisher = {IEEE}, doi = {10.1109/CCCA.2011.6031208}}
@InProceedings{BenEKetal11, author = {Benner, P. and Eberhard, P. and Knoll, G. and K{\"u}rschner, P. and Nowakowski, Christine C.and Ochse, G.}, title = {Optimale {FE}-{R}eduktion, {M}oderne {M}odellreduktion elastischer {B}auteile f\"ur die {S}imulation flexibler {M}ehrk\"orpersysteme}, booktitle = {Informationstagung Motoren: Fr\"uhjahrstagung 2011}, year = 2011, volume = {Heft R 553}, series = {Forschungsvereinigung Verbrennungskraftmaschinen}, pages = {175--197}}
@MastersThesis{Kue10, author = {P. K{\"u}rschner}, title = {Two-Sided Eigenvalue Methods for Modal Approximation}, school = {Chemnitz University of Technology, Department of Mathematics, Germany}, year = 2010}