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Research Group Computational Methods in Systems and Control Theory

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Research Group Computational Methods in Systems and Control Theory
(Prof. Dr. Peter Benner)


Preprint: On the benefits of the LDLT factorization for large-scale differential matrix equation solvers

July 30th, 2014
Norman Lang, Hermann Mena, and Jens Saak present an LDLT based version of the standard low-rank ADI. The method allows us to avoid complex arithmetic for the solution of matrix differential equations via higher order time integration methods, as well as the a priori reduction of the number of columns in the right hand side of the arising algebraic Lyapunov equations inside of the time integration loop.

Preprint: Extending Lyapack for the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms

July 25th, 2014
Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Orti and Alfredo Remon present an extension of the Lyapack library to solve band Lyapunov equations in CPU-GPU platforms. The approach exploits the modular structure in Lyapack, to incorporate a set of tuned routines that exploit the features of the problem and leverage the parallelism of current CPU-GPU platforms.

Preprint: Semi-active damping optimization for vibrational systems using the parametric dominant pole algorithm

July 15th, 2014
Peter Benner, Patrick Kürschner, Zoran Tomljanović, and Ninoslav Truhar present an approach to compute the optimal gain which minimizes the impulse response energy of a vibrational system. The used method employs the parametric dominant pole algorithm to produce reduced order models in order to decrease the computational cost of the optimization procedure.

Events: Joint GAMM ANLA and ALAMA Meeting 2014

July 13th, 2014
Patrick Kürschner and Jens Saak present their respective latest results on the efficient computation of frequency limited Gramain matrices and inexact Newton based solution of the LQR problem for linearized flow problems at the joint meeting of the GAMM ANLA and its spanish counterpart ALAMA taking place in Barcelona July 14-16. Peter Benner acted as part of the organizing commitee.
PMAA 2014

Events: Participation at the PMAA 2014 in Lugano

July 2nd, 2014
Martin Köhler and Jens Saak paricipate at the 8th International Workshop on Parallel Matrix Algorithms and Applications (PMAA14) from 2nd to 4th July 2014 in Lugano. Martin Köhler presented a new efficient implementation of the Bartels-Stewart Algorithm for the solution of dense generalized Lyapunov equations. Our software library FlexiBLAS was presented by Jens Saak.

Upcoming seminar talks

Date Speaker(s) Title

Date Speaker(s) Title

Date Speaker(s) Title

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