Parallel Partial Stabilizing Algorithms for Large Linear Control Systems
The Journal of Supercomputing
Block algorithms for reordering standard and generalized Schur forms
ACM Transactions on Mathematical Software (TOMS)
Solving linear-quadratic optimal control problems on parallel computers
Optimization Methods & Software
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A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix sign function, then it is competitive with conventional methods for computing invariant subspaces. Stability analysis of the Newton iteration improves an earlier result of Byers and confirms that ill-conditioned iterates may cause numerical instability. Numerical examples demonstrate the theoretical results.