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Beattie, Christopher A.

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Author ID: beattie.christopher-a Recent zbMATH articles by "Beattie, Christopher A."
Published as: Beattie, Christopher; Beattie, Christopher A.; Beattie, C.; Beattie, C. A.
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Citations contained in zbMATH Open

41 Publications have been cited 714 times in 441 Documents Cited by Year
\(\mathcal{H}_2\) model reduction for large-scale linear dynamical systems. Zbl 1159.93318
Gugercin, S.; Antoulas, A. C.; Beattie, C.
193
2008
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
62
2011
Interpolatory projection methods for structure-preserving model reduction. Zbl 1159.93317
Beattie, Christopher; Gugercin, Serkan
54
2009
Interpolatory model reduction of large-scale dynamical systems. Zbl 1229.65103
Antoulas, Athanasios C.; Beattie, Christopher A.; Gugercin, Serkan
53
2010
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. Zbl 1257.93021
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan
33
2012
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
29
2018
Interpolatory weighted-\(\mathcal{H}_2\) model reduction. Zbl 1319.93016
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C.
27
2013
Structure-preserving model reduction for nonlinear port-Hamiltonian systems. Zbl 1376.37120
Chaturantabut, S.; Beattie, C.; Gugercin, S.
26
2016
Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. Zbl 1320.93029
Drmač, Z.; Gugercin, S.; Beattie, C.
21
2015
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
Convergence of restarted Krylov subspaces to invariant subspaces. Zbl 1067.65037
Beattie, Christopher; Embree, Mark; Rossi, John
18
2004
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
17
2019
Optimal matrix approximants in structural identification. Zbl 0794.93018
Beattie, C. A.; Smith, S. W.
15
1992
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
15
2017
Nonlinear parametric inversion using interpolatory model reduction. Zbl 1433.65194
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan
13
2015
Vector fitting for matrix-valued rational approximation. Zbl 1323.93050
Drmač, Z.; Gugercin, S.; Beattie, C.
13
2015
Data-driven structured realization. Zbl 1373.93087
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan
12
2018
Convergence of the iterative rational Krylov algorithm. Zbl 1401.93051
Flagg, Garret; Beattie, Christopher; Gugercin, Serkan
12
2012
Inexact solves in interpolatory model reduction. Zbl 1236.93034
Beattie, Christopher; Gugercin, Serkan; Wyatt, Sarah
11
2012
Galerkin eigenvector approximations. Zbl 0956.65043
Beattie, Christopher
9
2000
Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher
8
1993
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
8
2015
Methods for computing lower bounds to eigenvalues of self-adjoint operators. Zbl 0857.65063
Beattie, Christopher; Goerisch, Friedrich
6
1995
Interpolatory \(H_\infty \) model reduction. Zbl 1277.93020
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan
5
2013
Convergence theorems for intermediate problems. Zbl 0578.35076
Beattie, Christopher A.; Greenlee, W. M.
5
1985
Harmonic Ritz and Lehmann bounds. Zbl 0918.65027
Beattie, Christopher
5
1998
Localization criteria and containment for Rayleigh quotient iteration. Zbl 0665.65032
Beattie, Christopher; Fox, David W.
4
1989
A note on shifted Hessenberg systems and frequency response computation. Zbl 1365.65067
Beattie, Christopher; Drmavč, Zlatko; Gugercin, Serkan
3
2011
Parallel solution of a generalized symmetric matrix eigenvalue problem. Zbl 0802.65047
Beattie, Christopher; Ribbens, Calvin J.
2
1992
An extension of Aronszajn’s rule: slicing the spectrum for intermediate problems. Zbl 0632.65063
Beattie, Christopher
2
1987
Corrigendum: Convergence theorems for intermediate problems. Zbl 0653.35070
Beattie, Christopher A.; Greenlee, W. M.
2
1986
Inclusion regions for matrix eigenvalues. Zbl 1054.15020
Beattie, Christopher; Ipsen, Ilse C. F.
2
2003
Lower bounds for the resonant frequencies of nonuniform frame structures. Zbl 0626.73057
Beattie, C.
1
1987
Rapid resolution of truncated intermediate problems. Zbl 0633.65137
Beattie, Christopher; Banach, Antoni
1
1987
Inertia-preserving secant updates. Zbl 0651.65041
Beattie, C. A.; Boisen, M. B. jun.; Johnson, L. W.
1
1989
Convergence rates for intermediate problems. Zbl 0652.49030
Beattie, Christopher; Greenlee, W. M.
1
1987
Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. Zbl 0661.15008
Beattie, Christopher; Fox, David W.
1
1988
Convergence of essential spectra for intermediate Hamiltonians. Zbl 0581.35013
Beattie, Christopher
1
1985
Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces. Zbl 0665.47003
Beattie, Christopher; Ruskai, Mary Beth
1
1988
Damping optimization of parameter dependent mechanical systems by rational interpolation. Zbl 1416.90038
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan
1
2018
Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. Zbl 1384.93015
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan
1
2017
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
17
2019
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
29
2018
Data-driven structured realization. Zbl 1373.93087
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan
12
2018
Damping optimization of parameter dependent mechanical systems by rational interpolation. Zbl 1416.90038
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan
1
2018
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
15
2017
Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. Zbl 1384.93015
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan
1
2017
Structure-preserving model reduction for nonlinear port-Hamiltonian systems. Zbl 1376.37120
Chaturantabut, S.; Beattie, C.; Gugercin, S.
26
2016
Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. Zbl 1320.93029
Drmač, Z.; Gugercin, S.; Beattie, C.
21
2015
Nonlinear parametric inversion using interpolatory model reduction. Zbl 1433.65194
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan
13
2015
Vector fitting for matrix-valued rational approximation. Zbl 1323.93050
Drmač, Z.; Gugercin, S.; Beattie, C.
13
2015
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
8
2015
Interpolatory weighted-\(\mathcal{H}_2\) model reduction. Zbl 1319.93016
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C.
27
2013
Interpolatory \(H_\infty \) model reduction. Zbl 1277.93020
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan
5
2013
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. Zbl 1257.93021
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan
33
2012
Convergence of the iterative rational Krylov algorithm. Zbl 1401.93051
Flagg, Garret; Beattie, Christopher; Gugercin, Serkan
12
2012
Inexact solves in interpolatory model reduction. Zbl 1236.93034
Beattie, Christopher; Gugercin, Serkan; Wyatt, Sarah
11
2012
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
62
2011
A note on shifted Hessenberg systems and frequency response computation. Zbl 1365.65067
Beattie, Christopher; Drmavč, Zlatko; Gugercin, Serkan
3
2011
Interpolatory model reduction of large-scale dynamical systems. Zbl 1229.65103
Antoulas, Athanasios C.; Beattie, Christopher A.; Gugercin, Serkan
53
2010
Interpolatory projection methods for structure-preserving model reduction. Zbl 1159.93317
Beattie, Christopher; Gugercin, Serkan
54
2009
\(\mathcal{H}_2\) model reduction for large-scale linear dynamical systems. Zbl 1159.93318
Gugercin, S.; Antoulas, A. C.; Beattie, C.
193
2008
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
Convergence of restarted Krylov subspaces to invariant subspaces. Zbl 1067.65037
Beattie, Christopher; Embree, Mark; Rossi, John
18
2004
Inclusion regions for matrix eigenvalues. Zbl 1054.15020
Beattie, Christopher; Ipsen, Ilse C. F.
2
2003
Galerkin eigenvector approximations. Zbl 0956.65043
Beattie, Christopher
9
2000
Harmonic Ritz and Lehmann bounds. Zbl 0918.65027
Beattie, Christopher
5
1998
Methods for computing lower bounds to eigenvalues of self-adjoint operators. Zbl 0857.65063
Beattie, Christopher; Goerisch, Friedrich
6
1995
Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher
8
1993
Optimal matrix approximants in structural identification. Zbl 0794.93018
Beattie, C. A.; Smith, S. W.
15
1992
Parallel solution of a generalized symmetric matrix eigenvalue problem. Zbl 0802.65047
Beattie, Christopher; Ribbens, Calvin J.
2
1992
Localization criteria and containment for Rayleigh quotient iteration. Zbl 0665.65032
Beattie, Christopher; Fox, David W.
4
1989
Inertia-preserving secant updates. Zbl 0651.65041
Beattie, C. A.; Boisen, M. B. jun.; Johnson, L. W.
1
1989
Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. Zbl 0661.15008
Beattie, Christopher; Fox, David W.
1
1988
Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces. Zbl 0665.47003
Beattie, Christopher; Ruskai, Mary Beth
1
1988
An extension of Aronszajn’s rule: slicing the spectrum for intermediate problems. Zbl 0632.65063
Beattie, Christopher
2
1987
Lower bounds for the resonant frequencies of nonuniform frame structures. Zbl 0626.73057
Beattie, C.
1
1987
Rapid resolution of truncated intermediate problems. Zbl 0633.65137
Beattie, Christopher; Banach, Antoni
1
1987
Convergence rates for intermediate problems. Zbl 0652.49030
Beattie, Christopher; Greenlee, W. M.
1
1987
Corrigendum: Convergence theorems for intermediate problems. Zbl 0653.35070
Beattie, Christopher A.; Greenlee, W. M.
2
1986
Convergence theorems for intermediate problems. Zbl 0578.35076
Beattie, Christopher A.; Greenlee, W. M.
5
1985
Convergence of essential spectra for intermediate Hamiltonians. Zbl 0581.35013
Beattie, Christopher
1
1985
all top 5

Cited by 586 Authors

44 Benner, Peter
35 Gugercin, Serkan
29 Beattie, Christopher A.
21 Mehrmann, Volker
20 Jiang, Yaolin
13 Peherstorfer, Benjamin
12 Breiten, Tobias
10 Goyal, Pawan
9 Antoulas, Athanasios C.
9 Eberhard, Peter
9 Feng, Lihong
8 Gosea, Ion Victor
8 Simoncini, Valeria
8 Willcox, Karen E.
7 Ahmad, Mian Ilyas
7 Drmač, Zlatko
7 Druskin, Vladimir
7 Jbilou, Khalide
7 Saak, Jens
7 Schulze, Philipp
7 Xu, Kangli
6 de Sturler, Eric
6 Güttel, Stefan
6 Lohmann, Boris
6 Redmann, Martin
6 Stykel, Tatjana
6 Unger, Benjamin
6 Van Dooren, Paul M.
6 Yuan, Quan
5 Du, Xin
5 Fehr, Jörg
5 Himpe, Christian
5 Hu, Xiyan
5 Karasözen, Bülent
5 Li, Jiaofen
5 Marheineke, Nicole
5 Mengi, Emre
5 Pontes Duff, Igor
5 Poussot-Vassal, Charles
5 Pulch, Roland
5 Uzunca, Murat
5 van der Schaft, Arjan J.
5 Zaslavsky, Mikhail
4 Astolfi, Alessandro
4 Desmet, Wim
4 Fröhlich, Benjamin
4 Grubišić, Luka
4 Grundel, Sara M.
4 Kilmer, Misha Elena
4 Krämer, Boris
4 Kürschner, Patrick
4 Liljegren-Sailer, Björn
4 Mamonov, Alexander V.
4 Matignon, Denis
4 Szyld, Daniel B.
4 van de Wouw, Nathan
4 Voigt, Matthias
4 Werner, Steffen W. R.
4 Zhang, Lei
3 Afkham, Babak Maboudi
3 Alazard, Daniel
3 Aliyev, Nicat
3 Baur, Ulrike
3 Bentbib, Abdeslem Hafid
3 Berljafa, Mario
3 Besselink, Bart
3 Borcea, Liliana
3 Bosner, Nela
3 Brugnoli, Andrea
3 Chaturantabut, Saifon
3 Damm, Tobias
3 Embree, Mark
3 Flagg, Garret M.
3 Hartmann, Carsten
3 Heinkenschloss, Matthias
3 Hesthaven, Jan S.
3 Holzwarth, Philip
3 Ionescu, Tudor Corneliu
3 Kaouane, Yassine
3 Kressner, Daniel
3 Maschke, Bernhard M.
3 Meerbergen, Karl
3 Mehl, Christian
3 Mlinarić, Petar
3 Nakatsukasa, Yuji
3 Narayan, Akil C.
3 Panzer, Heiko K. F.
3 Polyuga, Rostyslav V.
3 Pommier-Budinger, Valerie
3 Quarteroni, Alfio M.
3 Reis, Timo
3 Vuillemin, Pierre
3 Wang, Xiaolong
3 Wang, Zhu
3 Wei, Yimin
3 Wu, Gang
3 Yang, Ping
3 Zulfiqar, Umair
3 Zwart, Hans J.
2 Abbasi, M. H.
...and 486 more Authors
all top 5

Cited in 94 Serials

48 SIAM Journal on Scientific Computing
24 Linear Algebra and its Applications
22 Systems & Control Letters
20 Journal of Computational and Applied Mathematics
19 SIAM Journal on Matrix Analysis and Applications
15 Automatica
14 Computer Methods in Applied Mechanics and Engineering
14 Advances in Computational Mathematics
13 Applied Mathematics and Computation
12 Mathematical and Computer Modelling of Dynamical Systems
11 Journal of the Franklin Institute
11 Journal of Scientific Computing
10 International Journal for Numerical Methods in Engineering
8 International Journal of Control
8 Numerische Mathematik
7 Numerical Algorithms
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 BIT
6 Mathematics and Computers in Simulation
6 ETNA. Electronic Transactions on Numerical Analysis
5 Numerical Linear Algebra with Applications
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Journal of Computational Physics
4 SIAM Journal on Control and Optimization
4 Applied Numerical Mathematics
4 European Journal of Control
4 Vietnam Journal of Mathematics
4 Asian Journal of Control
3 MCSS. Mathematics of Control, Signals, and Systems
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 SIAM Review
3 ELA. The Electronic Journal of Linear Algebra
3 SIAM Journal on Imaging Sciences
3 Journal of Computational Dynamics
2 Journal of Mathematical Physics
2 Mathematics of Computation
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Computational Neuroscience
2 Multibody System Dynamics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Applied Mathematics and Mechanics
2 Numerical Algebra, Control and Optimization
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Geometry and Physics
1 Computing
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Optimization
1 Computational Mechanics
1 Applied Mathematics Letters
1 Stochastic Processes and their Applications
1 International Journal of Robust and Nonlinear Control
1 Computational Optimization and Applications
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 Journal of Vibration and Control
1 Nonlinear Dynamics
1 Chaos
1 Discrete Dynamics in Nature and Society
1 European Journal of Mechanics. A. Solids
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Computational Methods in Applied Mathematics
1 Multiscale Modeling & Simulation
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Mathematical Biosciences and Engineering
1 Oberwolfach Reports
1 Journal of Industrial and Management Optimization
1 GAMM-Mitteilungen
1 SIAM Journal on Financial Mathematics
1 Algorithms
1 Afrika Matematika
1 Journal of Mathematics in Industry
1 Evolution Equations and Control Theory
1 SIAM/ASA Journal on Uncertainty Quantification
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 AIMS Mathematics

Citations by Year