Construction of square root factor for solution of the Lyapunov matrix equation
Systems & Control Letters
Robust and optimal control
Matrix computations (3rd ed.)
Using PLAPACK: parallel linear algebra package
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ScaLAPACK user's guide
The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers
SIAM Journal on Scientific Computing
A BLAS-3 Version of the QR Factorization with Column Pivoting
SIAM Journal on Scientific Computing
Model Reduction for Control System Design
Model Reduction for Control System Design
A Note On Parallel Matrix Inversion
SIAM Journal on Scientific Computing
Low Rank Solution of Lyapunov Equations
SIAM Journal on Matrix Analysis and Applications
Minimal Realization Procedures Based on Balancing and Related Techniques
EUROCAST '91 Proceedings of the A Selection of Papers from the Second International Workshop on Computer Aided Systems Theory
Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)
Using hybrid CPU-GPU platforms to accelerate the computation of the matrix sign function
Euro-Par'09 Proceedings of the 2009 international conference on Parallel processing
Efficient model order reduction of large-scale systems on multi-core platforms
ICCSA'11 Proceedings of the 2011 international conference on Computational science and Its applications - Volume Part V
3POr: parallel projection based parameterized order reduction for multi-dimensional linear models
Proceedings of the International Conference on Computer-Aided Design
Parallel model reduction of large linear descriptor systems via balanced truncation
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
Parallel order reduction via balanced truncation for optimal cooling of steel profiles
Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing
Parallel algorithms for balanced truncation model reduction of sparse systems
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Accelerating model reduction of large linear systems with graphics processors
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
Automatica (Journal of IFAC)
Accelerating BST methods for model reduction with graphics processors
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
Unleashing CPU-GPU acceleration for control theory applications
Euro-Par'12 Proceedings of the 18th international conference on Parallel processing workshops
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We discuss a parallel library of efficient algorithms for model reduction of large-scale systems with state-space dimension up to O(104). We survey the numerical algorithms underlying the implementation of the chosen model reduction methods. The approach considered here is based on state-space truncation of the system matrices and includes absolute and relative error methods for both stable and unstable systems. In contrast to serial implementations of these methods, we employ Newton-type iterative algorithms for the solution of the major computational tasks. Experimental results report the numerical accuracy and the parallel performance of our approach on a cluster of Intel Pentium II processors.