Uchiumi, "Nonlinear analysis of rotordynamic fluid forces in the annular plain seal by using extended
perturbation analysis of the bulk-flow theory (influence of whirling amplitude in the case with concentric circular whirl)," Journal of Tribology, vol.
Authors in [5] presented a
perturbation analysis of the matrix equation C + [[summation].sup.r.sub.i=1] [[sigma].sub.i][A.sub.i]X[B.sub.i] + D[X.sup.s]E = 0, for positive integers r,s [greater than or equal to] 2, and employed Lyapunov majorant and fixed point-point principle to derive both local and nonlocal bounds.
When volatility follows a fast mean-reverting process, the singular
perturbation analysis can be employed to solve the partial differential equation of the pricing problem.
Perturbation analysis is conducted to determine operating conditions leading to instabilities and the results are verified by numerical integration.
They cover norms and
perturbation analysis, least squares problems, generalized inverses, the conjugate gradient method, optimal and super-optimal preconditioners, optimal preconditioners for functions of matrices, and B|ttcher-Wenzel conjecture and related problems.
Using the nonlocal
perturbation analysis techniques developed in [8, 9], nonlocal perturbation bounds are then derived.
The controller is designed for the network-free control system and then a
perturbation analysis is performed for the networked system.
But, knowing that turbulence is fundamentally non-linear, the team decided a non-linear
perturbation analysis was exactly what was called for.
However, the
perturbation analysis and the backward error analysis for these algorithms have not been studied, which are important to the analysis of the accuracy and stability for computing the largest eigenvalue by these algorithms.
Other topics of the 15 papers include dynamic spectrum access,
perturbation analysis for spectrum sharing, optimal RF beamforming for MIMO cognitive networks, computation of performance parameters, and emergency cognitive radio ad hoc networks.