Heike Faßbender: Papers

Papers co-authored by / by Heike Faßbender
Eigene und beteiligte Arbeiten von Heike Faßbender

• More Simulation -- Less Testing
  in European Success Stories in Industrial Mathematics, Springer 2012

• Modellreduktion - mehr Simulation, weniger teure Prototypentests
  in Facettenreiche Mathematik - Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen, Springer 2011

• Efficient POD-based Model Order Reduction for steady aerodynamic applications.
  Alexander Vendl, Heike Faßbender
  In C. Poloni, D. Quagliare, J. Periaux, N. Gauger, and K. Giannakoglou, editors, Evolutionary and deterministic methods for design, optimization and control, pages 296.309, CIRA, Capua, Italy, 2011. EUROGEN 2011.
  

• Missing Point Estimation for Steady Aerodynamic Applications
  Alexander Vendl, Heike Faßbender
  Proceedings in Applied Mathematics and Mechanics (PAMM) 11(1), S. 839 -- 840, 2011, DOI:10.1002/pamm.201110408.
  

• Einsatz moderner Ordnungsreduktionsverfahren - Neue Wege für die numerische Simulation von Werkzeugmaschinen
  Thomas Bonin, Michael Zäh, Andreas Soppa, Heike Faßbender,
  wt-online, 3-2011, p. 150 - 155

• Moderne Modellordnungsreduktionsverfahren für Finite-Elemente-Modelle zur Simulation von Werkzeugmaschinen
  Thomas Bonin, Andreas Soppa, Jens Saak, Michael Zäh, Heike Faßbender, Peter Benner
  Proceedings of the VDI-Mechatroniktagung 2011, 31.3-1.4.2011, Dresden, 6 pages, 2011 (to appear)

• Machine tool simulation based on reduced order FE models
  Heike Faßbender and Andreas Soppa
  Mathematics and Computers in Simulation, Vol 82, S. 404 -- 413, 2011, http://dx.doi.org/10.1016/j.matcom.2010.10.020

• Time dependent weight functions for the Trajectory Piecewise-Linear approach?
  Juan Pablo Amorocho, Heike Faßbender
  Preprint 2011.
  

• Some contributions to the model order reduction of large scale non-linear electric circuits
  Juan Pablo Amorocho, Heike Faßbender
  Proceedings in Applied Mathematics and Mechanics (PAMM) 10(1), S. 639 -- 640, 2010, DOI:10.1002/pamm.201010312.
  

• Proper Orthogonal Decomposition for steady aerodynamic applications
  Alexander Vendl, Heike Faßbender
  Proceedings in Applied Mathematics and Mechanics (PAMM) 10(1), S. 635 -- 636, 2010, DOI:10.1002/pamm.201010310.
  

• A global Arnoldi method for the model reduction of second-order structural dynamical systems
  Thomas Bonin, Heike Faßbender, Andreas Soppa, Michael Zäh
  

• On the numerical solution of large-scale sparse discrete-time Riccati equations
  Peter Benner, Heike Faßbender
  Chemnitz Scientific Computing Preprints 09-11, TU Chemnitz, December 2009.
  Advances in Computational Mathematics 35(2), pp. 119 -- 147, 2011, doi:10.1007/s10444-011-9174-7

• A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos method
  Peter Benner, Heike Faßbender and Martin Stoll
  Linear Algebra and its Applications 435, pp. 578-600, 2011, doi:10.1016/j.laa.2010.04.048,
  see also Report Number 09/32, Oxford Center for Collaborative Applied Mathematics (OCCAM), Oxford, England
  

• Novel Model Reduction Techniques for Control of Machine Tools
  Peter Benner, Thomas Bonin, Heike Faßbender, Jens Saak, Andreas Soppa, Michael F. Zäh,
  Proceedings of the ANSYS Conference & 27. CADFEM Users' Meeting 2009, 18.-20. November 2009, Congress Center Leipzig, paper 2.9.18 (10 pages), 2009.
  

• Modale versus moderne Ordnungsreduktionsverfahren: Effiziente Simulation von Werkzeugmaschinen
  Thomas Bonin, Michael F. Zäh, Andreas Soppa, Heike Faßbender, Jens Saak, and Peter Benner
  MECHATRONIK, Vol. 11-12/2009, pp. 46-47, 2009.
  

• Quasi-diagonalizable and congruence-normal matrices,
  Heike Faßbender and Khakim D. Ikramov
  preprint 2007. Publish under the title "Quadratically normal und congruence-normal matrices" in Zapiski nauchnych seminarov POMI, Vol. 367, pp. 45-66, 2009 (in russian),
  see also Journal of Mathematical Sciences, Vol. 165, No. 5, pp. 521-532, 2010, dx.doi.org/10.1007/s10958-010-9822-3
  

• A detailed derivation of the parameterized SR algorithm and the symplectic Lanczos method for Hamiltonian matrices
  Heike Faßbender
  preprint 2006
  

• Machine tool simulation based on reduced order FE models.
  Heike Faßbender and Andreas Soppa
  proceedings paper in I. Troch; F. Breitenecker: No. 35 Vol. 2 of ARGESIM-Reports; 2009. ISBN/ISSN: 978-3-901608-35-3
  revised version

• Detailed version of 'Structured polynomial eigenproblems related to time delay systems'
  Heike Faßbender, D.S. Mackey, N. Mackey and C. Schröder
  preprint 2008.
  

• Structured polynomial eigenproblems related to time delay systems
  Heike Faßbender, D.S. Mackey, N. Mackey and C. Schröder
  ETNA Vol 31, pp. 306-330, 2008
  

• Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian eigenstructure using a Structure-Preserving Krylov Subspace Method
  Peter Benner, Heike Faßbender and Martin Stoll
  ETNA Vol 29, pp. 212-229, 2009
  see also Preprint NA-07-03.pdf Oxford University Computing Laboratory, Numerical Analysis Group, Oxford, England
  

• A note on the product of two skew-Hamiltonian matrices and the product of two skew-symmetric matrices,
  Heike Faßbender and Khakim D. Ikramov
  Zapiski nauchnych seminarov POMI, Vol. 359, pp. 45-51, 2008 (in russian),
  see also Journal of Mathematical Sciences, Vol. 157, No. 5, pp. 697-700, 2009, dx.doi.org/10.1007/s10958-009-9352-z
  

• Some properties of generalized K-centrosymmetric H-Matrices
  Heike Faßbender and Zhongyun Liu
  Journal of Computational and Applied Mathematics Vol. 215, Issue 1, pp. 38-48, 2008, dx.doi.org/10.1016/j.cam.2007.03.026
  

• Conjugate-normal matrices: a survey,
  Heike Faßbender and Khakim D. Ikramov
  Linear Algebra and its Applications, 429(7), pp. 1425-1441, 2008.
  

• Numerische Lineare Algebra -- Heute notwendiger denn je!
  Heike Faßbender
  Rundbrief GAMM 2/2007, pp.36-39, 2007.
  

• A note on an unusual type of polar decomposition,
  Heike Faßbender and Khakim D. Ikramov
  Linear Algebra and its Applications, 429(1), pp. 42-49, 2008.
  

• Strategies for Parallelizing the Solution of Rational Matrix Equations
  José M. Badía, Peter Benner, Maribel Castillo, Heike Faßbender, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
  In C. Bischof, M. Bücker, P. Gibbon, G.R. Joubert, T. Lippert, B. Mohr, and F. Peters (editors), Parallel Computing: Architectures, Algorithms and Applications. Proceedings of the International Conference ParCo 2007, NIC Series Volume 38, pp. 255-262, John von Neumann-Institut für Computing, Jülich, Germany, 2007. [ISBN: 978-3-9810843-4-4]
  

• On the solution of the rational matrix equation X = Q + LX^{-1}L^T method
  Heike Faßbender and Peter Benner
  EURASIP Journal on Applied Signal Processing, vol. 2007, Article ID 21850, 10 pages, 2007. doi:10.1155/2007/21850,
  see also Chemnitz Scientific Computing Preprint CSC/06-02, 2006
  

• The Parameterized SR Algorithm for Hamiltonian Matrices
  Heike Faßbender
  ETNA Vol 26, pp. 121-145, 2007
  

• Some observations on the Youla form and conjuagte-normal matrices,
  Heike Faßbender and Khakim D. Ikramov
  Linear Algebra and its Applications, 422(1), pp. 29-38, 2007.
  

• Simultaneous reduction to a block triangular form by a unitary congruence transformation,
  Heike Faßbender and Khakim D. Ikramov
  Zapiski nauchnych seminarov POMI, Vol. 346, pp. 49-62, 2007 (in russian),
  see also Journal of Mathematical Sciences, Vol. 150, No. 2, pp. 1943-1950, 2008, http://dx.doi.org/10.1007/s10958-008-0109-x
  

• Passivity preserving model reduction via a structured Lanczos method
  Heike Faßbender and Peter Benner
  Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6, 2006, pp. 8-13, IEEE 2006. [ISBN: 0-7803-9797-5]
  

• Numerische Methoden zur passivitätserhaltenden Modellreduktion (in German)
  Heike Faßbender and Peter Benner
  Automatisierungstechnik 54(4), pp. 153-160, 2006
  

• SYMMLQ-like procedure for Ax=b where A is a special normal matrix,
  Heike Faßbender and Khakim D. Ikramov
  dx.doi.org/10.1007/s10092-006-0112-x
  

• Structured Eigenvalue Problems,
  Heike Faßbender and Daniel Kressner
  GAMM Mitteilungen 29, No. 2, Themenheft Applied and Numerical Linear Algebra, Part II, pp. 297 - 318, 2006
  

• An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices,
  Heike Faßbender and Zhongyun Liu
  Journal of Computational and Applied Mathematics Vol. 206, Issue 1, pp. 578-585, 2006, doi:10.1016/j.cam.2006.08.014
  

• Several observations on symplectic, Hamiltonian, and skew-Hamiltonian matrices,
  Heike Faßbender and Khakim D. Ikramov
  Linear Algebra and its Applications 400, pp. 15 - 29, 2005
  

• Computing matrix-vector products with centrosymmetric and centrohermitian matrices,
  Heike Faßbender and Khakim D. Ikramov
  Linear Algebra and its Applications 364, pp. 235 - 241, 2003
  

• Computing roots of matrix products,
  Peter Benner and Heike Faßbender
  ZAMM 81, Suppl. 3, pp. 717 - 718, 2001

• A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati Equations,
  Peter Benner and Heike Faßbender
  In V. Olshevsky, Structured Matrices in Mathematics, Computer Science, and Engineering, Vol. 1, Contemporary Mathematics, AMS, pp. 255 - 269, 2001
  see also Report 99-12, Berichte aus der Technomathematik
  

• Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems,
  Heike Faßbender, D. Steven Mackey and Niloufer Mackey
  Linear Algebra and its Applications 332/334, pp. 37 - 80, 2001
  see also Report 99-10, Berichte aus der Technomathematik
  

• The Parameterized SR Algorithm for Symplectic (Butterfly) Matrices,
  Heike Faßbender
  Mathematics of Computation 70, No. 236, pp. 1515 - 1541, 2001
  see also Report 99-01, Berichte aus der Technomathematik
  

• Cholesky-like Factorizations of Skew-Symmetric Matrices,
  Peter Benner, Ralph Byers, Heike Faßbender, Volker Mehrmann, David Watkins
  Electronic Transactions on Numerical Analysis Vol. 11, pp. 85-93, 2000
  see also Preprint-Reihe des Chemnitzer SFB 393, Preprint SFB393/00-35

• An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem,
  Peter Benner and Heike Faßbender
  SIAM Journal on Matrix Analysis and Applications 22, No. 3, pp. 682 - 713, 2000
  see also Report 98-01, Berichte aus der Technomathematik
  

• Error Analysis of the symplectic Lanczos Method for the Symplectic Eigenvalue Problem,
  Heike Faßbender
  BIT 40:3, pp. 471 - 496, 2000
  see also Report 99-02, Berichte aus der Technomathematik
  

• On the Perturbation Theory for the unitary Eigenproblem,
  Birgit Bohnhorst, Angelika Bunse-Gerstner and Heike Faßbender
  SIAM Journal on Matrix Analysis and Applications 21, No. 3, pp. 809 - 824, 2000

• Real and complex Hamiltonain square roots of skew-Hamiltonian matrices
  D.S. Mackey, N. Mackey and Heike Faßbender
  Mathematics & Statistics Report 92, 1999, Western Michigan University, Kalamazoo, USA
  

• SLICOT drives tractors!
  Peter Benner and Heike Faßbender
  NICONET Report 1999-2, see also NICONET Newsletter 2, pp. 17 -- 22, Januar 1999.

• Initializing Newton's method for discrete-time algebraic Riccati equations using the butterfly SR algorithm,
  Peter Benner and Heike Faßbender
  In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawai'i, Hawai'i, USA, August 22-27, 1999, pp. 70-74. [ISBN 0-7803-5449-4]

• SR and SZ algorithms for the symplectic (butterfly) eigenproblem,
  Peter Benner, Heike Faßbender and David Watkins
  Linear Algebra and its Applications 287, pp. 41 - 76, 1999
  

• Hamiltonian Square Roots of Skew-Hamiltonian Matrices,
  Heike Faßbender, D. Steven Mackey, Niloufer Mackey and Hongguo Xu
  Linear Algebra and its Applications 287, pp. 125 - 159, 1999

• On Sliding Window Schemes for Discrete Least-Squares Approximation by Trigonometric Polynomials,
  Heike Faßbender
  Proceedings of the Fourth Institute of Mathematics Conference - Mathematics in Signal Processing, Oxford University Press 1998, pp. 315 - 326 (short version of Report 98-02, Berichte aus der Technomathematik)
  

• The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method,
  Peter Benner and Heike Faßbender
  Linear Algebra and its Applications 275 - 276, pp. 19 - 47, 1998

• Error bounds in the isometric Arnoldi process,
  Angelika Bunse-Gerstner and Heike Faßbender
  Journal of Computational and Applied Mathematics, Vol. 86, pp. 53 - 72, 1997

• Two Connections between the SR and HR Eigenvalue Algorithms,
  Peter Benner, Heike Faßbender and David Watkins
  Linear Algebra and its Applications, Vol. 272, pp. 17 - 32, 1997

• Inverse Unitary Eigenproblems and Related Orthogonal Functions,
  Heike Faßbender
  Numerische Mathematik, Vol. 77, pp. 323 - 345, 1997

• An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem,
  Peter Benner and Heike Faßbender
  Linear Algebra and its Applications, Vol. 263, pp. 75 - 111, 1997
  see also A Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem,
  Peter Benner and Heike Faßbender
  Technical Report SPC 95_28, TU Chemnitz-Zwickau, 1995

• A Jacobi-like method for solving algebraic Riccati equations on parallel computers,
  Angelika Bunse-Gerstner and Heike Faßbender
  IEEE Transactions on Automatic Control, Vol. 42, No 8, 1997

• On Numerical Methods for Discrete Least-Squares Approximation by Trigonometric Polynomials,
  Heike Faßbender
  Mathematics of Computation, Vol. 66, No. 218, pp. 719 - 741, 1997

• A Note on Newbery's Algorithm for Discrete Least-Squares Approximation by Trigonometric Polynomials,
  Heike Faßbender
  Electronic Transactions on Numerical Analysis, Vol. 4, pp. 64 - 74, 1996

• On Numerical Methods For Discrete Least-Squares Approximation By Trigonometric Polynomials,
  Heike Faßbender
  Proceedings of the fifth SIAM conference on applied linear algebra, edited by J. Lewis, pp. 445 - 449, 1994

• On the generalized Schur decomposition of a matrix pencil for parallel computation,
  Angelika Bunse-Gerstner and Heike Faßbender,
  SIAM J. Sci. Stat. Comp. 12 (1991), 911 - 939

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