Rational iterative methods for the matrix sign function
SIAM Journal on Matrix Analysis and Applications
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: myths and reality
SIAM Journal on Scientific Computing
Matrix computations (3rd ed.)
The Matrix Sign Function Method and the Computation of Invariant Subspaces
SIAM Journal on Matrix Analysis and Applications
ScaLAPACK user's guide
The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers
SIAM Journal on Scientific Computing
Computing rank-revealing QR factorizations of dense matrices
ACM Transactions on Mathematical Software (TOMS)
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
Singular Control Systems
Stabilizing Large Control Linear Systems on Multicomputers
VECPAR '96 Selected papers from the Second International Conference on Vector and Parallel Processing
Parallel Implementation of the Nonsymmetric QR Algorithm forDistributed Memory Architectures
Parallel Implementation of the Nonsymmetric QR Algorithm forDistributed Memory Architectures
Algorithms and conditioning for eigenvalue assignment
Algorithms and conditioning for eigenvalue assignment
Partial stability and control: The state-of-the-art and development prospects
Automation and Remote Control
Partial stabilisation of large-scale discrete-time linear control systems
International Journal of Computational Science and Engineering
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In this paper we present parallel algorithms for stabilizing large linear control systems on multicomputers. Our algorithms first separate the stable part of the linear control system and then compute a stabilizing feedback for the unstable part. Both stages are solved by means of the matrix sign function which presents a high degree of parallelism and scalability.The experimental results on an IBM SP2 platform show the performance of our approach.