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MPI Magdeburg Preprints

2012

MPIMD/ Download PDF
@TECHREPORT{MPIMD12-01,
author = {Peter Benner and Patrick Kürschner and Jens Saak },
title = {A Goal-Oriented Dual LRCF-ADI for Balanced Truncation},
number = {MPIMD/12-01},
month = {January},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens Saak A Goal-Oriented Dual LRCF-ADI for Balanced Truncation.January 2012409K
@TECHREPORT{MPIMD12-02,
author = {Peter Benner and Pablo Ezzatti and Enrique S. Quintana-Ortí and Alfredo Remón},
title = {Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory},
number = {MPIMD/12-02},
month = {February},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo RemónMatrix Inversion on CPU-GPU Platforms with Applications in Control Theory.February 2012259K
@TECHREPORT{MPIMD12-03,
author = {Peter Benner and Tobias Breiten},
title = {Low rank methods for a class of generalized Lyapunov equations and related issues},
number = {MPIMD/12-03},
month = {February},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenLow rank methods for a class of generalized Lyapunov equations and related issues.February 2012459K
@TECHREPORT{MPIMD12-04,
author = {Mohammad-Sahadet Hossain and Peter Benner},
title = {Projection-Based Model Reduction for Time-Varying Descriptor Systems: New Results},
number = {MPIMD/12-04},
month = {February},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Mohammad-Sahadet Hossain, Peter BennerProjection-Based Model Reduction for Time-Varying Descriptor Systems: New Results.February 2012502K
@TECHREPORT{MPIMD12-05,
author = {Peter Benner and Thomas Mach},
title = {The LR Cholesky Algorithm for Symmetric Hierarchical Matrices},
number = {MPIMD/12-05},
month = {February},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Thomas MachThe LR Cholesky Algorithm for Symmetric Hierarchical Matrices.February 2012541K
@TECHREPORT{MPIMD12-06,
author = {Tyrone Rees and Martin Stoll},
title = {A fast solver for an H1 regularized optimal control problem},
number = {MPIMD/12-06},
month = {March},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Tyrone Rees, Martin StollA fast solver for an H1 regularized optimal control problem.March 2012943K
@TECHREPORT{MPIMD12-07,
author = {Christine Nowakowski and Patrick Kürschner and Peter Eberhard and Peter Benner},
title = {Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations},
number = {MPIMD/12-07},
month = {March},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Christine Nowakowski, Patrick Kürschner, Peter Eberhard, Peter BennerModel Reduction of an Elastic Crankshaft for Elastic Multibody Simulations.March 2012850K
@TECHREPORT{MPIMD12-08,
author = {Lihong Feng and Peter Benner and Jan G Korvink},
title = {Fast Parametric Macromodeling of MEMS using Subspace Recycling},
number = {MPIMD/12-08},
month = {March},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Lihong Feng, Peter Benner, Jan G KorvinkFast Parametric Macromodeling of MEMS using Subspace Recycling.March 20127M
@TECHREPORT{MPIMD12-09,
author = {Peter Benner and Matthias Voigt},
title = {Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems},
number = {MPIMD/12-09},
month = {April},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Matthias VoigtSpectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems.April 2012439K
@TECHREPORT{MPIMD12-10,
author = {Peter Benner and Matthias Voigt},
title = {A Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems},
number = {MPIMD/12-10},
month = {May},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Matthias VoigtA Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems.May 2012362K

2011

MPIMD/ Download PDF
@TECHREPORT{MPIMD11-01,
author = {Peter Benner and Thomas Mach},
title = {The Preconditioned Inverse Iteration for Hierarchical Matrices},
number = {MPIMD/11-01},
month = {February},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Thomas MachThe Preconditioned Inverse Iteration for Hierarchical Matrices.February 2011287K
@TECHREPORT{MPIMD11-02,
author = {Peter Benner and Tobias Breiten},
title = {Interpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems},
number = {MPIMD/11-02},
month = {June},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenInterpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems.June 2011514K
@TECHREPORT{MPIMD11-03,
author = {Martin Stoll and Andy Wathen},
title = {All-at-once solution of time-dependent Stokes control},
number = {MPIMD/11-03},
month = {June},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Stoll, Andy WathenAll-at-once solution of time-dependent Stokes control.June 2011507K
@TECHREPORT{MPIMD11-04,
author = {Martin Stoll},
title = {One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem},
number = {MPIMD/11-04},
month = {July},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin StollOne-shot solution of a time-dependent time-periodic PDE-constrained optimization problem.July 20111M
@TECHREPORT{MPIMD11-05,
author = {John W. Pearson and Martin Stoll and Andy Wathen},
title = {Regularization-robust preconditioners for time-dependent PDE constrained optimization problems},
number = {MPIMD/11-05},
month = {September},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

John W. Pearson, Martin Stoll, Andy WathenRegularization-robust preconditioners for time-dependent PDE constrained optimization problems.September 20111024K
@TECHREPORT{MPIMD11-06,
author = {Hermann Mena, Peter Benner},
title = {Rosenbrock methods for solving di fferential Riccati equations},
number = {MPIMD/11-06},
month = {October},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Hermann Mena, Peter BennerRosenbrock methods for solving di fferential Riccati equations.October 2011303K
@TECHREPORT{MPIMD11-07,
author = {Peter Benner and Pablo Ezzatti and Hermann Mena and Enrique S. Quintana-Ortí and Alfredo Remón},
title = {Solving Matrix Equations on Multi-core and Many-core Architectures},
number = {MPIMD/11-07},
month = {October},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, Alfredo RemónSolving Matrix Equations on Multi-core and Many-core Architectures.October 2011216K
@TECHREPORT{MPIMD11-08,
author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method},
number = {MPIMD/11-08},
month = {October},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakEfficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method.October 2011509K
@TECHREPORT{MPIMD11-09,
author = {Thomas Mach},
title = {Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format},
number = {MPIMD/11-09},
month = {December},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Thomas MachComputing Inner Eigenvalues of Matrices in Tensor Train Matrix Format.December 2011126K
@TECHREPORT{MPIMD11-10,
author = {Peter Benner and Tobias Breiten},
title = {On optimality of interpolation-based low-rank approximations of large-scale matrix equations},
number = {MPIMD/11-10},
month = {December},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenOn optimality of interpolation-based low-rank approximations of large-scale matrix equations.December 2011464K
@TECHREPORT{MPIMD11-11,
author = {Peter Benner and Martin Köhler and Jens Saak},
title = {Sparse-Dense Sylvester Equations in ℋ₂-Model Order Reduction},
number = {MPIMD/11-11},
month = {December},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Martin Köhler, Jens SaakSparse-Dense Sylvester Equations in ℋ₂-Model Order Reduction.December 2011635K
@TECHREPORT{MPIMD11-12,
author = {Thomas Mach and Jens Saak},
title = {Towards an ADI iteration for Tensor Structured Equations},
number = {MPIMD/11-12},
month = {December},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Thomas Mach, Jens SaakTowards an ADI iteration for Tensor Structured Equations.December 2011486K
@TECHREPORT{MPIMD11-13,
author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {Improved second-order balanced truncation for symmetric systems},
number = {MPIMD/11-13},
month = {December},
year = 2011,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakImproved second-order balanced truncation for symmetric systems.December 2011382K

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Jens Saak, saak@mpi-magdeburg.mpg.de