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.
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.
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.
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.
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.