Edit Profile (opens in new tab) Freitag, Melina A. Co-Author Distance Author ID: freitag.melina-a Published as: Freitag, Melina A.; Freitag, M. A.; Freitag, Melina more...less External Links: MGP Documents Indexed: 32 Publications since 2002, including 6 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 26 Co-Authors with 29 Joint Publications 719 Co-Co-Authors all top 5 Co-Authors 2 single-authored 10 Spence, Alastair 3 Budd, Christopher John 3 Kürschner, Patrick 3 Redmann, Martin 2 Akinola, Richard O. 2 Kaya, Adem 2 Smith, N. D. 1 Almond, Darryl P. 1 Benz, Willy 1 Correnty, Siobhán 1 Cullen, Mike 1 Green, Daniel L. H. 1 Hijazi, Saddam 1 Hofmann, Bernd 1 Hunt, Giles W. 1 Jenkins, S. E. 1 Kindermann, Stefan 1 König, Josie 1 Landwehr, Niels 1 Mach, Thomas 1 McCullen, Nick J. 1 Morton, Keith William 1 Nichols, Nancy K. 1 Pestana, Jennifer 1 Potthast, Roland W. E. 1 Scheichl, Robert 1 Soodhalter, Kirk M. 1 Van Dooren, Paul M. all top 5 Serials 3 BIT 2 IMA Journal of Numerical Analysis 2 SIAM Journal on Matrix Analysis and Applications 2 Linear Algebra and its Applications 2 Numerical Linear Algebra with Applications 1 Astronomy and Astrophysics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Scientific Computing 1 SIAM Review 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computational Methods in Applied Mathematics 1 GAMM-Mitteilungen 1 Radon Series on Computational and Applied Mathematics 1 Journal of Computational Dynamics all top 5 Fields 28 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 6 Partial differential equations (35-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 174 times in 122 Documents Cited by ▼ Year ▼ A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems. Zbl 1151.65030 Freitag, Melina A.; Spence, Alastair 21 2008 Convergence of inexact inverse iteration with application to preconditioned iterative solvers. Zbl 1121.65038 Freitag, M. A.; Spence, A. 19 2007 A Newton-based method for the calculation of the distance to instability. Zbl 1228.65065 Freitag, M. A.; Spence, A. 16 2011 Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. Zbl 1142.65034 Freitag, M. A.; Spence, A. 15 2008 Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. Zbl 1171.65025 Freitag, Melina A.; Spence, Alastair 15 2007 Shift-invert Arnoldi’s method with preconditioned iterative solves. Zbl 1204.65034 Freitag, Melina A.; Spence, Alastair 13 2010 Inexact methods for the low rank solution to large scale Lyapunov equations. Zbl 1455.65050 Kürschner, Patrick; Freitag, Melina A. 11 2020 A low-rank approach to the solution of weak constraint variational data assimilation problems. Zbl 1381.93100 Freitag, Melina A.; Green, Daniel L. H. 9 2018 Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171 Freitag, Melina A.; Potthast, Roland W. E. 9 2013 Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161 Freitag, Melina A.; Spence, Alastair; van Dooren, Paul 8 2014 Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems. Zbl 1083.65054 Freitag, M.; Hofmann, B. 7 2005 A new approach for calculating the real stability radius. Zbl 1317.65097 Freitag, Melina A.; Spence, Alastair 6 2014 The calculation of the distance to a nearby defective matrix. Zbl 1340.65072 Akinola, R. O.; Freitag, M. A.; Spence, A. 5 2014 Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081 Redmann, Martin; Freitag, Melina A. 5 2018 Regularization techniques for ill-posed inverse problems in data assimilation. Zbl 1433.65107 Budd, C. J.; Freitag, M. A.; Nichols, N. K. 4 2011 The computation of Jordan blocks in parameter-dependent matrices. Zbl 1302.65136 Akinola, Richard O.; Freitag, Melina A.; Spence, Alastair 4 2014 Optimization based model order reduction for stochastic systems. Zbl 1508.93287 Redmann, Martin; Freitag, Melina A. 4 2021 A new Monte Carlo code for star cluster simulations. II: Central black hole and stellar collisions. Zbl 1022.85500 Freitag, M.; Benz, W. 2 2002 The effect of numerical model error on data assimilation. Zbl 1321.65133 Jenkins, S. E.; Budd, C. J.; Freitag, M. A.; Smith, N. D. 2 2015 GMRES convergence bounds for eigenvalue problems. Zbl 1391.65065 Freitag, Melina A.; Kürschner, Patrick; Pestana, Jennifer 2 2018 Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. Zbl 1363.65061 Freitag, Melina A.; Kürschner, Patrick 1 2015 Numerical linear algebra in data assimilation. Zbl 07778851 Freitag, Melina A. 1 2020 Conditioning analysis for discrete Helmholtz problems. Zbl 1524.35163 Kaya, Adem; Freitag, Melina A. 1 2022 Large scale inverse problems. Computational methods and applications in the Earth sciences. Based on the invited talks of the workshop, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 24–28, 2011. Zbl 1272.00036 1 2013 The Preissmann box scheme and its modification for transcritical flows. Zbl 1194.76176 Freitag, M. A.; Morton, K. W. 1 2007 Book review of: P. Benner (ed.) et al., Model reduction and approximation. Theory and algorithms. Zbl 1393.00012 Freitag, Melina 1 2018 Conditioning analysis for discrete Helmholtz problems. Zbl 1524.35163 Kaya, Adem; Freitag, Melina A. 1 2022 Optimization based model order reduction for stochastic systems. Zbl 1508.93287 Redmann, Martin; Freitag, Melina A. 4 2021 Inexact methods for the low rank solution to large scale Lyapunov equations. Zbl 1455.65050 Kürschner, Patrick; Freitag, Melina A. 11 2020 Numerical linear algebra in data assimilation. Zbl 07778851 Freitag, Melina A. 1 2020 A low-rank approach to the solution of weak constraint variational data assimilation problems. Zbl 1381.93100 Freitag, Melina A.; Green, Daniel L. H. 9 2018 Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081 Redmann, Martin; Freitag, Melina A. 5 2018 GMRES convergence bounds for eigenvalue problems. Zbl 1391.65065 Freitag, Melina A.; Kürschner, Patrick; Pestana, Jennifer 2 2018 Book review of: P. Benner (ed.) et al., Model reduction and approximation. Theory and algorithms. Zbl 1393.00012 Freitag, Melina 1 2018 The effect of numerical model error on data assimilation. Zbl 1321.65133 Jenkins, S. E.; Budd, C. J.; Freitag, M. A.; Smith, N. D. 2 2015 Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. Zbl 1363.65061 Freitag, Melina A.; Kürschner, Patrick 1 2015 Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161 Freitag, Melina A.; Spence, Alastair; van Dooren, Paul 8 2014 A new approach for calculating the real stability radius. Zbl 1317.65097 Freitag, Melina A.; Spence, Alastair 6 2014 The calculation of the distance to a nearby defective matrix. Zbl 1340.65072 Akinola, R. O.; Freitag, M. A.; Spence, A. 5 2014 The computation of Jordan blocks in parameter-dependent matrices. Zbl 1302.65136 Akinola, Richard O.; Freitag, Melina A.; Spence, Alastair 4 2014 Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171 Freitag, Melina A.; Potthast, Roland W. E. 9 2013 Large scale inverse problems. Computational methods and applications in the Earth sciences. Based on the invited talks of the workshop, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 24–28, 2011. Zbl 1272.00036 1 2013 A Newton-based method for the calculation of the distance to instability. Zbl 1228.65065 Freitag, M. A.; Spence, A. 16 2011 Regularization techniques for ill-posed inverse problems in data assimilation. Zbl 1433.65107 Budd, C. J.; Freitag, M. A.; Nichols, N. K. 4 2011 Shift-invert Arnoldi’s method with preconditioned iterative solves. Zbl 1204.65034 Freitag, Melina A.; Spence, Alastair 13 2010 A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems. Zbl 1151.65030 Freitag, Melina A.; Spence, Alastair 21 2008 Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. Zbl 1142.65034 Freitag, M. A.; Spence, A. 15 2008 Convergence of inexact inverse iteration with application to preconditioned iterative solvers. Zbl 1121.65038 Freitag, M. A.; Spence, A. 19 2007 Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. Zbl 1171.65025 Freitag, Melina A.; Spence, Alastair 15 2007 The Preissmann box scheme and its modification for transcritical flows. Zbl 1194.76176 Freitag, M. A.; Morton, K. W. 1 2007 Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems. Zbl 1083.65054 Freitag, M.; Hofmann, B. 7 2005 A new Monte Carlo code for star cluster simulations. II: Central black hole and stellar collisions. Zbl 1022.85500 Freitag, M.; Benz, W. 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 183 Authors 11 Freitag, Melina A. 6 Kürschner, Patrick 6 Palitta, Davide 6 Redmann, Martin 5 Benner, Peter 5 Kostić, Vladimir R. 5 Mengi, Emre 5 Sadkane, Miloud 4 Bergamaschi, Luca 4 Cvetković, Ljiljana 4 Jia, Zhongxiao 4 Martínez, Ángeles 4 Mehrmann, Volker 4 Potthast, Roland W. E. 4 Xue, Fei 3 Aliyev, Nicat 3 Guglielmi, Nicola 3 Miao, Cun-Qiang 3 Nechepurenko, Yuri M. 3 Simoncini, Valeria 3 Spence, Alastair 3 Szyld, Daniel B. 3 Voigt, Matthias 2 Bai, Zhongzhi 2 Çiloğlu, Pelin 2 Demyanko, Kirill V. 2 Jarlebring, Elias 2 Kalinina, Elizaveta A. 2 Li, Cen 2 Meerbergen, Karl 2 Mehl, Christian 2 Miao, Hongyi 2 Międlar, Agnieszka 2 Mitchell, Tim 2 Pestana, Jennifer 2 Plestenjak, Bor 2 Pontes Duff, Igor 2 Pozza, Stefano 2 Román, Jose E. 2 Saak, Jens 2 Šanca, Ernest 2 Schwerdtner, Paul 2 Sharma, Punit 2 Tabeart, Jemima M. 2 Uteshev, Alexei Yu. 2 Vecharynski, Eugene 2 Wang, Li 2 Yücel, Hamdullah 1 Aishima, Kensuke 1 Akinola, Richard O. 1 Alswaihli, Jehan 1 Amiraslani, Amirhossein 1 Arcucci, Rossella 1 Beattie, Christopher A. 1 Becker, Simon 1 Bojak, Ingo 1 Bosch, Jessica 1 Bozzo, Enrico 1 Bru, Rafael 1 Budd, Christopher John 1 Bujanović, Zvonimir 1 Burman, Erik 1 Buttà, Paolo 1 Carracciuolo, Luisa 1 Celik, Emine 1 Cheng, Jin 1 Cipolla, Stefano 1 Cocquet, Pierre-Henri 1 Cohen, Albert 1 Correnty, Siobhán 1 Cvetković, Dragana Lj. 1 Damiano, Lombardi 1 Damm, Tobias 1 D’Amore, Luisa 1 Dax, Achiya 1 Delay, Guillaume 1 Di Fiore, Carmine 1 Ding, Litao 1 Dolbeault, Matthieu 1 Du, Xin 1 El Khoury, Grece 1 Elman, Howard C. 1 Ern, Alexandre 1 Furuya, Takashi 1 Gander, Martin Jakob 1 Gondzio, Jacek 1 Gratton, Serge 1 Green, Daniel L. H. 1 Grubišić, Luka 1 Gugercin, Serkan 1 Gürbüzbalaban, Mert 1 Hakula, Harri 1 Hartmann, Carsten 1 Herzog, Roland 1 Hutt, Axel 1 Ish-Horowicz, Jonathan 1 Jenkins, S. E. 1 Jenko, Frank 1 Jian, Shuai 1 Jiang, Jiahua ...and 83 more Authors all top 5 Cited in 52 Serials 10 SIAM Journal on Scientific Computing 9 Journal of Computational and Applied Mathematics 8 SIAM Journal on Matrix Analysis and Applications 7 BIT 7 Linear Algebra and its Applications 6 Journal of Scientific Computing 5 Numerical Algorithms 5 Numerical Linear Algebra with Applications 3 Journal of Computational Physics 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 Computational Methods in Applied Mathematics 2 Computers & Mathematics with Applications 2 Inverse Problems 2 Journal of the Franklin Institute 2 SIAM Journal on Numerical Analysis 2 ETNA. Electronic Transactions on Numerical Analysis 2 Advances in Computational Mathematics 2 GAMM-Mitteilungen 2 Science China. Mathematics 2 Numerical Algebra, Control and Optimization 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Automatica 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Systems & Control Letters 1 Parallel Computing 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Computational and Applied Mathematics 1 Filomat 1 Applied Mathematical Finance 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 European Journal of Mechanics. B. Fluids 1 Optimization and Engineering 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 The Journal of Mathematical Neuroscience 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Linear and Topological Algebra 1 Results in Applied Mathematics all top 5 Cited in 25 Fields 101 Numerical analysis (65-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 26 Systems theory; control (93-XX) 22 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 6 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year