Peter Benner - Publications

Technical reports

NOTE: The technical reports listed below either represent papers that will not be published elsewhere or longer versions of published articles (e.g., containing more algorithmic details or numerical examples).

[TR34]	Low-Rank and Total Variation Regularization and Its Application to Image Recovery Pawan Goyal, Hussam al Daas, and Peter Benner arXiv Preprint arXiv:2003.05698v1, [cs.CV], March 2020.
[TR33]	An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models Yao Yue, Lihong Feng, and Peter Benner arXiv Preprint arXiv:1908.00820, [math.NA], July 2019.
[T32]	On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs Peter Benner, Akwum Onwunta, and Martin Stoll arXiv Preprint arXiv:1809.10645[math.OC], September 2018.
[TR31]	Peer Methods for the Solution of Large-Scale Differential Matrix Equations Peter Benner and Norman Lang arXiv Preprint arXiv:1807.08524 [math.NA], July 2018.
[TR30]	Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients Maximilian Behr, Peter Benner, and Jan Heiland arXiv e-print 1707.08711 [cs.MS] July 2017
[TR29]	A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems Peter Benner and Hamdullah Yücel Submitted, May 2017.
[TR28]	A Note on a Family of Generalized Procrustes Problems Jens Fankhänel and Peter Benner Submitted September 2015
[TR27]	H₂-Optimality Conditions for Structured Dynamical Systems Christopher Beattie and Peter Benner MPI Magdeburg Preprint MPIMD/14-18, October 2014.
[TR26]	Computational Solutions of a Family of Generalized Procrustes Problems Jens Fankhänel and Peter Benner Preprintreihe der Fakultät für Mathematik, Preprint 14-06, TU Chemnitz, June 2014.
[TR25]	Numerical Solution of Eigenvalue Problems for Alterating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems Peter Benner, Philip Losse, Volker Mehrmann, and Matthias Voigt MPI Magdeburg Preprint MPIMD/13-24, December 2013.
[TR24]	Balanced Truncation for Descriptor Systems with Many Terminals Peter Benner and André Schneider MPI Magdeburg Preprint MPIMD/13-17, October 2013.
[TR23]	FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results Peter Benner, Matthias Voigt, and Vasile Sima SLICOT Working Note 2013-2, August 2013.
[TR22]	FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications Peter Benner, Matthias Voigt, and Vasile Sima SLICOT Working Note 2013-1, August 2013.
[TR21]	Sparse-Dense Sylvester Equations in H₂-Model Order Reduction Peter Benner, Martin Köhler, and Jens Saak MPI Magdeburg Preprint MPIMD/11-11, December 2011.
[TR20]	Model Predictive Control Based on an LQG Design for Time-Varying Linearizations Peter Benner and Sabine Hein Chemnitz Scientific Computing Preprints 09-07, TU Chemnitz, November 2009/March 2010.
[TR19]	A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations Peter Benner and Jens Saak Preprint SPP1253-090, DFG Priority Programme 1253 Optimization with Partial Differential Equations, January 2010.
[TR18]	Projection-Based Model Reduction for Time-Varying Descriptor Systems: New Results Mohammad-Sahadet Hossain and Peter Benner MPI Magdeburg Preprint MPIMD/12-04, February 2012.
[TR17]	The SLICOT Toolboxes - a Survey Peter Benner, Daniel Kressner, Vasile Sima, and Andras Varga SLICOT Working Note 2009-1, August 2009.
[TR16]	Modellordnungsreduktion für strukturmechanische FEM-Modelle von Werkzeugmaschinen [German] Peter Benner Project Report, Chemnitz University of Technology, May 2008.
[TR15]	Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, and Alfredo Remón Chemnitz Scientific Computing Preprints 06-04, TU Chemnitz, November 2006.
[TR14]	Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function Sergio Barrachina, Peter Benner and Enrique S. Quintana-Ortí Preprint SFB393/05-15, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, December 2005.
[TR13]	Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles Peter Benner and Jens Saak Preprint SFB393/05-05, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, April 2005.
[TR12]	Robust Numerical Methods for Robust Control Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint 06-2004, Institut für Mathematik, TU Berlin, February 2004.
[TR11]	Experimental Evaluation of the Parallel Model Reduction Routines in PSLICOT Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí SLICOT Working Note 2002-7, August 2002.
[TR10]	Schnelle Löser zur Berechnung elektromagnetischer Felder (in German) Peter Benner, Martin Brüning, and Angelika Bunse-Gerstner Project report, Zentrum für Technomathematik, Universität Bremen and EADS Bremen, March 2001.
[TR9]	Numerical Computation of Deflating Subspaces of Embedded Hamiltonian Pencils Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint SFB393/99-15, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, June 1999.
[TR8]	A Unified Deflating Subspace Approach for Classes of Polynomial and Rational Matrix Equations Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint SFB393/00-05, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, January 2000.
[TR7]	DAREX - A Collection of Benchmark Examples for Discrete-Time Algebraic Riccati Equations (Version 2.0) Jörn Abels and Peter Benner SLICOT Working Note 1999-16, December 1999. This report updates [TR2]
[TR6]	CAREX - A Collection of Benchmark Examples for Continuous-Time Algebraic Riccati Equations (Version 2.0) Jörn Abels and Peter Benner SLICOT Working Note 1999-14, November 1999. This report updates [TR1]
[TR5]	HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loans's Square Reduced Method Peter Benner, Ralph Byers, and Eric Barth Preprint SFB393/96-06, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz-Zwickau, May 1996.
[TR4]	A Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem Peter Benner and Heike Faßbender Technical Report SPC 95_28, TU Chemnitz-Zwickau, October 1995, Errata.
[TR3]	Newton's Method with Exact Line Search for Solving the Algebraic Riccati Equation Peter Benner and Ralph Byers Technical Report SPC 95_24, TU Chemnitz-Zwickau, October 1995.
[TR2]	A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations II: Discrete-Time Case Peter Benner, Alan J. Laub, and Volker Mehrmann Technical Report SPC 95_23, TU Chemnitz-Zwickau, Dezember 1995, Errata.
[TR1]	A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations I: Continuous-Time Case Peter Benner, Alan J. Laub, and Volker Mehrmann Technical Report SPC 95_22, TU Chemnitz-Zwickau, October 1995.