Solution of the Sylvester matrix equation AXBT + CXDT = E
ACM Transactions on Mathematical Software (TOMS)
Using PLAPACK: parallel linear algebra package
Using PLAPACK: parallel linear algebra package
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
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
Analysis of Multiconductor Transmission Lines
Analysis of Multiconductor Transmission Lines
Model Reduction for Control System Design
Model Reduction for Control System Design
State-space truncation methods for parallel model reduction of large-scale systems
Parallel Computing - Special issue: Parallel and distributed scientific and engineering computing
Model reduction for a class of linear descriptor systems
Journal of Computational and Applied Mathematics
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
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In this paper we investigate the use of parallel computing to deal with the high computational cost of numerical algorithms for model reduction of large linear descriptor systems. The state-space truncation methods considered here are composed of iterative schemes which can be efficiently implemented on parallel architectures using existing parallel linear algebra libraries. Our experimental results on a cluster of Intel Pentium processors show the performance of the parallel algorithms.