Parallel solution of triangular systems on distributed-memory multiprocessors
SIAM Journal on Scientific and Statistical Computing
Hypercube implementation of some parallel algorithms in control
Proceedings of the NATO Advanced Study Institute on The Application of Advanced Computing Concepts and Techniques in Control Engineering on Advanced computing concepts and techniques in control engineering
A parallel QR factorization algorithm with controlled local pivoting
SIAM Journal on Scientific and Statistical Computing
Computational methods for linear control systems
Computational methods for linear control systems
LAPACK's user's guide
On Rank-Revealing Factorisations
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Numerical Analysis
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
Stabilizing Large Control Linear Systems on Multicomputers
VECPAR '96 Selected papers from the Second International Conference on Vector and Parallel Processing
LAPACK Working Note 37: Two Dimensional Basic Linear Algebra Communication Subprograms
LAPACK Working Note 37: Two Dimensional Basic Linear Algebra Communication Subprograms
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We investigate in this paper the performance of parallel algorithms for computing the controllable part of a control linear system, with application to the computation of minimal realizations. Our approach is based on a method that transforms the matrices of the system to block Hessenberg form by using rank-revealing orthogonal factorizations.The experimental analysis on a high performance architecture includes two rank-revealing numerical tools: the SVD and the rank-revealing QR factorizations. Results are also reported, using the rank-revealing QR factorizations, on a parallel distributed architecture.